Main   Simulation 8Z23 by Richard Pavlicek  

Notrump or Five Diamonds?

An occasional bidding problem occurs when partner opens 2 NT and you hold a weak hand with a long minor suit. Few systems allow any means to stop in a minor-suit partscore — and rightfully so — so the inevitable choices are to pass, raise to 3 NT, or bid game in your minor. None of these is appealing, so it’s more like choosing the least of evils.

Marion Gebhardt of Richardson, Texas, asked how to bid the following hand after partner opens 2 NT (20-21 HCP):

Table
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2

West
North
2 NT
East
Pass
South
?

Should South pass, raise to 3 NT, or bid 5 D?

On a good day partner will have D A-K-x, and 3 NT will make in a breeze (unless you’re off five tricks first); and 3 NT will usually have chances opposite any three diamonds. But if partner’s doubleton is diamonds, it could be a dismal ride, as even 2 NT will usually fail. For this reason many players would exclude passing, figuring that if you’re going to play notrump, you might as well get the game bonus when it’s right.

Vulnerability and form of scoring are also significant. Rather than stipulate which, the simulation I am about to run will provide data for all cases.

To compare options I created 10,000 random deals with the South hand fixed. North 20-21 HCP, balanced, which may include a 5-card major if the doubleton is at least J-x. Further, to eliminate deals likely to breed interference, East playing tricks less than 7 or freakness less than 6; i.e., East would require 7+ playing tricks and extreme shape to interfere. Likewise for West.

Results may be surprising, particularly that raising to 3 NT is the worst choice — at any form of scoring and any vulnerability. The truth is that undertricks matter, so it doesn’t pay to try for the gold ring when the success rate is so low. Passing is the winning choice at matchpoints, but at IMPS (or total points) the edge clearly goes to 5 D.

In practice I think the IMP advantage of 5 D would be less, because opener needs an exceptional hand to succeed, and with some of those hands he would continue to 6 D. Certainly, a typical 5 D bid would be at least a king better than the actual hand. If you contend that opener is forced to pass 5 D, you will lose some nice slams in other cases.

Results for 10,000 Deals
ContractTrick AvgMake PctMatchpointsNonvul TPsNonvul IMPsVul TPsVul IMPs
2 NT7.20838.6626258 65.651231710 44.6938633 52.911879860 41.3951544 51.36
3 NT7.20819.2510553 26.381073040 38.9325234 34.561801740 39.6736057 35.93
5 D9.81721.5023189 57.971829810 66.3845652 62.533131860 68.9562937 62.71

Trick Avg shows the average number of tricks won by declarer. Make Pct shows the percent of time the contract is made. Matchpoints shows the raw total (European style: 2 for a win, 1 for a tie) and effective scoring percent. Total Points and IMPs are shown similarly as raw totals and percents, with separate accountings for N-S nonvulnerable and N-S vulnerable. (Vulnerability does not affect matchpoints.)

Below are 100 of the 10,000 deals, including the first 10 and last 10, and selected deals in-between where the choice of contract made a significant difference. The number of tricks won for each contract assumes double-dummy play by both sides. Note that North declares 2 NT or 3 NT, and South declares 5 D.


Seed B7A9D2F3 10000

1.S A K 7 2
H K 8 3
D A 7
C A Q 9 4
S J 10 8
H J 10 7 6 4 2
D 8 2
C J 10
TableS Q 9 6 5
H A Q 9
D K J 3
C K 7 5
2 NT 7
3 NT 7
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


2.S Q J
H A K 10 8
D A J 2
C A Q 10 4
S A K 9 5 2
H 6 4
D K 8 3
C K 9 5
TableS 10 8 7 6
H Q J 9 7 3 2
D 7
C J 7
2 NT 7
3 NT 7
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


3.S Q 9 8 6
H Q J
D A K J
C A K 10 5
S J 10 2
H K 10 7 6 3
D 7
C Q J 7 4
TableS A K 7 5
H A 9 8 4 2
D 8 3 2
C 9
2 NT 5
3 NT 5
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


4.S A K 10 7
H Q 4 3
D A K J
C K 9 7
S 9 6 5
H K J 10 8 7
D 7
C Q J 10 4
TableS Q J 8 2
H A 9 6 2
D 8 3 2
C A 5
2 NT 6
3 NT 6
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


5.S A Q J 2
H A 10 6
D A K
C K 7 5 4
S 10 9 8 6
H K J 8
D J 7 2
C A J 9
TableS K 7 5
H Q 9 7 4 3 2
D 8 3
C Q 10
2 NT 5
3 NT 5
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


6.S A Q 9
H A Q 8 6
D A K J 3
C 10 5
S K 10 2
H 10 4 3 2
D 8 7 2
C K Q J
TableS J 8 7 6 5
H K J 9 7
D
C A 9 7 4
2 NT 9
3 NT 9
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


7.S A Q 10
H A J 9 6
D A 7
C A Q 9 7
S 9 5 2
H 10 7 4 3
D K 8 2
C K J 10
TableS K J 8 7 6
H K Q 8 2
D J 3
C 5 4
2 NT 7
3 NT 7
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


8.S A J
H Q 9 3
D A K J 7 3
C K Q 9
S Q 8 7 6 5
H A K 10 7
D 2
C J 5 4
TableS K 10 9 2
H J 8 6 4 2
D 8
C A 10 7
2 NT 7
3 NT 7
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9.S A K J
H A J 9 7
D A 8 2
C A 5 4
S 10 9 7 6 5
H K 10 6 4 3
D J
C K 7
TableS Q 8 2
H Q 8 2
D K 7 3
C Q J 10 9
2 NT 8
3 NT 8
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


10.S A Q
H A Q 9 8 4
D A K 7
C Q 5 4
S J 10 9 8 2
H K 6 3
D J 8 3
C A K
TableS K 7 6 5
H J 10 7 2
D 2
C J 10 9 7
2 NT 9
3 NT 9
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


TopMain


13.S A K J 8
H 8 4 2
D A K J 2
C A 5
S 5 2
H K Q 10 9 7
D 7
C Q J 10 7 4
TableS Q 10 9 7 6
H A J 6 3
D 8 3
C K 9
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


19.S Q J 9
H A K 9
D A 8 3
C A K 7 5
S 10 6 5 2
H Q 8 6 4 2
D K 7 2
C Q
TableS A K 8 7
H J 10 7 3
D J
C J 10 9 4
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


21.S 10 7
H A K 6
D A J 7 3
C A K Q 7
S K Q J 2
H J 10 9 4 2
D K 2
C 9 5
TableS A 9 8 6 5
H Q 8 7 3
D 8
C J 10 4
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


26.S A Q 9 7
H A 9 3
D A 8 3
C A K 5
S K J 6 5
H K 7 6 2
D J 2
C J 10 7
TableS 10 8 2
H Q J 10 8 4
D K 7
C Q 9 4
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


29.S K Q J 5
H A 10 7
D K J
C A Q 10 5
S A 9 2
H K 6 4 3 2
D 8 2
C K J 4
TableS 10 8 7 6
H Q J 9 8
D A 7 3
C 9 7
2 NT 6
3 NT 6
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


31.S K 9 8
H A Q 7 2
D A K 2
C A 10 5
S Q J 7 6
H 10 4
D J 3
C Q J 9 7 4
TableS A 10 5 2
H K J 9 8 6 3
D 8 7
C K
2 NT 9
3 NT 9
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


32.S Q J 10 6 5
H A K 10
D K 3
C A K 5
S K 9 8
H Q J 6 4 3 2
D 2
C J 10 4
TableS A 7 2
H 9 8 7
D A J 8 7
C Q 9 7
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


35.S A Q 10 2
H K 10
D A K 3
C A 10 9 4
S K 9 8 7 6
H 9 8 6 4 3
D 7 2
C 5
TableS J 5
H A Q J 7 2
D J 8
C K Q J 7
2 NT 10
3 NT 10
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


38.S A 7 2
H K 7 2
D A K 8 3
C A K 10
S Q 10 9 5
H J 10 8 6 3
D 7
C J 9 7
TableS K J 8 6
H A Q 9 4
D J 2
C Q 5 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


39.S A J 10
H A K 9 3
D A 3
C A J 10 9
S 9 7 6 5 2
H Q 10 2
D 8 7
C Q 7 5
TableS K Q 8
H J 8 7 6 4
D K J 2
C K 4
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


TopMain


46.S K J 5
H A K J 6 4
D A K 2
C Q 9
S 10 8 2
H 10 3 2
D J 8 3
C A J 7 5
TableS A Q 9 7 6
H Q 9 8 7
D 7
C K 10 4
2 NT 4
3 NT 4
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


50.S K Q 2
H Q J 9
D A K 7 3
C A J 5
S A 10 9 8 7
H K 4 3 2
D 8
C K 9 4
TableS J 6 5
H A 10 8 7 6
D J 2
C Q 10 7
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


51.S J 10 5
H A K J 9
D A 7 2
C A K 9
S Q 8 7
H Q 8 4 2
D K 8 3
C Q 7 5
TableS A K 9 6 2
H 10 7 6 3
D J
C J 10 4
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


55.S A 10 8 7
H A 9 3
D A K J
C A 10 5
S K J 6
H K 7 6 4 2
D 7 2
C K 7 4
TableS Q 9 5 2
H Q J 10 8
D 8 3
C Q J 9
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


56.S A 9 5
H A 9 3
D A K J 7
C A 7 5
S K J 10 8
H J 10 7 6 2
D 2
C K J 10
TableS Q 7 6 2
H K Q 8 4
D 8 3
C Q 9 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


57.S Q 7 5
H A Q 10
D A J
C A K J 9 5
S 10 8
H 9 8 7 6 4 2
D K 7 3
C Q 4
TableS A K J 9 6 2
H K J 3
D 8 2
C 10 7
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


58.S A K Q 2
H K 7 2
D A J
C K J 10 5
S J 9 7 6 5
H A Q 8
D K 8
C A Q 9
TableS 10 8
H J 10 9 6 4 3
D 7 3 2
C 7 4
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


59.S K 6 2
H A K Q 7
D A J 2
C K 5 4
S Q 10 8 5
H 8 6 4 3 2
D K
C J 9 7
TableS A J 9 7
H J 10 9
D 8 7 3
C A Q 10
2 NT 10
3 NT 10
5 D 8
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


64.S K 7 2
H A K 3
D K J 2
C A Q 9 7
S A 9 5
H Q 10 9 8 7 2
D A 7
C K J
TableS Q J 10 8 6
H J 6 4
D 8 3
C 10 5 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


65.S A K 5
H A K Q 10
D A J 7
C 10 5 4
S J 9 8 6
H J 8 7 6
D 3
C A K Q 7
TableS Q 10 7 2
H 9 4 3 2
D K 8 2
C J 9
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


TopMain


69.S A Q
H A J 10 7
D K 8 2
C A K 10 9
S 9 7 5 2
H 9 6 4 3
D J
C Q 7 5 4
TableS K J 10 8 6
H K Q 8 2
D A 7 3
C J
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


70.S J 10 5
H A K Q 4
D A K 3
C A 7 5
S A K
H J 9 8 6 2
D J 7 2
C Q J 9
TableS Q 9 8 7 6 2
H 10 7 3
D 8
C K 10 4
2 NT 10
3 NT 10
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


72.S K J 9
H A K 9 3
D A 7 3
C K Q 7
S Q 7 5 2
H 8 4 2
D J 8 2
C J 10 4
TableS A 10 8 6
H Q J 10 7 6
D K
C A 9 5
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


73.S A K 10 9 6
H K Q 6
D A K 7
C J 9
S J 7 2
H A J 10 8 7 3
D J
C A K Q
TableS Q 8 5
H 9 4 2
D 8 3 2
C 10 7 5 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


82.S Q 9 5
H A K J 7 6
D A K 3
C A 7
S J 8 2
H 10 4 2
D J 7
C J 10 9 5 4
TableS A K 10 7 6
H Q 9 8 3
D 8 2
C K Q
2 NT 10
3 NT 10
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


87.S A K J
H J 9
D A 3 2
C A K 10 9 7
S Q 8 7 5 2
H K 3 2
D K J 8
C Q 4
TableS 10 9 6
H A Q 10 8 7 6 4
D 7
C J 5
2 NT 6
3 NT 6
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


93.S K 9 5
H A K Q 4
D A K 7 3
C Q 4
S Q 8 2
H J 9 8 6 3
D 8
C A 10 9 5
TableS A J 10 7 6
H 10 7 2
D J 2
C K J 7
2 NT 4
3 NT 4
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


97.S A Q 9 6
H K 3
D A J 7 3
C A K 10
S K J 8 7 5
H A 9 8 7 6
D K 8
C 4
TableS 10 2
H Q J 10 4 2
D 2
C Q J 9 7 5
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


99.S A K Q 9 7
H Q 8 6
D K 3
C A K 10
S J 10 8
H A K 10 3
D A 7 2
C J 7 5
TableS 6 5 2
H J 9 7 4 2
D J 8
C Q 9 4
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


100.S A K J 7
H J 4 2
D A K 7
C K Q 5
S Q 9 8 5
H Q 10 7
D 8 2
C A 9 7 4
TableS 10 6 2
H A K 9 8 6 3
D J 3
C J 10
2 NT 6
3 NT 6
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


TopMain


104.S A 2
H A J 10 6
D A K J 3
C A 10 4
S K 10 9 6
H 9 7 4
D 2
C K Q J 7 5
TableS Q J 8 7 5
H K Q 8 3 2
D 8 7
C 9
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


105.S A Q J 10 8
H J 10 9
D A K 8
C A Q
S K 9 7 6
H K 7 6
D 3
C K J 9 7 4
TableS 5 2
H A Q 8 4 3 2
D J 7 2
C 10 5
2 NT 7
3 NT 7
5 D 12
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


110.S Q 9 6 5
H A K Q
D A K 2
C Q 10 9
S K J 10 8 2
H 9 8 6 3 2
D 3
C A 4
TableS A 7
H J 10 7 4
D J 8 7
C K J 7 5
2 NT 8
3 NT 8
5 D 8
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


119.S A 5 2
H A K 7 3
D K J
C A Q 10 9
S J 9 6
H Q 6 4
D A 7 2
C K 7 5 4
TableS K Q 10 8 7
H J 10 9 8 2
D 8 3
C J
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


120.S Q 9
H A J 8
D A J 3 2
C A K Q 4
S A K 10 7
H 7 6 4 2
D 7
C 10 9 7 5
TableS J 8 6 5 2
H K Q 10 9 3
D K 8
C J
2 NT 5
3 NT 5
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


125.S A Q 9 5 2
H Q 10
D A J 7
C A K J
S K 10 8
H 8 7 6 2
D K
C 10 9 7 5 4
TableS J 7 6
H A K J 9 4 3
D 8 3 2
C Q
2 NT 7
3 NT 7
5 D 12
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


126.S A 6 5 2
H A K J
D A 8 3
C A J 5
S Q J 7
H Q 8 4 2
D K 7
C Q 10 7 4
TableS K 10 9 8
H 10 9 7 6 3
D J 2
C K 9
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


132.S K J
H A Q 8 2
D A K 7 2
C K 5 4
S A 7 2
H J 10 9 7 6
D J
C Q J 10 9
TableS Q 10 9 8 6 5
H K 4 3
D 8 3
C A 7
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


133.S A 7 2
H A K Q 10 8
D A 8 2
C A 5
S J 9 6
H J 7 6 3
D K J 3
C 10 7 4
TableS K Q 10 8 5
H 9 4 2
D 7
C K Q J 9
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


134.S 10 9 5 2
H A K 6
D A K 3
C A Q J
S K Q 8 6
H J 10 9 8 7 4
D 8 2
C 10
TableS A J 7
H Q 3 2
D J 7
C K 9 7 5 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


TopMain


135.S Q 8 5 2
H A K Q 4
D A K 3
C K 5
S K 10 9 7
H 8 3
D J 8 2
C A J 10 7
TableS A J 6
H J 10 9 7 6 2
D 7
C Q 9 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


141.S J 10 8
H A K 9 4
D A K
C A Q 7 5
S A Q 9 5 2
H 8 2
D J 7 3
C K J 4
TableS K 7 6
H Q J 10 7 6 3
D 8 2
C 10 9
2 NT 5
3 NT 5
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


142.S J 8 5
H K Q 4
D A K J
C K Q J 9
S A K 9 7
H 10 9 8
D 7
C A 10 7 5 4
TableS Q 10 6 2
H A J 7 6 3 2
D 8 3 2
C
2 NT 7
3 NT 7
5 D 6
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


149.S A Q 2
H K 10 2
D A J 8
C A Q 9 5
S 10 5
H 9 8 7 6 4 3
D 7 2
C K J 4
TableS K J 9 8 7 6
H A Q J
D K 3
C 10 7
2 NT 9
3 NT 9
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


154.S A Q J 8
H J 3 2
D A K 7
C A J 9
S 10 6 2
H A K 9 7 4
D 8 3 2
C K 4
TableS K 9 7 5
H Q 10 8 6
D J
C Q 10 7 5
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


157.S A J 10
H Q 10 3
D A 3
C A K Q 9 5
S K Q 8 5
H A J 8 4 2
D K 7
C 7 4
TableS 9 7 6 2
H K 9 7 6
D J 8 2
C J 10
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


164.S A Q J 7
H A 8 6
D K 8 3
C A K 10
S 10 9 6 5 2
H K Q 4 2
D A 2
C Q 4
TableS K 8
H J 10 9 7 3
D J 7
C J 9 7 5
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


168.S K J 7 6 5
H J 4
D A K J
C A K 10
S A Q 8
H 10 8 3 2
D 8 3
C J 9 5 4
TableS 10 9 2
H A K Q 9 7 6
D 7 2
C Q 7
2 NT 6
3 NT 6
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


169.S A J 8 2
H A 8 7 3
D A K 3
C A 4
S K 9 7 6 5
H K 2
D 8 2
C K Q J 5
TableS Q 10
H Q J 10 9 6 4
D J 7
C 10 9 7
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


170.S K 8 7 2
H A 10
D A K 2
C A Q J 9
S A Q 5
H K 9 7 6
D J 8 7 3
C K 5
TableS J 10 9 6
H Q J 8 4 3 2
D
C 10 7 4
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


TopMain


177.S A K J
H A J 10 9 3
D K 2
C K Q 9
S 7 5 2
H K Q 8 7 4
D A
C A 10 7 5
TableS Q 10 9 8 6
H 6 2
D J 8 7 3
C J 4
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


178.S K 7 6
H A K J 9 2
D A 2
C A Q 5
S A Q J 9 8 2
H 8 4 3
D 8 7
C K 10
TableS 10 5
H Q 10 7 6
D K J 3
C J 9 7 4
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


183.S A 9 8 6
H 8 6
D A K J
C A K J 4
S Q J 10 5
H K Q 2
D 8 7 2
C Q 10 7
TableS K 7 2
H A J 10 9 7 4 3
D 3
C 9 5
2 NT 6
3 NT 6
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


185.S A J 9 5
H A Q 4
D A K 3
C Q 10 7
S K Q 10 6
H K 10 3
D 8
C A K J 9 5
TableS 8 7 2
H J 9 8 7 6 2
D J 7 2
C 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


188.S K Q 9 6
H K 9 4
D A K
C A Q 10 9
S J 10 7 5
H A 10 7 3 2
D 8 3
C K J
TableS A 8 2
H Q J 8 6
D J 7 2
C 7 5 4
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


190.S A K Q 10 2
H A 6 3
D A 8 7
C A 7
S 7
H K 10 9 8 4 2
D K 2
C K 10 9 4
TableS J 9 8 6 5
H Q J 7
D J 3
C Q J 5
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


192.S A J
H A J 10 3
D A K 8 2
C A 9 7
S Q 7 6 2
H 9 8 6 4
D 3
C K Q 10 4
TableS K 10 9 8 5
H K Q 7 2
D J 7
C J 5
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


193.S A K 5
H J 9 2
D A K 8 7
C A J 5
S Q 8 6 2
H K 10 8 7
D 3
C K 10 9 7
TableS J 10 9 7
H A Q 6 4 3
D J 2
C Q 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


196.S K Q
H A Q 3
D A K 8
C Q 10 9 5 4
S 9 8 7
H K J 10 9 8 7
D J 3
C A J
TableS A J 10 6 5 2
H 6 4 2
D 7 2
C K 7
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


197.S A J 10 6
H Q J 7
D A K 8
C K Q 4
S K Q 8
H A K 8 6
D J 7 2
C 10 9 5
TableS 9 7 5 2
H 10 9 4 3 2
D 3
C A J 7
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


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198.S A Q 10 7 6
H K 6
D A K 3
C A 10 5
S J 2
H Q J 9 7 3 2
D 8 7
C K J 4
TableS K 9 8 5
H A 10 8 4
D J 2
C Q 9 7
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


201.S Q 9 8 7
H K 10 3
D A K J
C A K 10
S J 10
H A Q 9 8 2
D 3
C Q J 9 7 4
TableS A K 6 5 2
H J 7 6 4
D 8 7 2
C 5
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


203.S A 6
H A K 2
D A K J 7 3
C Q 7 4
S K Q 10 8 5
H 9 7 4
D 8
C A K 9 5
TableS J 9 7 2
H Q J 10 8 6 3
D 2
C J 10
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


205.S A K 6
H 10 7
D A K 8 2
C A K 7 4
S 10 7 5 2
H Q J 8 6 3 2
D 7
C J 9
TableS Q J 9 8
H A K 9 4
D J 3
C Q 10 5
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


206.S A Q J
H A 8 7 3
D 7 3 2
C A K Q
S K 8 6 2
H K Q J 9 2
D 8
C 9 7 5
TableS 10 9 7 5
H 10 6 4
D A K J
C J 10 4
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


211.S A Q 5
H A 8 6 3
D A K 2
C A 5 4
S 10 9 8 2
H K Q J 10 7
D J 3
C 9 7
TableS K J 7 6
H 9 4 2
D 8 7
C K Q J 10
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


213.S K Q
H K Q J 9 4
D A J 7
C K J 9
S A 9 2
H A 8 6 3
D K 3 2
C A Q 10
TableS J 10 8 7 6 5
H 10 7 2
D 8
C 7 5 4
2 NT 5
3 NT 5
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


215.S A Q 8 7 6
H A 7 3
D A 7
C A Q J
S J 9 5
H K Q J 10 9 2
D K J 3
C K
TableS K 10 2
H 8 6 4
D 8 2
C 10 9 7 5 4
2 NT 6
3 NT 6
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


218.S A J 10
H A Q 8
D A 7 3 2
C A J 5
S K 6 5
H K 9 7 6 2
D K J
C Q 9 7
TableS Q 9 8 7 2
H J 10 4 3
D 8
C K 10 4
2 NT 9
3 NT 9
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


222.S A 10 7 6
H Q 7 6 4
D A K 7
C A K
S K Q 9 5 2
H A
D 8 3 2
C 10 7 5 4
TableS J 8
H K J 10 9 8 3 2
D J
C Q J 9
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


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224.S A K J
H A K Q 10
D 8 3 2
C A 10 9
S Q 9 7 6 2
H J 8 7 6 4 3
D
C K J
TableS 10 8 5
H 9 2
D A K J 7
C Q 7 5 4
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


226.S A K 9
H A J 10 8
D A 7 2
C A J 4
S J 6 2
H K Q 3 2
D K 8 3
C K 10 9
TableS Q 10 8 7 5
H 9 7 6 4
D J
C Q 7 5
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


228.S A K Q J
H 7 4 2
D A 7 2
C A Q J
S 10 8 7 6 2
H A J 10 9 3
D
C K 7 5
TableS 9 5
H K Q 8 6
D K J 8 3
C 10 9 4
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


229.S A Q 10
H K J 9 7 6
D K 2
C A K 9
S K J 8 7 2
H A Q 10
D A 8 3
C J 10
TableS 9 6 5
H 8 4 3 2
D J 7
C Q 7 5 4
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


231.S 8 6 5
H A Q 7
D A K 8 7 3
C A K
S A Q 10 9 7
H 6 4 3 2
D J
C 7 5 4
TableS K J 2
H K J 10 9 8
D 2
C Q J 10 9
2 NT 8
3 NT 8
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


236.S K J 10
H A K Q
D A J 7 3
C K 7 5
S Q 8 7 2
H 10 8 4 3
D K 2
C J 9 4
TableS A 9 6 5
H J 9 7 6 2
D 8
C A Q 10
2 NT 8
3 NT 8
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


241.S A K 9
H A 9 8
D A K J 7
C J 7 4
S 10 7 6 2
H K J 4 3 2
D 3
C K 10 5
TableS Q J 8 5
H Q 10 7 6
D 8 2
C A Q 9
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


243.S A J 10
H A K 8 3
D A J 8 3
C A 4
S K 7 5
H 7 6 2
D K 7
C Q J 9 7 5
TableS Q 9 8 6 2
H Q J 10 9 4
D 2
C K 10
2 NT 8
3 NT 8
5 D 12
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


247.S A 2
H A K 10 3
D A K 3
C Q J 7 4
S Q 10 9 7 6
H Q J 8
D J 8 7
C 9 5
TableS K J 8 5
H 9 7 6 4 2
D 2
C A K 10
2 NT 9
3 NT 9
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


252.S A Q 10 6
H A 7 2
D K J
C K Q J 5
S K J 7 2
H J 10 6 3
D A 8 2
C A 10
TableS 9 8 5
H K Q 9 8 4
D 7 3
C 9 7 4
2 NT 7
3 NT 7
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


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9991.S K Q 9 5
H A K Q J
D A 7
C Q 7 4
S A J 8 2
H 9 6 4 2
D J 8 2
C J 9
TableS 10 7 6
H 10 8 7 3
D K 3
C A K 10 5
2 NT 7
3 NT 7
5 D 8
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9992.S A J
H J 10 9
D A J 7
C A K Q J 4
S K Q 10 9 8 7
H 7 6 3 2
D 8
C 7 5
TableS 6 5 2
H A K Q 8 4
D K 3 2
C 10 9
2 NT 7
3 NT 7
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9993.S J 8
H K J 7 2
D A K J 3
C A K 4
S A 9 7 5 2
H 9 6 4 3
D 7 2
C 10 9
TableS K Q 10 6
H A Q 10 8
D 8
C Q J 7 5
2 NT 5
3 NT 5
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9994.S K Q 2
H K J 4 3
D A K 3
C A J 9
S J 8
H A 10 8 7 6
D J 7
C Q 7 5 4
TableS A 10 9 7 6 5
H Q 9 2
D 8 2
C K 10
2 NT 8
3 NT 8
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9995.S J 10 8 5 2
H A Q 8
D A K J
C A Q
S K
H K J 10 3
D 8 7 3
C K J 10 9 7
TableS A Q 9 7 6
H 9 7 6 4 2
D 2
C 5 4
2 NT 10
3 NT 10
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9996.S A Q 6 5
H A J 8 7
D A 2
C K Q 4
S 10 9
H K 9 6
D K 8 3
C J 10 9 7 5
TableS K J 8 7 2
H Q 10 4 3 2
D J 7
C A
2 NT 6
3 NT 6
5 D 9
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9997.S A Q 7 5
H A K
D K J 7
C K J 7 5
S J 9
H J 10 8 7 6 4
D A 2
C A Q 4
TableS K 10 8 6 2
H Q 9 3 2
D 8 3
C 10 9
2 NT 8
3 NT 8
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9998.S A K 8 7
H A J 4
D A 2
C A J 9 4
S J 9 2
H 10 9 8 3
D K 7 3
C K 10 5
TableS Q 10 6 5
H K Q 7 6 2
D J 8
C Q 7
2 NT 6
3 NT 6
5 D 11
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


9999.S A K J 6
H A K Q 6
D J 3
C K 9 4
S Q 10 9 5
H 10 9 4 3
D A 8
C Q 10 5
TableS 8 7 2
H J 8 7 2
D K 7 2
C A J 7
2 NT 6
3 NT 6
5 D 8
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


10000.S Q 2
H A K 10 7 3
D A 7 3
C A K 9
S A K 9 8 6 5
H 8 6 4 2
D 8
C Q 7
TableS J 10 7
H Q J 9
D K J 2
C J 10 5 4
2 NT 6
3 NT 6
5 D 10
S 4 3
H 5
D Q 10 9 6 5 4
C 8 6 3 2


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© 2019 Richard Pavlicek