Analyses 7T65 Main


ACBL Instant Matchpoint Pairs


 by Richard Pavlicek

September 14, 2000

I hope you enjoyed participating in the ACBL Instant Matchpoint Pairs, an annual event begun in 1987 to celebrate the 50th anniversary of our ACBL. Regardless of how well you did, try to find time to compare your results with my analyses in this booklet. You may find some helpful tips, and might even discover that some of your results topped my predictions. Determine your matchpoint scores from the tables (top is 100); double-dummy par scores are shown in bold.

I have also included statistical analyses of these 36 deals, as well as all 504 deals since this event began. You will find this at the end of the booklet.

I welcome any feedback — questions, criticisms, or whatever — about the analyses. If you wish a reply, please contact me by e-mail (richard@rpbridge.net). Also, if you have access to the Internet, visit my web site (rpbridge.net) where you will find a large assortment of complimentary bridge material — quizzes, puzzles, humor, articles, systems, bidding practice, and more.

Richard Pavlicek

ACBL Insert

Richard Pavlicek of Fort Lauderdale FL is one of the leading ACBL bridge players. He has won 10 North American championships including the coveted Vanderbilt Cup (1983, ‘86, ‘95), the Reisinger Cup (1982, ‘83, ‘84, ‘90), the Grand National Teams (1973, ‘97), and the Open Swiss Teams (1992).

Mr. Pavlicek is the author of a variety of bridge booklets and lesson materials including his Bridge Tutor software for personal computers. He and his wife, Mabel, are successful bridge teachers in South Florida.

For the 14th year in a row, Pavlicek, a respected bridge analyst, has focused his highly skilled critical examination on each of the 36 deals in the ACBL Instant Matchpoint Pairs.

Board 1

Assuming 15-17 notrumps, a good case could be made for North to open 1 NT with such a barren 18, but most will honor the point count:

WestNorthEastSouthNorth dealsS 5 4 3
… 100
+490 99
… 98
+460 97
+450 96
… 95
+430 91
+420 81
+400 56
… 38
+210 37
+200 36
… 35
+180 34
+170 32
… 30
+150 24
+140 18
… 17
+120 16
+110 15
… 14
+90 13
… 12
-50 9
… 4
-100 3
… 2
-150 1
… 0
1 CPass1 SNone vulH A K J 4
Pass2 NTPass3 DD A K 5
Pass3 NTPassPassC K 8 2
PassS Q JTableS 10 9 7
 H Q 8 2H 10 6 3
 D Q 9 8 6 4D J 10 2
 C Q 7 4C A J 5 3
 S A K 8 6 2
 H 9 7 5
 D 7 3
 3 NT NorthC 10 9 6

South’s 3 D is “new minor forcing” (an artificial checkback) and North is supposed to show his three-card spade fit (or perhaps bid hearts), but I would take exception with North’s flat hand. Three notrump sure feels right at matchpoints.

Unless East finds a club lead, 10 tricks are available in notrump — duck a spade to establish that suit, then eventually collect four heart tricks with the lucky lie. An original club lead limits declarer to nine tricks, but this seems far-fetched with North bidding the suit.

Those who play in spades appear to have no advantage, but 11 tricks can be won unless West leads a club. Assuming a passive diamond lead, the best technique is to cross to the S K and take a first-round heart finesse; then win the S A and eliminate the diamonds with a ruff (key play) before running the hearts. When East wins his high trump, he will be endplayed. If declarer misses the elimination, only 10 tricks can be won.

Board 2

The top spot for East-West is 5 D, but it is difficult to reach. Here is an auction I would expect at many tables:

WestNorthEastSouthEast dealsS K 10 8 5 2
… 100
+300 99
… 98
+150 97
… 96
+110 95
+100 94
… 92
+50 88
… 85
-100 84
-110 82
… 80
-130 78
-140 74
-150 56
… 38
-170 37
… 36
-200 35
… 34
-300 33
… 32
-400 27
-420 17
… 15
-450 9
… 6
-500 5
… 4
-550 4
… 3
-610 3
… 2
-650 2
… 1
-800 1
… 0
1 D2 CN-S vulH 7 6 5
Dbl3 C3 DPassD 4
3 HPassPassPassC J 10 7 2
 S Q J 4 3TableS A 7
 H K Q J 10 9H A 8
 D 8 7 5D K Q J 10 6 3
 C 5C 8 4 3
 S 9 6
 H 4 3 2
 D A 9 2
 3 H WestC A K Q 9 6

West’s final bid is dubious with a diamond fit, but the solidity of his suit makes it a good matchpoint venture. A new suit by a player who made a negative double is nonforcing, and East does well to resist the temptation to raise to 4 H.

In hearts, the play goes sour for declarer. The routine diamond lead nets two quick ruffs, limiting declarer to nine tricks and a poor score. Note that if North shifts to a spade after getting his second ruff, declarer must take the spade finesse to make 3 H.

In diamonds, however, the play is sweet for 11 tricks. After a top club and spade shift, declarer can just draw trumps. If the defense begins with two rounds of clubs, declarer should lead trumps once (ducked, best) then ruff his last club, etc.

A few North-South pairs may unwisely push to 4 C, which is routinely down two and may be doubled for a terrible score.

Board 3

The bidding could take many different turns, but this looks like a reasonable auction to me:

WestNorthEastSouthSouth dealsS Q 10 5 2
… 100
+800 99
… 99
+500 98
… 97
+420 97
… 96
+300 94
… 92
+200 88
… 83
+170 78
… 73
+150 72
+140 63
+130 54
+120 53
+110 49
+100 38
+90 32
… 31
-50 26
… 21
-80 20
-90 16
-100 10
-110 8
-120 7
… 6
-140 5
-150 4
… 4
-170 3
-180 2
… 1
-300 1
… 0
PassE-W vulH A 8 7 3
1 DDbl1 NT2 SD Q
PassPassPassC A J 9 4
 S 8 6TableS A 9 3
 H K Q J 9H 10 6 4 2
 D A K 8 7 3D 9 4 2
 C 7 3C K 10 5
 S K J 7 4
 H 5
 D J 10 6 5
 2 S SouthC Q 8 6 2

Note East’s decision to suppress his lousy four-card major. In the long run it is suicide to bid a weak major suit after an enemy takeout double; even if you locate a 4-4 fit it will usually play poorly with the trump honors offside and the likelihood of a 4-1 break. The only intelligible way to reach hearts, I think, is for West to open 1 H with his sturdy suit — a reasonable choice even if your approach is “five-card majors.”

In spades, there are only three apparent losers, but the limit is nine tricks with any sensible defense. For one, West could get a club ruff; for another, the defense could lead trumps. But none of these attacks is really necessary. Declarer’s trumps are too meager to negotiate all the ruffing and establish clubs without the defense getting four tricks.

What about hearts for East-West? As predicted above, it plays poorly despite the nice trump fit. The limit is eight tricks, and an astute North player might double 3 H for the magic 200.

Board 4

Bidding philosophy after a 2-over-1 response comes up for debate here. I believe in the “natural” approach and would bid like this:

WestNorthEastSouthWest dealsS A J 9 5 2
… 100
+690 99
+680 98
… 97
+660 96
+650 87
… 80
+630 71
+620 53
+600 36
… 30
+200 29
… 28
+180 27
+170 25
… 23
+140 22
… 21
-100 13
… 5
-200 3
… 2
-300 1
… 0
Pass1 SPass2 HBoth vulH 8 7
Pass3 CPass3 DD 8 3
Pass3 HPass4 HC A Q 6 4
PassPassPassS 10 4TableS K Q 7 6 3
 H Q 6 2H 10 3
 D A J 7 2D 9 6 4
 C K 8 5 2C 10 9 3
 S 8
 H A K J 9 5 4
 D K Q 10 5
 4 H SouthC J 7

Opener’s 3 C rebid is the focus of the debate. To me, it just describes opener’s shape; but to many others it promises extra strength — sometimes called a “high reverse.” Players in that camp would be forced to rebid 2 S, which is just a waiting bid. (To me, 2 S would show six cards or a very strong five.) Either way is OK as long as you agree with partner. Oh, and there is another camp I probably should mention: Al Roth would pass the North hand and still reach 4 H in a breeze.

In hearts, 10 tricks are easy and many will win 11 with the help of the opening lead. At double-dummy, only a spade lead by West stops an 11th trick. If West leads, say, a club, declarer has three club tricks and needs only to negotiate one diamond ruff in dummy before drawing trumps.

With stoppers in all the suits, some will play in notrump where only nine tricks are available, unless the defense slips.

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 5

Many North-South pairs will bark at the door to this inferior slam, but sound bidding should stop short:

WestNorthEastSouthNorth dealsS A Q J 8 4 3
… 100
+1460 99
+1440 98
+1430 91
… 85
+710 81
+690 77
+680 54
… 32
+660 31
+650 20
… 11
+620 10
… 9
+230 8
… 7
+200 6
… 5
-100 4
… 3
-200 2
… 1
-300 1
… 0
1 SPass2 DN-S vulH K 10 8 5
Pass2 HPass3 HD
Pass3 SPass4 DC K J 6
Pass4 HAll PassS K 6 2TableS 9 5
 H 6 3 2H 7 4
 D K J 9 7D 10 6 5 2
 C Q 5 3C A 10 9 7 4
 S 10 7
 H A Q J 9
 D A Q 8 4 3
 4 H NorthC 8 2

South’s raise to 3 H is forcing (assuming 2-over-1 game force) and North emphasizes his 6-4 pattern. When South shows the wasted diamond control, North uses good judgment to give up. The slam appears to be 50-50 (on the spade finesse) but is actually worse with the possibility of bad breaks in the majors. Alas, by another definition, a “good slam” is one that makes; so the overbidders will be rewarded. Hmm. Have we ever heard that before?

Most Easts will lead the ace and another club (unbid suit) which seems friendly but actually gives declarer a losing option: a ruffing spade finesse after discarding a spade on the third club. Nonetheless, it is superior to draw trumps and take the straight finesse since declarer can cope with K-x-x-x onside. Alternatively, declarer can succeed without a finesse by ruffing out the S K before drawing trumps, but this requires a 3-2 break in both majors and no club ruff.

Board 6

Now it is East-West’s turn for the slam barking, and once again accurate bidding should stop short:

WestNorthEastSouthEast dealsS K J 9 7
… 100
+500 99
… 98
+400 97
… 96
+300 95
… 94
+200 93
… 92
+100 87
… 84
-170 83
… 82
-210 81
… 80
-600 79
-620 77
-630 67
… 57
-650 56
-660 36
… 17
-680 16
-690 10
… 7
-720 6
… 5
-1430 4
-1440 3
… 2
-1470 2
… 1
-1680 1
… 0
2 CPassE-W vulH Q 7 3
2 DPass3 NTPassD 7 3
4 NTPassPassPassC K 9 7 5
 S Q 10 4TableS A 2
 H J 8 2H A K 10 9
 D Q J 2D A K 5
 C J 6 4 2C A Q 10 8
 S 8 6 5 3
 H 6 5 4
 D 10 9 8 6 4
 4 NT EastC 3

East promotes his superb 24 HCP to the 25-27 range, after which West is obliged to invite slam and East declines. It is difficult to reject anything with a hand like East’s, but everything is relative to what you have shown; and East is clearly at a minimum for his 3 NT bid.

Can a slam be made? With the club and heart finesses working, it looks like 12 tricks: one spade, four hearts, three diamonds and four clubs; but these cannot be realized with one entry to the West hand, assuming South doesn’t help with the opening lead. The limit is 11 tricks, and some will win less if they use the lone entry to lead clubs and mistime the play.

A defensive error may allow a few declarers to win 12 tricks. If the H J is led from dummy, North must cover — normal technique since the honor led is unaccompanied by a touching card. If North were to duck, declarer could switch to clubs then catch North in an endplay in the black suits. (This is true even after an original spade lead.)

Board 7

The slam theme continues, but this time it’s a claimer. The proper bidding is mostly a matter of system. Here is one possibility:

WestNorthEastSouthSouth dealsS K J 8 7
… 100
+100 99
… 98
-230 97
… 96
-650 95
… 94
-680 70
-690 45
… 44
-710 43
… 42
-1430 23
-1440 3
… 2
-1660 1
… 0
PassBoth vulH 2
1 HPass3 NTPassD 6 2
4 NTPass5 SDblC Q 10 9 8 7 4
6 HPassPassPassS 3TableS 9 6 5 4 2
 H A J 9 5 4 3H K Q 10 6
 D A K 5D Q J
 C K J 2C A 6
 S A Q 10
 H 8 7
 D 10 9 8 7 4 3
 6 H WestC 5 3

Three notrump is an artificial forcing raise with no splinter, and West has enough to drive to slam. A routine check with Roman key-card Blackwood reveals that East has two key cards plus the trump queen. South doubles the 5 S response to request that lead, but it makes no difference.

Looking over the previous results on this deal was mind-boggling, as 36 pairs scored only 650 in hearts. Say what? I suppose one could imagine a beginner ruffing a club low and getting overruffed; but 36 times? Give me a break. If that wasn’t enough, five pairs scored 710. Wow! Now that’s what I call great declarer play.

All considered, I felt the calculated awards were unfair, mainly because the actual award for a par result (-1430) gave North-South only 14 percent. Therefore, I made the adjustments reflected below.

Board 8

Left to their own, North-South would reach 3 NT; but I can picture this scenario at some tables:

WestNorthEastSouthWest dealsS Q 3
… 100
+800 99
… 98
+500 97
… 96
+460 95
… 94
+430 83
… 70
+400 49
… 31
+300 30
… 29
+180 28
… 27
+150 26
+140 25
+130 24
+120 23
+110 22
+100 21
+90 20
… 19
+50 18
… 17
-50 13
… 7
-100 5
… 4
-150 3
… 2
-200 1
… 0
Pass1 D2 HDblNone vulH A K J 10
PassPassPassD 10 6 4 3
 C Q J 7
 S K 7 2TableS A 9 6 5
 H 7 4H Q 9 8 6 5 2
 D K J 9 2D 7
 C 6 4 3 2C 9 5
 S J 10 8 4
 H 3
 D A Q 8 5
 2 H× EastC A K 10 8

South’s double is negative, and North converts it to penalty with his strong hearts — a reasonable choice but it backfires. With routine play East will come to six tricks (down two) for a superior score. In fact, if South begins with three rounds of clubs, East can win seven tricks by leading a diamond early (ace wins), then winning two spades before leading a heart from dummy (without cashing D K); North is eventually endplayed and both of East’s spades go away on the diamonds.

In notrump, a heart lead by East makes nine tricks easy by developing a spade trick. It is possible to win 10 tricks, either by finessing the S 8 or by several workable endplays, but these seem dubious. I suspect that most who won 10 tricks were given help.

This deal offers more evidence that bridge is a bidder’s game. East’s weak jump overcall with a lousy suit and a side four-card major may be revolting to some, but it upsets the apple cart — at least in my scenario.

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 9

A stretch for game will be a common issue here, and it is difficult to improve on this standard sequence:

WestNorthEastSouthNorth dealsS K 8 7
… 100
+800 99
… 98
+500 97
… 96
+460 90
+450 81
… 80
+430 74
+420 67
+400 64
… 63
+300 62
… 61
+210 54
+200 44
… 40
+180 35
+170 25
… 22
+150 18
+140 13
+130 8
+120 6
+110 5
… 4
-50 3
… 2
-100 1
… 0
PassPass1 CE-W vulH J 9 7 6 4
1 D1 HPass1 SD K Q 7
Pass1 NTPass2 NTC 6 4
Pass3 NTAll PassS J 10 9TableS 5 4 3
 H A QH K 8 3 2
 D A J 6 3 2D 10 8 4
 C 10 5 3C J 9 2
 S A Q 6 2
 H 10 5
 D 9 5
 3 NT NorthC A K Q 8 7

Well, I suppose you could improve on it by catching West in 1 D doubled (routinely down two for 500) but that’s unrealistic. Just getting to the sound game with only 24 HCP assures North-South a good score.

With the D A marked to be onside, 3 NT essentially requires a 3-3 break in either clubs or spades, which makes it a favorite. With both black suits behaving, declarer has 10 easy tricks, or 11 if West doesn’t cash two hearts after winning the D A (or if he ducks twice). Note that the blockage in hearts prevents East-West from cashing a third heart trick.

A slightly inferior play could produce less. Assume a diamond to the ace and a diamond return; then S A, S K. When West drops two significant cards (it matters not which) the percentage play in the spade suit alone is to finesse East for the other card, based on restricted choice. Luckily, declarer still survives with nine tricks (unless he cashed his high diamond).

Board 10

The misfitting values make this a treacherous deal for East-West, and some will get overboard. I like this sequence:

WestNorthEastSouthEast dealsS A 9 5 3
… 100
+800 99
… 98
+500 97
+400 96
… 95
+300 94
… 92
+200 83
… 74
+100 66
… 59
-90 58
-100 57
-110 39
… 22
-130 13
-140 11
-150 10
… 9
-200 8
… 7
-300 6
… 5
-400 4
-500 3
… 2
-800 1
… 0
PassPassBoth vulH 5 4
1 D2 CPassPassD Q 7
2 HPass2 SPassC A K Q 8 2
3 DPassPassPassS 8TableS K Q J 7 4
 H K Q J 10H 9 3
 D A K J 10 9 3D 6 4 2
 C 6 4C J 9 5
 S 10 6 2
 H A 8 7 6 2
 D 8 5
 3 D WestC 10 7 3

West’s reopening reverse seems ideal with his great playing potential. It would also be acceptable to rebid 2 D (conservative), but I would never double with a singleton spade. East shows his spade suit and then uses good judgment to pass 3 D — just in time.

In diamonds, nine tricks are laydown if declarer just plays trumps from the top. The other option is to cash one top trump, then try to reach dummy with a heart ruff to take the finesse. The probabilities are too close to call; but the deciding factor, I think, is that if North held a singleton diamond (i.e., 4=3=1=5 or 3=4=1=5 pattern) he might have doubled 1 D instead of overcalling. Hence, the simple line is better. Or, by the armchair rules of analysis, the play that works is always better.

Board 11

A textbook weak two-bid seems rare these days, but sometimes you get endplayed by the dealer. I like this sequence:

WestNorthEastSouthSouth dealsS Q 7 2
… 100
+150 99
… 98
+100 97
… 96
+50 88
… 81
-100 80
… 79
-150 78
… 77
-170 76
… 75
-200 74
… 73
-230 72
… 71
-400 67
-420 62
… 58
-450 52
… 44
-480 35
-490 25
-500 24
-510 23
-520 22
… 21
-800 20
… 19
-920 15
… 11
-940 10
… 9
-980 6
… 4
-1010 3
… 2
-1100 1
… 0
2 HNone vulH 10 9 7 3
2 S3 H4 NTPassD Q J 8 4
5 HPass6 CPassC 5 3
PassPassS A J 8 5 4TableS K 10 9
 H J 8H 4
 D A K 10 5D 6 3
 C 9 4C A K Q J 10 7 6
 S 6 3
 H A K Q 6 5 2
 D 9 7 2
 6 C EastC 8 2

Assuming Roman key-card Blackwood, West shows two aces without the queen of spades. East is then forewarned of the spade problem and bids the slam in clubs to increase his chances. It is painful at matchpoints to eschew a major to play in a minor, but it is surely warranted here.

In clubs, declarer does not even need to take the spade finesse. The proper technique is to lead all but one trump to reach: S A-8 D A-K-10-5 opposite S K-10-9 D 6-3 C 7. (Note the unblock of the S J in case a finesse through North is necessary.) Next cash the top diamonds and ruff a diamond; either the D 10 will be good or North’s S Q will pop up on the second round. Alternatively, declarer could ruff the diamond early and lead all his trumps to accomplish the same thing.

In spades, 12 tricks are also available with a spade guess, and the enemy bidding provides the blueprint. Even the annoying defense of two rounds of hearts does not prevent declarer from picking up North’s queen.

Board 12

Unless East gets ambitious, a routine game in spades should be reached with this standard sequence:

WestNorthEastSouthWest dealsS 8
… 100
+150 99
… 98
+100 97
… 96
+50 95
… 92
-140 91
-150 90
… 89
-170 88
-180 87
… 86
-200 85
… 84
-400 82
-420 72
-430 62
… 54
-450 33
-460 5
… 4
-480 3
… 2
-980 1
… 0
PassPass1 SPassN-S vulH Q 10 9 5
2 SPass4 SPassD K 8 4
PassPassC 10 8 7 4 2
 S J 10 7 3TableS K Q 9 6 4
 H J 8 6 4 3H A 7
 D 7 2D A Q 9 3
 C K 6C A J
 S A 5 2
 H K 2
 D J 10 6 5
 4 S EastC Q 9 5 3

Should East make a slam try? It is close, but in my experience 5-4-2-2 shapes are usually disappointing. The only real hope for a good slam (not dependent on a finesse) might be if West had an exceptional diamond fit; but this is remote. If East reveals his second suit, it is more likely to aid the defense. I think a simple 4 S will net the best results in the long run.

In spades, 11 tricks can be won by ruffing two diamonds before drawing trumps; or, in some scenarios, by establishing the long heart. If South finds the best lead of a low trump, declarer must take the diamond finesse early to make the overtrick — a dubious play since it could result in down one if it loses and two more trumps are led. The safer line (clearly correct at IMPs) is to play the H A and another heart; but now South can hold declarer to 10 tricks with S A and another spade. Note that declarer is unable to establish the long heart and take the diamond finesse.

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 13

This excellent slam might be reached in many ways. Here is one way, similar to the sequence on Board 7:

WestNorthEastSouthNorth dealsS A Q 10 5 2
… 100
+1660 99
… 98
+1440 97
+1430 80
… 61
+690 60
+680 41
… 23
+660 21
+650 16
… 14
+630 13
+620 12
… 11
-100 7
… 4
-200 3
… 2
-300 1
… 0
1 SPass3 NTBoth vulH K Q 10 3
Pass4 CPass4 DD 4
Pass4 NTPass5 HC A 10 5
Pass6 SAll PassS 7TableS 9 4 3
 H 9 8 4H A J 7 2
 D J 10 8 2D Q 6 5 3
 C Q 9 8 6 2C 7 4
 S K J 8 6
 H 6 5
 D A K 9 7
 6 S NorthC K J 3

After the 3 NT artificial raise (no splinter), North indicates slam interest by showing his club control; South shows his diamond control; then North takes charge with Roman key-card Blackwood. A case could be made for North to be less aggressive over 4 D (perhaps bidding 4 H), but South would surely drive to slam with his maximal values.

Only slight care is necessary to win 12 tricks in spades. To avoid a club guess, declarer should plan to ruff two hearts in dummy before drawing the enemy trumps. Assuming a diamond lead, the best technique is to lead a heart to the king immediately. Assume East wins and returns a trump; play the S 8, which holds (else win in hand); heart to queen; heart ruff high; spade to the 10; heart ruff; diamond ruff high, and draw the last trump. Nonetheless, almost any sequence of plays will suffice as long as declarer doesn’t draw two rounds of trumps before leading a heart.

Board 14

Assuming East passes (a dubious assumption these days), West must decide whether to open one or four in third seat. I slightly prefer:

WestNorthEastSouthEast dealsS
… 100
+150 99
… 98
+100 97
… 96
+50 92
… 88
-170 87
… 86
-200 85
… 84
-300 83
… 82
-420 60
-430 35
… 34
-450 20
-460 7
… 6
-480 5
-490 4
-500 3
… 2
-800 1
… 0
PassPassNone vulH A J 10 9
4 SPassPassPassD Q 9 8 5 4 2
 C Q 10 2
 S K J 10 9 8 7 6TableS Q 4 3 2
 H 5 3H Q 8 7
 D K 3D A J 10
 C A JC K 9 7
 S A 5
 H K 6 4 2
 D 7 6
 4 S WestC 8 6 5 4 3

This is the pressure bid. While it may be an unnecessary overbid (down one or two when North-South can make nothing) this would not be a terrible result — below average, yes, but not a zero. The upside is that it often stirs indiscreet action, resulting in a top. If North-South were to bid over 4 S, I would double with the West hand to indicate an overstrength preempt; this comes with no guarantees, of course, but at matchpoints you have to take your shots. It is all irrelevant this time, as almost all roads lead to 4 S.

In spades, there are 10 cold tricks. Assuming a diamond lead, declarer should try for an overtrick by cashing a second diamond and crossing to dummy with a club. Alas, South ruffs the third diamond, so it’s back to 10 tricks. At least South wasn’t able to ruff the second diamond. The only way to win more might be if North led a club, or if declarer played spades first and South failed to shift to hearts.

Some will reach 4 S from the East side (e.g., a weak notrump opening and a transfer), but this offers no advantage in the play.

Board 15

With the weak two-bid on Board 11 and now this, Howard Schenken would be very pleased. Two textbook bids. What is the world coming to? Here is a sensible auction:

WestNorthEastSouthSouth dealsS 9 8 2
… 100
+800 98
… 96
+650 94
… 93
+620 92
+600 90
… 89
+500 88
… 87
+300 86
… 85
+200 84
… 83
+170 82
… 80
+150 79
+140 74
… 70
+110 69
+100 66
… 64
+50 62
… 61
-100 47
-110 33
… 32
-130 31
… 30
-200 21
… 12
-300 8
… 6
-400 5
… 4
-500 3
… 2
-800 1
… 0
2 SN-S vulH A Q J 5 2
3 C3 SPassPassD A 8
PassC J 6 4
 S K 7TableS 6 5
 H 8H K 10 9 7 4 3
 D K J 5 3D Q 10 9 2
 C A Q 9 7 5 3C 2
 S A Q J 10 4 3
 H 6
 D 7 6 4
 3 S SouthC K 10 8

East does well to resist the temptation to bid 4 H, which North would surely double (down two with best play all around). Sigh. At the table I don’t think I could resist it, but I could always blame the result on Grant Baze for his “six-four, bid one more” tip. Maybe I should ask him to amend it to “six-four, feeling sore.”

In spades, most lines of play result in nine tricks. Assume West leads his singleton heart, won by the ace; then the S 2 (it is better to save the 9-8) is led to the queen, king; diamond shift (best) won by the ace; then the S 9. When trumps split 2-2 the rest is easy. Note that if trumps were 3-1, the careful spade plays would allow declarer to take the ruffing heart finesse and return to dummy in spades. (This would not be possible if the S 9 were led at trick two.)

This deal actually belongs to East-West who can make 4 D, but I don’t see a realistic way to bid it.

Board 16

Aggressive North-South pairs will capitalize on the vulnerability here, perhaps with this sequence:

WestNorthEastSouthWest dealsS K 8 4
… 100
+200 99
… 98
+100 95
… 92
-100 91
… 90
-150 89
… 88
-170 87
… 86
-200 85
… 84
-300 83
… 82
-500 78
… 74
-620 71
… 69
-650 36
… 6
-680 5
… 4
-800 3
… 2
-850 1
… 0
1 H2 D2 H4 DE-W vulH 4
4 H5 DDblPassD A K J 8 6
PassPassC 8 7 4 2
 S A J 9 2TableS Q 7 6
 H K Q 8 6 5H A 10 9 2
 D 5D Q 3
 C A K 9C J 10 6 3
 S 10 5 3
 H J 7 3
 D 10 9 7 4 2
 5 D× NorthC Q 5

The jump raise to 4 D is weak (as if you couldn’t tell), and North takes the sacrifice since he has little defense against 4 H. Five diamonds is right on the money (down three, minus 500), an excellent result for North-South with East-West on for a vulnerable game.

Should East-West have pushed to 5 H? I think not. Perhaps East should pass the decision to West; but it is hardly obvious for West to bid 5 H, and I believe most experts would double. Note that 5 H would fail if the C Q were held by North (where it is more likely to be).

In hearts, there is little to the play. Only a diamond and a spade should be lost for 11 easy tricks. Yet, I am bewildered in looking over the past results to see that 92 pairs scored 620. Hard to believe.

The above makes me think of a nullo puzzle: What is the fewest number of tricks East-West could win in hearts if they deliberately tried to lose tricks? The answer is three. Sorry, I won’t explain it since the men in white coats could be nearby.

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 17

Playing 1 NT forcing (or more accurately, 6-12 range as a passed hand), South has an awkward rebid problem. A lot could be said for a conservative 2 S, but I would take the aggressive route:

WestNorthEastSouthNorth dealsS 6 5
… 100
+460 99
+450 97
… 96
+430 94
+420 81
+400 59
… 49
+170 47
… 46
+150 45
+140 43
… 40
-50 21
… 6
-100 5
… 4
-150 3
… 2
-500 1
… 0
PassPass1 SNone vulH K J 2
Pass1 NTPass2 NTD A K 3 2
Pass3 NTPassPassC 10 6 5 3
PassS K Q 10TableS 7 2
 H 8 7 4 3H 10 9 5
 D 10 7 6D J 9 8 5
 C 9 8 4C A K 7 2
 S A J 9 8 4 3
 H A Q 6
 D Q 4
 3 NT NorthC Q J

The raise to 2 NT is about right on values — hopefully the sixth spade will offset the lack of a point or two — and North has more than enough to accept. Indeed, North would bid again over 2 S, so all roads should lead to game, though some will get to 4 S.

It is debatable which game is superior. Without a club lead, 4 S is clearly better; you can take the fast pitch and score up 420. But a club lead beats 4 S outright, while 3 NT has its chances.

Can 3 NT be made against best defense? Not at double-dummy. East must lead a high club then a low one, with West unblocking the 9-8; then as soon as West wins a spade, the C 4 through the 10-6 defeats. If East makes any other lead (including a low club), declarer can succeed by ducking a spade; then, depending on what the defense does in clubs, declarer can either set up the spades or endplay East in diamonds to win a second club trick.

Board 18

Players will be all over the court on this one. Among the ruins, you might find this sequence a few times:

WestNorthEastSouthEast dealsS K 9 5 4
… 100
+870 99
… 98
+800 97
… 96
+750 95
… 94
+710 93
… 92
+600 91
… 90
+500 89
… 88
+300 87
… 86
+200 85
… 84
+150 83
+140 76
+130 67
… 58
+100 49
… 40
+50 33
… 25
-100 23
-110 19
… 16
-140 12
… 10
-170 9
… 8
-200 7
… 6
-420 5
… 4
-500 3
… 2
-800 1
… 0
3 C3 DN-S vulH A 10
3 S4 D4 S5 DD 7 4 3 2
DblPassPassPassC 10 7 2
 S A Q J 10 6TableS 8 3 2
 H K Q 4 3H 7 6
 D KD Q 6
 C K 9 5C Q J 8 6 4 3
 S 7
 H J 9 8 5 2
 D A J 10 9 8 5
 5 D× SouthC A

East’s preempt looks ugly but is typical for aggressive bidders at favorable vulnerability. South bids his diamonds, West bids his spades (forcing as most play), and both partners dutifully raise; though East might not even provide a trick. Is this beautiful, or what? South remembers the Grant Baze tip “six-five, come alive” and pushes to 5 D. Oops, not this time.

Five diamonds is routinely down one barring a defensive slip, such as West not splitting his heart honors. This gives East-West a great score since they couldn’t make 4 S, or any contract beyond 3 C for that matter.

In spades West gets ripped apart. The defense can take the first four tricks (D A; C A; H A; club ruff) and declarer still has to lose two trump tricks to North (or one trump trick and a heart to South). I guess you could call this a fitting result for the bidding.

In clubs East can win nine tricks (as he said, ha-ha) with almost any line of play since South’s singleton spade is no threat.

Board 19

Another excellent slam, provided East-West don’t get greedy. Here is a good standard sequence:

WestNorthEastSouthSouth dealsS 10 6 2
… 100
+200 99
… 98
+100 97
… 95
-170 94
… 93
-230 92
… 91
-600 90
-620 85
-630 78
-640 77
-650 75
-660 58
… 41
-680 32
-690 30
… 29
-720 28
… 27
-1370 16
… 5
-1430 4
-1440 3
… 2
-1470 1
… 0
PassE-W vulH 10 6 4
1 CPass1 HPassD Q J 10 7 2
3 CPass3 SPassC 7 3
4 HPass5 CPassS Q 4TableS A K J 3
5 DPass6 CAll PassH Q 9 5H K J 8 2
 D A 6D 5 3
 C A K J 10 9 6C Q 5 4
 S 9 8 7 5
 H A 7 3
 D K 9 8 4
 6 C WestC 8 2

East’s bidding indicates slam interest without diamond control, and West shows first-round control with 5 D. East has some fleeting thoughts about a grand slam but wisely settles on six since there must be a hole somewhere. Note that if West held the H A instead of the queen, his hand would be too strong for a 3 C rebid.

The main problem in the bidding is to avoid the matchpoint trap of trying 6 NT. Sometimes this gives the entrepreneur a top score, but here it costs big time. The obvious diamond lead gives declarer no chance.

Curiously, it is possible to do better than the club slam. Six hearts can be made, though it requires double-dummy play after a diamond lead. I’ll let you work it out.

Board 20

This should be a routine game for North-South. I would bid this way:

WestNorthEastSouthWest dealsS A K J 7
… 100
+800 99
+790 98
… 97
+650 96
… 95
+620 53
… 14
+500 13
… 12
+170 11
… 10
+100 9
… 8
-100 5
… 2
-200 1
… 0
Pass1 H2 C2 HBoth vulH A K Q 10 7 4
Pass2 SPass3 HD 5
Pass4 HPassPassC 7 4
PassS 8 6 4 2TableS Q 9 5
 H J 8H 5
 D A J 9 6 4D 8 3 2
 C 9 8C A K Q 10 6 3
 S 10 3
 H 9 6 3 2
 D K Q 10 7
 4 H NorthC J 5 2

The purpose of 2 S is to explore for slam, which is certainly possible if South held a sound raise with club control. For example, facing as little as: S Q-x-x-x H J-x-x D x-x-x C A-x-x, the slam in spades is excellent, and South might have even better hands. (Compare this logic with Board 12 where I felt a slam was too remote to warrant a probe that might be helpful to the defense.) In any event, North’s slam ambitions are quickly quelled when South returns to 3 H.

In hearts, declarer’s only objective is to steal an 11th trick in diamonds. With the ace offside this seems futile, but I can see a possible con job: Ruff the third club; draw trumps; cash the S A-K, and lead a diamond. West might think declarer’s shape is 2=6=3=2, in which case he must duck the diamond to avoid being endplayed. But it shouldn’t work. If East had a stiff diamond, he would have led it at Trick 3; and further, East would have bid differently with 5-6 in the black suits (Michaels cue-bid).

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 21

Standard bidders are likely to miss this excellent game, as the auction comes to a screeching halt:

WestNorthEastSouthNorth dealsS 7
… 100
+300 99
… 98
+150 97
… 96
+110 95
+100 94
… 93
+50 91
… 89
-100 88
-110 84
… 81
-140 78
… 74
-170 61
… 49
-200 38
… 28
-230 27
… 26
-420 18
… 9
-450 7
… 6
-480 5
… 4
-500 3
… 2
-800 1
… 0
Pass1 SPassN-S vulH K 9 4
PassPassD A J 10 8 5
 C 5 4 3 2
 S K 8TableS A Q J 10 6 3
 H 5 3 2H A J 10 7 6
 D 9 6 4 2D 3
 C J 8 7 6C A
 S 9 5 4 2
 H Q 8
 D K Q 7
 1 S EastC K Q 10 9

Should West keep the bidding open with four points? Granted, the S K is a nice card, but responding 1 NT is more likely to get you overboard. This is just an unfortunate case. If anyone should be faulted, I would pick East since he might have opened 2 C with his great playing potential.

In spades East will win anywhere from 8 to 11 tricks depending on the lead and play. At double-dummy, 11 tricks are available with any lead by finessing the S 8 to gain an extra entry to dummy to finesse hearts twice; or by leading the H J early from hand. Back to the real world: After a club lead, the most likely result is 10 tricks (losing two hearts). The killer is a diamond lead, which starts the tap. Declarer makes only eight tricks if he draws all the trumps after finessing hearts once; but he should win nine by clearing the hearts after discovering the 4-1 trump break. The scenario with a diamond lead at least justifies the bidding.

Board 22

Most North-South pairs should reach this reasonable game. Here is a sequence using 1 NT forcing:

WestNorthEastSouthEast dealsS 9 7 3
… 100
+430 99
+420 86
+400 71
… 69
+200 68
… 67
+170 65
… 62
+140 58
… 55
+120 54
… 53
-50 38
… 22
-100 12
… 4
-150 3
… 2
-200 1
… 0
Pass1 SE-W vulH J 8 6 5
Pass1 NTPass2 DD A Q J
Pass3 SPass4 SC K 8 7
PassPassPassS J 10 5TableS Q 4
 H Q 7 4H A 9 3
 D 7 4 2D K 9 8
 C J 9 3 2C Q 10 6 5 4
 S A K 8 6 2
 H K 10 2
 D 10 6 5 3
 4 S SouthC A

North’s delayed jump raise shows 11-12 points with three trumps (with four trumps North would raise directly), and South clearly has enough to bid game. A case could be made for North to eschew the raise with his flat shape and rebid 2 NT, but the tenuous stoppers offer little comfort.

In spades, declarer should win 9 or 10 tricks depending on the heart guess. At the table I would probably get this wrong based on the subtle inferences that West chose not to lead a heart and that East has shown up with most of the other high cards — unless East tries to be sneaky and shifts to a low heart, in which case I would play him for the ace, not the queen. An original heart lead would seem to eliminate the guess, but it creates another: To succeed, declarer must shun the diamond finesse to obtain a fast discard.

Those who play in notrump will not be happy with a club lead. The best declarer can do is to win eight tricks, and many will win less.

Board 23

Another sound game contract should be reached at most tables, perhaps after this sequence:

WestNorthEastSouthSouth dealsS A 8 4 2
… 100
+990 99
… 98
+800 97
+790 96
… 95
+680 94
… 93
+650 87
… 76
+620 54
… 33
+500 32
+400 31
… 30
+300 29
… 28
+200 27
… 26
+170 21
… 17
+140 16
… 15
+100 14
… 13
-100 8
… 4
-200 3
… 2
-300 1
… 0
1 SBoth vulH 8 2
2 C2 S3 C3 HD K Q 9 8
Pass4 SPassPassC 9 3 2
PassS 9 5 3TableS 10
 H 5 3H K J 10 6
 D A 6 3D J 10 4 2
 C A K Q 10 7C 8 6 5 4
 S K Q J 7 6
 H A Q 9 7 4
 D 7 5
 4 S SouthC J

South’s 3 H bid is a game try (long-suit or help-suit), not an attempt to locate another trump fit. (Note that if South instead bid 3 S, it would be strictly competitive, denying game interest.) North is happy to accept with his tiptop maximum.

In spades, proper play brings home 11 tricks. After ruffing the second club, the best technique is to lead a diamond (assume West ducks) to the king and take the heart finesse; then continue hearts. When West shows out on the third round, it’s a picnic — just continue the crossruff; or if West ruffs in front of dummy, overruff, draw two rounds of trumps and establish the hearts. Even if West held 10-9-x in trumps, he could not stop you from winning 11 tricks.

It is apparent from the vast number of 620 results that many declarers were too anxious to draw trumps — a common error. One of the tips I give my students is “When in doubt, work on your side suit.”

Board 24

OK, forget everything I said about classic weak two-bids. I could never pass the North hand, so my bidding might go:

WestNorthEastSouthWest dealsS
… 100
+800 99
… 98
+500 97
… 95
+300 93
… 92
+170 91
… 90
+150 89
+140 88
… 87
+110 86
+100 84
… 83
+50 82
… 81
-50 72
… 61
-100 44
-110 27
-120 25
-130 24
… 23
-150 17
… 14
-180 13
… 12
-200 11
… 10
-300 9
… 8
-400 7
… 6
-430 5
… 4
-500 3
… 2
-800 1
… 0
Pass2 HPass2 NTNone vulH K J 10 9 6 4
Pass3 HPassPassD 8 5 4
PassC 8 5 4 3
 S A 6 3TableS Q J 10 2
 H 3 2H Q 8 7
 D K 10 9 3D J 7
 C Q 9 6 2C A K 10 7
 S K 9 8 7 5 4
 H A 5
 D A Q 6 2
 3 H NorthC J

South’s 2 NT is a game try (forcing) — obviously, he is not in on the joke — and North indicates a minimum by rebidding 3 H. Unfortunately, this is already too high.

In hearts North should be held to seven tricks. After a high club lead, it is obvious to shift to trumps, and declarer can win only six trump tricks and the D A — unless West errs by hopping with his ace on a low spade lead. If East fails to shift to trumps, declarer can win eight tricks by ruffing two clubs. Note the folly of East thinking he should not lead trumps because of his H Q, as many players would believe. Sound advice: When a trump shift is obvious, do it; don’t worry about your trump holding.

There is some good news for North-South. If they were less active in the bidding, East-West would probably buy the contract in notrump, where nine tricks can be made against any defense. Hence, a small minus score is not bad; indeed, escaping for minus 50 scores 72 percent.

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 25

There are some players who would open the North hand 3 S (obviously, their cages were left unlocked), but the mainstream bidding will be:

WestNorthEastSouthNorth dealsS J 8 7 5 4 2
… 100
+1100 99
… 98
+800 97
… 96
+500 95
… 94
+420 93
… 92
+300 91
… 90
+200 89
… 88
+180 87
+170 86
… 85
+150 84
+140 78
… 71
+120 69
+110 68
+100 67
… 66
-50 50
… 33
-90 32
-100 21
-110 11
… 10
-150 9
… 8
-200 7
… 6
-300 5
… 4
-500 3
… 2
-670 1
… 0
PassPass2 NTE-W vulH 8 3
Pass3 HPass3 SD 10 6
PassPassPassC 8 5 4
 S ATableS Q 6 3
 H K 4H J 10 6 5 2
 D Q J 9 4 3D 5 2
 C K J 7 3 2C Q 10 9
 S K 10 9
 H A Q 9 7
 D A K 8 7
 3 S SouthC A 6

North’s 3 H is a Jacoby transfer and South dutifully obliges. A case could be made for South to jump to 4 S based on his excellent fit and controls, but the conservative bid pays off here on the unfriendly layout.

In spades, nine tricks will usually be won. After the D Q lead, I think the proper technique is to continue diamonds, ruffing with the S 7, after which declarer is destined to lose two spades, a heart and club. It is possible to win 10 tricks by playing the H A and a low heart immediately, but if declarer is going to play double-dummy, the defense can, too: An original club lead always stops a 10th trick because South can be forced to ruff.

Ironically, those who do not play transfers have an edge here. If North is declarer, East is likely to lead a heart. Declarer then can win 10 tricks if he plays West for the H K (i.e., don’t finesse the queen) and establishes a second heart trick for a club discard. But don’t hold your breath.

Board 26

After a routine 1 NT opening, North faces the dilemma of how to search for a heart fit and be able to stop in 3 C. In most systems it can’t be done. I would bid this way using minor-suit transfers:

WestNorthEastSouthEast dealsS A
… 100
+800 99
… 97
+600 95
… 94
+500 93
+400 92
… 91
+300 90
… 89
+210 88
+200 87
… 86
+180 85
+170 84
… 83
+150 77
… 68
+130 66
+120 62
+110 57
+100 49
+90 42
+80 35
+70 33
… 32
-80 31
-90 30
-100 22
-110 14
-120 13
-130 12
-140 11
… 10
-200 7
… 4
-300 3
… 2
-500 1
… 0
Pass1 NTBoth vulH 5 4 3 2
Pass2 NTPass3 CD 9 2
PassPassPassC J 10 8 4 3 2
 S Q 9 7 4 2TableS K 8 6
 H Q J 10 8H 9 7 6
 D J 10 4D K Q 7 6
 C QC K 7 5
 S J 10 5 3
 H A K
 D A 8 5 3
 3 C SouthC A 9 6

Two notrump is a transfer to clubs — end of story. Note that if North were to bid 2 C Stayman followed by 3 C, this would be forcing (usually a slam try) so the only practical solution is to give up on hearts. The use of 2 NT as a transfer necessitates another agreement: To invite game in notrump you must bid 2 C (even with no major-suit interest) and follow with 2 NT.

In clubs, it plays like a dream for 11 tricks. Declarer can easily ruff two hearts in the South hand without affecting his ability to draw trumps. Only a club and a diamond need be lost.

Those who play in notrump will not be happy with a spade lead, which kills North’s entry. Declarer can win only six tricks with accurate defense, but he may be given a seventh trick in spades. With any other opening lead, declarer has nine easy tricks by establishing the clubs.

Board 27

If West opens 1 D, his next bid becomes awkward — either an overbid of 2 NT or a misdirected 3 D — so the practical solution is to treat the hand as balanced and open 1 NT. This might produce:

WestNorthEastSouthSouth dealsS K 8 6 5 4
… 100
+300 99
… 98
+150 97
… 96
+100 95
… 94
+50 89
… 85
-130 84
… 83
-150 82
… 81
-170 80
… 79
-400 78
-420 74
-430 58
… 45
-450 44
-460 23
… 4
-490 3
… 2
-920 1
… 0
PassNone vulH 7 6 4 3
1 NTPass2 HPassD A 8
2 SPass3 CPassC 5 2
3 NTPassPassPassS A 2TableS Q J 10 7 3
 H K 8H A Q 9
 D K J 10 7 3 2D 4
 C K Q 10C A J 6 3
 S 9
 H J 10 5 2
 D Q 9 6 5
 3 NT WestC 9 8 7 4

Two hearts is a Jacoby transfer, and 3 C shows a second suit (forcing to game). West has the wrong off-suit values (kings instead of aces) and no spade fit so he signs off in 3 NT. This seems well-judged, since no slam can be made, though it’s also a bit lucky; for example, if East’s red suits were switched, the bidding would be the same with 6 D a virtual laydown.

In notrump, 11 tricks can be won if declarer establishes two spade tricks and leads a diamond to the jack (in either order), but this is not a standout. If the play begins with a heart to the king; S A; spade to the queen; S J to the king and a heart return, it would be just as reasonable to lead a diamond to the king for only 10 tricks. Another possibility (though inferior) is to work only on diamonds, which nets just nine tricks if the defenders keep leading hearts.

Board 28

A strong notrump overcall should end the bidding at most tables:

WestNorthEastSouthWest dealsS Q J
… 100
+670 99
… 98
+200 97
… 96
+180 95
… 94
+150 93
+140 92
… 91
+110 90
+100 89
+90 87
+80 86
+70 85
+50 82
… 79
-80 78
-90 75
-100 70
-110 61
-120 45
-130 34
-140 33
-150 24
… 16
-180 15
… 14
-200 12
… 11
-300 10
… 9
-400 7
… 6
-470 5
… 4
-500 3
… 2
-800 1
… 0
Pass1 C1 NTPassN-S vulH 6 3
PassPassD A 10 8 2
 C A Q J 7 5
 S 8 7TableS A 9 6 5
 H Q J 10 2H A K
 D Q J 6 5 4D K 7 3
 C 10 2C K 9 6 3
 S K 10 4 3 2
 H 9 8 7 5 4
 D 9
 1 NT EastC 8 4

South would like to compete with his major two-suiter, but the dearth of high cards should be a warning at the vulnerability. Even if the partnership has a gadget to show both majors (I use a raise of opener’s minor, which is almost useless here as a natural bid), it seems prudent to pass.

In notrump, eight tricks should be won regardless of the lead. Assuming a spade lead (best), win the second round; unblock the hearts; lead the D K and a diamond to the jack. Eventually, declarer must score the C K as his eighth trick since South has no entry.

Careless play might produce less: Say, declarer wins the first spade trick (which looks OK with the spades blocked) and plays in the above manner. North wins the second diamond and returns a diamond. After declarer takes his hearts, the defense is able to win five more tricks (including South’s long heart), holding declarer to seven tricks.

A few North-Souths will wander into 2 S, where seven tricks can be won with careful play — a good result undoubled — but more likely West will push to 2 NT or 3 D (which also makes).

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 29

A routine Stayman sequence will put most North players in the obvious heart game:

WestNorthEastSouthNorth dealsS A J 7
… 100
+800 99
… 98
+650 94
… 89
+630 87
+620 64
+600 41
… 39
+200 38
… 37
+180 36
+170 35
… 34
+150 33
+140 31
… 30
+120 29
+110 28
+100 27
… 26
-100 16
… 5
-200 3
… 2
-300 1
… 0
1 NTPass2 CBoth vulH A K 6 3
Pass2 HPass4 HD A 9 3 2
PassPassPassC 10 6
 S Q 8 2TableS 9 6 5 4
 H 10 9 5 2H 7
 D Q J 7 4D K 10 6
 C 5 3C K Q J 8 7
 S K 10 3
 H Q J 8 4
 D 8 5
 4 H NorthC A 9 4 2

Those who play weak notrumps should reach the same contract from the other side after a 1 D opening. I suppose a few daring Easts might muddy the water with a club bid, but they should be taught a lesson in 2 C doubled where routine defense gets 800.

In hearts, 11 tricks can be won with perfect play, but 10 is more realistic. Assuming the C K lead, the best technique is to win the ace and duck a diamond; assume East cashes a club and shifts to the H 7; eight, nine, king; then a trump to the queen reveals the 4-1 break. Declarer now can win the rest by finessing West for the S Q, but this hints at hindsight. At the table I think I would give up on the finesse, i.e., cash two spades and crossruff to ensure 10 tricks, which nets a decent 64 percent.

Those with notrumpitis will find only nine tricks available (assuming a successful spade guess) for an inferior score.

Board 30

Well, it’s back to the slam theme. This one’s not so good, though I must admit I would be trapped into bidding it:

WestNorthEastSouthEast dealsS J 6 4
… 100
+200 99
… 98
+150 92
… 85
+100 71
… 56
+50 48
… 41
-130 40
… 39
-150 38
… 37
-400 35
-420 30
-430 21
… 14
-450 13
-460 9
… 3
-490 2
… 1
-1510 1
… 0
1 HPassNone vulH J 10
2 CPass2 NTPassD 6 5 3 2
3 SPass4 SPassC 9 8 6 2
6 NTPassPassPassS A K 3TableS Q 10 8 2
 H 9 7H A Q 5 4 3
 D A 10D K J 4
 C A K 7 5 4 3C 10
 S 9 7 5
 H K 8 6 2
 D Q 9 8 7
 6 NT EastC Q J

The 3 S bid may seem unusual, but it barked up the right tree — the only makable slam is in spades; in fact, 13 tricks can be won at double-dummy. Should West have stood his ground in spades? I don’t think so. It is easy to visualize a club ruff to help establish that suit; but the trouble is it comes in the long trump hand, which probably necessitates a 3-3 trump break, only a 36-percent chance.

In notrump, 11 tricks should be won. Declarer must take care to duck the first or second round of clubs, else he can be held to 10 tricks with a heart shift before the clubs are established. There is no way to win a 12th trick (famous last words); even an opening heart lead into the A-Q gives declarer no recourse outside of clubs, and that suit is going nowhere.

Board 31

The slams continue. Six clubs is a laydown for East-West and should be bid, perhaps with this sequence:

WestNorthEastSouthSouth dealsS Q 8 7 6 4
… 100
+300 99
… 98
+150 97
… 96
+100 95
… 94
+50 87
… 81
-140 80
… 79
-170 78
… 77
-190 76
-200 75
… 74
-400 73
-420 72
-430 70
-440 67
-450 62
-460 50
… 40
-490 35
… 30
-520 29
… 28
-920 25
… 21
-940 14
… 6
-990 3
… 0
PassN-S vulH 3
1 CPass1 HPassD Q 10 8 7 6
1 SPass3 CPassC 8 3
3 HPass3 NTPassS A 10 3 2TableS K
4 DPass6 CAll PassH K Q 7H A J 9 5
 D JD K 9 5 4
 C K J 5 4 2C A Q 10 9
 S J 9 5
 H 10 8 6 4 2
 D A 3 2
 6 C WestC 7 6

East’s jump to 3 C is forcing in my methods. (Those who play limit jump rebids would have to bid the fourth suit instead.) The key decision is West’s to continue beyond 3 NT; he should appreciate his five-card club suit and well-placed values. The choice to bid 4 D is moot, but it seems wise to show the diamond control (singleton or void) and leave the slam decision up to partner.

In clubs, there is little to the play. After the likely singleton heart lead, declarer can draw trumps and win all 13 tricks.

The daring souls will be thwarted here. Some will try 6 NT, which has 11 top tricks, although the only chance for a 12th is a favorable diamond lead. Another decent matchpoint contract is 6 H, which would deliver a top on a good day. Ouch, not this day.

Board 32

It is difficult to predict the bidding here as there will be many contrived auctions. Here’s one I can’t remember ever seeing before:

WestNorthEastSouthWest dealsS 10 4
… 100
+1100 99
… 97
+800 96
… 95
+500 92
… 90
+400 87
… 85
+300 84
… 83
+200 81
… 78
+170 77
… 76
+150 75
+140 74
+130 71
+120 70
+110 66
+100 61
+90 59
+80 58
… 57
-50 47
… 36
-100 26
-110 18
… 17
-140 16
-150 12
… 10
-200 8
… 6
-300 5
… 4
-500 3
… 2
-800 1
… 0
1 DPassPassDblE-W vulH 2
PassPassRdblPassD J 10 7 5 3 2
1 HPassPassDblC 10 7 6 3
Pass2 CPass3 NTS A Q J 6TableS 9 7 5 2
All PassH Q 8 7 3H K 5 4
 D K Q 8 6D 9 4
 C 5C J 9 8 2
 S K 8 3
 H A J 10 9 6
 D A
 3 NT SouthC A K Q 4

East’s redouble is S-O-S, a wise choice to run from 1 D doubled. West’s decision to select hearts (over spades) is unlucky and no improvement, but as North I would not sit for 1 H doubled; after the runout to 2 C, South quite reasonably jumps to game.

South should fail in 3 NT, even with a favorable heart lead to the king and ace. After establishing hearts, declarer has eight tricks but no more with sound defense: At some point, West must play declarer for a blank D A since he could always succeed with D A-x by an endplay.

East-West can make nothing. Even in their best fit in spades, they can win only six tricks — the defense can take the first seven aided by a crossruff. Those who get stuck in diamonds or hearts may do even worse.

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

Board 33

Joe: “What was the contract?” Sam: “One club!” Joe: “Really? How did the bidding go?” Sure enough, standard bidders may witness:

WestNorthEastSouthNorth dealsS A Q 3 2
… 100
+800 99
… 98
+500 97
… 96
+420 95
… 94
+200 93
… 92
+170 91
… 90
+150 89
+140 88
… 86
+120 85
+110 84
+100 79
… 77
+80 76
+70 74
+50 73
… 72
-50 63
… 54
-90 53
-100 39
-110 25
… 24
-150 18
… 12
-180 11
… 10
-200 9
… 7
-300 5
… 4
-500 3
… 2
-800 1
… 0
1 CPassPassNone vulH A Q J 4
PassD K
 C A Q 7 5
 S 10 9 6TableS K J
 H 8H K 9 5 2
 D A Q 7 5 4 2D 10 9
 C 6 4 2C K J 10 9 8
 S 8 7 5 4
 H 10 7 6 3
 D J 8 6 3
 1 C NorthC 3

In clubs North will be an unhappy camper (what a surprise). After the likely diamond lead and heart shift, the best declarer can do is win five tricks; but that may be double-dummy, so I’d expect only four.

Can the bidding be faulted? Yes. I think North should open 2 NT (or 2 C if systemic to show 22 HCP). A singleton king is often useless at a suit bid but has great positional value at notrump. Which would you rather have in the suit led at notrump: two small, or a stiff king? Of course. The king is better, yet almost everyone bids notrump with a worthless doubleton.

If North does open 2 NT, it seems right for South to take a chance with Stayman, then pass 3 H (if opener had no major I would also pass 3 D). At least this gets you to a realistic contract.

In hearts, nine tricks can be won, but it requires mirrors; more likely, after a diamond lead and trump shift (best), declarer will wind up with seven or eight. In spades, similarly, the maximum is nine but more likely eight. Alas, the North-South cards seem destined for a minus score.

Board 34

Holding both majors and prime values, it would be reasonable for North to open 2 C, but most will settle for 1 H. Here’s a well-judged auction:

WestNorthEastSouthEast dealsS A K Q 7
… 100
+1100 99
… 98
+800 97
+790 96
… 95
+650 94
… 93
+630 92
+620 83
+600 71
… 70
+500 69
… 68
+300 67
… 66
+200 65
… 64
+180 63
+170 58
… 50
+150 49
+140 41
… 33
+110 32
+100 31
… 30
-100 20
… 10
-200 6
… 2
-300 1
… 0
PassPassN-S vulH A K 9 6 3
Pass1 H2 CPassD A 2
PassDblPass2 HC 10 3
Pass2 SPass4 HS J 8 4TableS 10 5 3 2
All PassH J 10 7H 8 5
 D K J 9 4 3D 6
 C Q 6C A K J 7 5 2
 S 9 6
 H Q 4 2
 D Q 10 8 7 5
 4 H NorthC 9 8 4

North reopens with a takeout double and South corrects to 2 H, which promises nothing. Hence, when North tries again with 2 S, South should jump to game — surely, he could have a lot worse.

Some Easts will open 3 C (atypical with C A-K at the vulnerability, and further flawed by the four-card major) making it tougher to reach 4 H.

In hearts, it looks like 10 easy tricks with a spade ruff, but declarer is put to the test with three rounds of clubs as West pitches a spade. The proper technique is to draw two rounds of trumps before ruffing a spade, then West will be endplayed when he overruffs. Even if East were short in spades and ruffed in front of dummy, declarer would succeed if he held the D J. Note that East’s initial pass (or preempt) marks West with the D K, so there is no real guess involved.

Board 35

It’s only fair to finish our weak two-bid coverage with another egregious example (I demand equal time). I admit I would open 2 D in first or second seat also, but in third seat it seems routine:

WestNorthEastSouthSouth dealsS A 10
… 100
+500 99
… 97
+400 95
… 94
+300 93
… 90
+200 88
… 85
+110 83
+100 80
+90 76
… 75
-50 74
… 71
-100 69
-110 68
-120 65
-130 62
-140 58
-150 55
… 53
-170 47
-180 41
… 40
-200 39
… 38
-300 36
… 33
-500 32
… 31
-600 30
-620 18
-630 6
… 5
-650 4
-660 3
… 2
-800 1
… 0
PassE-W vulH K 6 2
Pass2 DDbl3 DD Q 9 8 6 3 2
PassPassDblPassC 9 2
3 SPassPassPassS J 8 5 4 3TableS K Q 7
 H 8 5 3H A Q 10
 D JD K 4
 C J 10 8 4C A Q 7 6 5
 S 9 6 2
 H J 9 7 4
 D A 10 7 5
 3 S WestC K 3

East uses good judgment to double twice (both takeout), ending in a sound contract. No doubt, some will bid notrump; but the East hand has too many holes to prefer this with only one diamond stopper.

In spades, 10 tricks will usually be won. Only an original low heart lead by North will hold it to nine tricks, as the defense can develop a heart trick before the clubs can be used. If East is declarer (plausible after a transfer sequence), 10 tricks can always be made, but it takes double-dummy play after a heart lead (clubs must be established before leading trumps).

Those who play in notrump get their just deserts. After a diamond lead, the best declarer can do is dislodge the S A and wind up with seven tricks. Curiously, a non-diamond lead would be even more devastating if North tables the D Q after winning his spade trick. Ouch.

Board 36

North has another borderline 2 C opening (compare Board 34). I have no strong feelings but suspect most will start with one:

WestNorthEastSouthWest dealsS A Q 10 3 2
… 100
+1440 99
+1430 98
… 97
+1370 93
… 90
+800 89
+790 88
… 87
+720 86
… 85
+690 81
… 72
+660 54
+650 36
… 35
+630 30
+620 19
+600 15
… 14
+170 13
… 12
+150 11
… 10
-100 7
… 4
-200 3
… 2
-500 1
… 0
Pass1 SPass1 NTBoth vulH A 9
Pass3 DPass3 NTD A K J 2
PassPassPassC K 3
 S K 9 8 5 4TableS 7 6
 H J 2H Q 7 6 5 4 3
 D 9 6D 10 8 4
 C A 9 6 2C 10 8
 S J
 H K 10 8
 D Q 7 5 3
 3 NT SouthC Q J 7 5 4

After the jump shift, South has a problem whether to raise diamonds or bid his values which suggest notrump. I would choose the latter since slam seems unlikely unless North has a freakish hand, in which case he will bid again over 3 NT. This time, however, the well-fitting North hand makes 6 D a fair contract but no more than that. With all the things that might go wrong it’s probably less than even money.

In notrump, 11 tricks should be won. Declarer has seven top tricks and with proper timing can establish four more in the black suits. The zugzwang in hearts prevents the defense from attacking that suit successfully. In fact, after a heart opening lead (from either side) 12 tricks can be made, though it takes double-dummy play — an exercise left for the reader.

In diamonds, 12 tricks are available. South’s long club can be established with a ruff, plus declarer needs the spade finesse (or a favorable heart lead, or in some variations a well-timed heart ruff or two spade ruffs).

Statistical Analyses

The average high-card points and freakness for these 36 deals (and all 504 deals since 1987) are shown below. Freakness is a measurement I invented to rank the 39 possible hand patterns on a 0-to-20 scale. A hand with 4-3-3-3 shape has a freakness of zero. My formula adds one point for each card over four or under three in each suit, plus one extra point if the hand contains a singleton (or two extra points if the hand contains a void). The theoretical average freakness of a bridge hand is 2.98.

StatisticNorthSouthWestEastDeal
Average HCP (36)10.039.6410.1110.2240.00
Avg Freakness (36)3.253.003.002.7211.97
Average HCP (504)9.889.899.9710.2740.00
Avg Freakness (504)2.963.163.062.8612.03

The table shows that for these 36 deals East had the most high cards, while South had the fewest. The North hands were wilder than usual; the East hands were tamer than usual; the South and West hands were almost as expected.

The last two rows show the averages for the 14 years of this event. Generally, the more random deals you examine, the closer the stats will be to probability theory. East’s bulging HCP average is curious, but keep in mind that 504 is still a small sample.

Let’s quell some rumors. In events like this I have heard people say, “The cards always run North-South.” Not true. As shown above, it is East-West who held the majority of high cards, though not by much.

I have also heard the line, “I hate computer hands because they’re so wild.” Well, let’s see: South and West are slightly above the norm; North and East are slightly below the norm. The average deal freakness of 12.03 is slightly above the theoretical average of 11.93, but certainly close enough to be no cause for alarm.

Analyses 7T65 MainTop ACBL Instant Matchpoint Pairs

© 2000 Richard Pavlicek