Simulation 8Z27 Main | 
Three Notrump or Double?
|
by Richard Pavlicek |
At IMPs, East opens 3
in third seat at favorable vulnerability. You hold:
West Pass
| North Pass
| East 3
| South ?
| K Q
A J 10 9
A J 9 6 2
A K |
Would you overcall 3 NT (Option A) or double (Option B)? Either option has risks. If you bid 3 NT, a spade lead could be deadly when East holds up his ace to keep communication. If you double (takeout) and partner bids 4
, you will presumably continue with 4
, but therein lies no comfort beyond 3 NT on what could be a misfit. I would double because it’s more flexible, and the danger in bidding 3 NT seems too likely. Nonetheless, my decisions are hardly gospel, so I’ll throw it to Madame Zoltar for a simulation.
Comparison is not straightforward, as double will lead to different contracts depending on partner’s hand. More specifically, North might be declarer in 3 NT, 4
, 5
or 5
; South might be declarer in 4
or 5
; and East might be left to play 3
×. To avoid further complication, slam possibilities will be ignored, as will the remote chance of West raising to 4
.
For a simulation I created 10,000 random deals with the South hand fixed. West and North: unable to open the bidding (including weak bids). East: 6+ spades; 10 HCP max; 5 to 6.5 playing tricks with at least 3.5 in spades; not 6-3-2-2 or 6-3-3-1 with 5-10 HCP (else 2
is normal).
Results are shown below. Trick Average shows the average number of tricks won by declarer (North or South), Make Percent how often the N-S contract is made (including with overtrick), and Overtrick Percent how often an overtrick is made. (The first table excludes cases where East plays 3
×.) The second table compares the options according to bridge scoring (all results included) with the better option leftmost. Net W-L (matchpoints or board-a-match verdict) counts +1 for a win and -1 for a loss. Net Score and Net IMPs are calculated twice, first with N-S nonvul (green) then with N-S vul (red). Plus values show the net gain over 10,000 deals.
As anticipated, double is the winner, gaining 13,514 IMPs (1.3514 per deal average) in the applicable category. Curiously, it’s a different story at Won-Lost with 3 NT gaining the edge, obviously because of many small pickups (e.g., 630 vs. 620).
In practice I think double would fare even better for two reasons: (1) Double-dummy play seems to favor the 3 NT bid, e.g., give partner
K-10-x-x (opp. your
A-J-9-6-2) and it’s a 100-percent make, while in actual play a misguess could put you down three. (2) If there happens to be a slam, double is more apt to get you there than 3 NT.
Results for 10,000 Deals
Option | Trick Average | Make Percent | Overtrick Percent
|
---|
A. 3 NT S | 9.8018 | 74.17 | 58.08
|
B. Double | 10.8331 | 79.86 | 51.16 |
Comparison | Net W-L | NV Net Score | NV Net IMPs | Vul Net Score | Vul Net IMPs
|
---|
B. Double vs. A. 3 NT S | -518 | +494,110 | +10,725 | +770,360 | +13,514 |
Actual Deals
Below are 100 of the 10,000 deals, including the first 20, last 20, and 60 in-between with the greatest IMP gains (30 for each option). Numbers after each contract show the tricks won by declarer with double-dummy play all-around.
1.  | J
Q 8 7 3
K Q 7 4
J 9 7 3
|
8 4 3 2
K 4
10 8 5 3
Q 10 8 |  | A 10 9 7 6 5
6 5 2
—
6 5 4 2
|
3 NT S → 9 4 N → 10 | K Q
A J 10 9
A J 9 6 2
A K |
2.  | 8 4 3
8 6 3
K 5 4
J 10 8 4
|
J 10
K 2
Q 10 8 7 3
Q 9 5 2 |  | A 9 7 6 5 2
Q 7 5 4
—
7 6 3
|
3 NT S → 7 4 S → 8 | K Q
A J 10 9
A J 9 6 2
A K |
3.  | 9 4
Q 7 4
K Q 7
10 8 6 3 2
|
A 3 2
K 2
8 5 4 3
J 9 7 4 |  | J 10 8 7 6 5
8 6 5 3
10
Q 5
|
3 NT S → 9 5 S → 11 | K Q
A J 10 9
A J 9 6 2
A K |
4.  | A J 9
7 6 3
K Q 8 7 3
10 8
|
7
K 8 5 4 2
5 4
J 7 6 3 2 |  | 10 8 6 5 4 3 2
Q
10
Q 9 5 4
|
3 NT S → 12 3 NT N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
5.  | J 10 3 2
8 5 3 2
Q 10 7 5
8
|
6
Q 7 6 4
K 8
Q J 10 9 7 3 |  | A 9 8 7 5 4
K
4 3
6 5 4 2
|
3 NT S → 7 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
6.  | 10 8 2
7 6 5
7 3
Q 9 8 4 3
|
7 5
K Q 4 2
K 10 8 5 4
10 7 |  | A J 9 6 4 3
8 3
Q
J 6 5 2
|
3 NT S → 5 4 S → 7 | K Q
A J 10 9
A J 9 6 2
A K |
7.  | A J 6 2
K 5 4 2
7
10 7 6 2
|
—
Q 8 7 6 3
K Q 10 5 4
J 5 4 |  | 10 9 8 7 5 4 3
—
8 3
Q 9 8 3
|
3 NT S → 11 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
8.  | A 8 4 3
K 7 5 4
K
9 8 5 4
|
7
Q 8 6 2
Q 8 7 5 4
J 10 3 |  | J 10 9 6 5 2
3
10 3
Q 7 6 2
|
3 NT S → 12 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
9.  | A 7
Q 8 3 2
Q 3
J 7 4 3 2
|
5 4
K 7 6 4
10 8 7 5
10 9 8 |  | J 10 9 8 6 3 2
5
K 4
Q 6 5
|
3 NT S → 10 4 N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
10.  | 3
K 8 7 3 2
Q 5 3
Q 7 5 4
|
J 9 5 4
Q 6 5
10 8 4
10 6 2 |  | A 10 8 7 6 2
4
K 7
J 9 8 3
|
3 NT S → 12 4 N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
11.  | 9 8 7 5
8 7 6 3
5 3
J 10 6
|
J
K Q 4
K 7
Q 8 7 5 4 3 2 |  | A 10 6 4 3 2
5 2
Q 10 8 4
9
|
3 NT S → 6 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
12.  | 7
K 7 5
8 5 3
Q 10 8 5 4 2
|
J 4 2
8 6 3 2
K Q
J 9 6 3 |  | A 10 9 8 6 5 3
Q 4
10 7 4
7
|
3 NT S → 9 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
13.  | 8
Q 7 3
10 8 4 3
J 10 9 8 2
|
J 6 4
K 8 5 4
K Q 7
7 6 5 |  | A 10 9 7 5 3 2
6 2
5
Q 4 3
|
3 NT S → 6 4 S → 9 | K Q
A J 10 9
A J 9 6 2
A K |
14.  | 8 4 3
Q 2
K 10 4 3
9 6 5 4
|
10 5
K 7 4
Q 8
Q 10 8 7 3 2 |  | A J 9 7 6 2
8 6 5 3
7 5
J
|
3 NT S → 9 5 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
15.  | 9 4 3
K Q
K 8 4
9 7 6 4 2
|
6
6 5 4 3 2
Q 10 7 5
Q 10 3 |  | A J 10 8 7 5 2
8 7
3
J 8 5
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
16.  | —
K Q 5 3
Q 10 4
J 7 5 4 3 2
|
6 5 4 2
8 6 4 2
K 5
Q 8 6 |  | A J 10 9 8 7 3
7
8 7 3
10 9
|
3 NT S → 8 4 N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
17.  | A 5 4
K Q 8 5
Q 5 3
10 5 2
|
9 6
7 6 4 3 2
10
Q J 7 6 3 |  | J 10 8 7 3 2
—
K 8 7 4
9 8 4
|
3 NT S → 13 4 N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
18.  | A 9 7
5 4
K Q 10 4
Q 9 7 2
|
5 2
Q 7 6 3 2
8 5 3
10 8 4 |  | J 10 8 6 4 3
K 8
7
J 6 5 3
|
3 NT S → 12 3 NT N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
19.  | 7 5
8 7 6 2
K 10 8
Q 8 4 3
|
A 9 6
Q
7 5 4 3
J 7 6 5 2 |  | J 10 8 4 3 2
K 5 4 3
Q
10 9
|
3 NT S → 10 4 N → 10 | K Q
A J 10 9
A J 9 6 2
A K |
20.  | 9 3
K 8
K 10 8 5
10 9 7 6 4
|
A 4
6 5 4 3 2
Q 7
Q 8 5 2 |  | J 10 8 7 6 5 2
Q 7
4 3
J 3
|
3 NT S → 12 5 S → 12 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
158.  | J 10 7 2
K 3
8 7 3
10 8 3 2
|
6
Q 8 5 4 2
K Q 10 4
J 5 4 |  | A 9 8 5 4 3
7 6
5
Q 9 7 6
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
304.  | J 6 3 2
8 6 5 4
4
Q 10 3 2
|
7
K Q 7 2
K 10 8 7 3
7 5 4 |  | A 10 9 8 5 4
3
Q 5
J 9 8 6
|
3 NT S → 7 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
305.  | J 3 2
K 5
Q 7 5
10 6 4 3 2
|
4
Q 8 7 6
K 4
Q J 9 8 7 5 |  | A 10 9 8 7 6 5
4 3 2
10 8 3
—
|
3 NT S → 11 5 S → 8 | K Q
A J 10 9
A J 9 6 2
A K |
523.  | J 10 7 3
7 6 4 2
7
J 10 9 3
|
2
K Q 8 5
K 10 8
Q 8 7 6 2 |  | A 9 8 6 5 4
3
Q 5 4 3
5 4
|
3 NT S → 7 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
714.  | 10 8 6
K 4 3
Q 8 3
Q 9 7 4
|
4
Q 8 7 6 2
K 10 5
10 5 3 2 |  | A J 9 7 5 3 2
5
7 4
J 8 6
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
784.  | J 10 3
6 4 2
Q 10 7 3
J 9 3
|
4
K Q 5
K 8 4
Q 7 6 5 4 2 |  | A 9 8 7 6 5 2
8 7 3
5
10 8
|
3 NT S → 9 5 N → 8 | K Q
A J 10 9
A J 9 6 2
A K |
792.  | 9 5 2
7 6 5
Q 8
Q 9 6 4 3
|
6
K Q 3
K 10 4
J 10 8 7 5 2 |  | A J 10 8 7 4 3
8 4 2
7 5 3
—
|
3 NT S → 9 4 S → 6 | K Q
A J 10 9
A J 9 6 2
A K |
984.  | 10 7 4 3 2
Q
10 8 4 3
7 4 2
|
—
K 6 4 2
K 7 5
Q 10 9 6 5 3 |  | A J 9 8 6 5
8 7 5 3
Q
J 8
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
1023.  | 8 6
K 5
8 7 3
Q J 6 5 4 3
|
10 3
Q 8 6 4 2
K Q 5 4
10 7 |  | A J 9 7 5 4 2
7 3
10
9 8 2
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
1082.  | A 9 7 3 2
3 2
8 7 4
10 9 2
|
—
Q 6 4
K 10 5 3
Q J 8 7 5 4 |  | J 10 8 6 5 4
K 8 7 5
Q
6 3
|
3 NT S → 7 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
1304.  | A 8 7 3
Q 7
Q 7
9 8 7 5 2
|
—
K 5 2
K 10 5 4
Q J 10 6 4 3 |  | J 10 9 6 5 4 2
8 6 4 3
8 3
—
|
3 NT S → 10 5 S → 7 | K Q
A J 10 9
A J 9 6 2
A K |
1668.  | 9 4 3 2
Q
Q 7 5 4
10 8 7 5
|
8
K 8 4 3
K 10 3
Q J 9 6 2 |  | A J 10 7 6 5
7 6 5 2
8
4 3
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
1910.  | J 9 8 2
Q 4 3
Q 7 4
8 7 2
|
—
K 7 6 2
K 10 8 5
Q J 5 4 3 |  | A 10 7 6 5 4 3
8 5
3
10 9 6
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
1973.  | A 8 7 6 3
7 4
10 8 4 3
Q 9
|
—
Q 8 6 3 2
K Q 5
J 8 7 4 3 |  | J 10 9 5 4 2
K 5
7
10 6 5 2
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
2115.  | J
K 6 2
K 7
10 9 7 6 5 4 2
|
8 7 6 3
Q 7
8 4 3
Q J 8 3 |  | A 10 9 5 4 2
8 5 4 3
Q 10 5
—
|
3 NT S → 12 5 N → 10 | K Q
A J 10 9
A J 9 6 2
A K |
2264.  | J 5 3 2
K 8
7 5
Q 10 8 6 3
|
7
Q 7 6 5 2
K Q 10 8 3
9 2 |  | A 10 9 8 6 4
4 3
4
J 7 5 4
|
3 NT S → 9 5 S → 8 | K Q
A J 10 9
A J 9 6 2
A K |
2366.  | 10 7 6 5
K 7
10 8 5
7 5 3 2
|
2
Q 5 4
K Q 7 3
Q 10 9 8 4 |  | A J 9 8 4 3
8 6 3 2
4
J 6
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
2525.  | 9 8 6 5 3
5 4 3 2
K 5 4
6
|
—
K Q 8
Q 10 8 3
Q 10 8 5 3 2 |  | A J 10 7 4 2
7 6
7
J 9 7 4
|
3 NT S → 6 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
2545.  | J 9 7 6 3
8 6 3 2
Q 8 5
4
|
—
K Q 5 4
K 10 4
J 8 7 6 3 2 |  | A 10 8 5 4 2
7
7 3
Q 10 9 5
|
3 NT S → 7 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
2577.  | 7 4 3
K 8
Q 10 4
Q 9 5 3 2
|
2
Q 6 5 2
K 7 5 3
J 8 7 4 |  | A J 10 9 8 6 5
7 4 3
8
10 6
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
2612.  | 9 7 5 2
7 4
Q 10
Q J 8 4 2
|
A
Q 6 3
K 7 4
10 9 7 6 5 3 |  | J 10 8 6 4 3
K 8 5 2
8 5 3
—
|
3 NT S → 10 4 S → 7 | K Q
A J 10 9
A J 9 6 2
A K |
2986.  | J 9 5
Q 5 3
K Q 8
9 8 3 2
|
4
K 7 6 4 2
7 5
10 7 6 5 4 |  | A 10 8 7 6 3 2
8
10 4 3
Q J
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
3033.  | 10 5
K 6 3
Q 5
J 10 9 5 4 3
|
A 7
Q 8 7 5 2
K 10 8 7 3
7 |  | J 9 8 6 4 3 2
4
4
Q 8 6 2
|
3 NT S → 10 5 N → 9 | K Q
A J 10 9
A J 9 6 2
A K |
3135.  | 9 7
Q 8 7
K 7 5
Q 10 7 4 3
|
J 6 5
6 4 3 2
Q 10 8 4
J 9 |  | A 10 8 4 3 2
K 5
3
8 6 5 2
|
3 NT S → 12 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
3395.  | J 10 9 5 3
K 7 2
K 5
Q 10 8
|
—
8 4
Q 10 8 7 4
J 9 7 5 4 2 |  | A 8 7 6 4 2
Q 6 5 3
3
6 3
|
3 NT S → 12 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
3423.  | 9 8 3
8 4 3 2
Q 8
Q J 8 6
|
10
K Q 6 5
K 10 5 3
10 7 5 4 |  | A J 7 6 5 4 2
7
7 4
9 3 2
|
3 NT S → 9 4 N → 8 | K Q
A J 10 9
A J 9 6 2
A K |
3639.  | J 9 8 7 4
5 2
7 5 3
Q 10 5
|
—
K 8 6 4 3
K Q 10 8
9 6 3 2 |  | A 10 6 5 3 2
Q 7
4
J 8 7 4
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
3834.  | J 10 7 6
8 7 4 2
K 5 4
9 7
|
5
K 6 5 3
Q 10 3
J 10 5 4 3 |  | A 9 8 4 3 2
Q
8 7
Q 8 6 2
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
3873.  | J 7 5 4
Q 8 6 3
5
10 6 5 4
|
2
K 7 5 4 2
K 10 8 3
Q 9 3 |  | A 10 9 8 6 3
—
Q 7 4
J 8 7 2
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
3960.  | A 8 7 2
6 5 3
7 4
7 5 4 3
|
9
K 7
Q 8 5 3
Q 10 9 8 6 2 |  | J 10 6 5 4 3
Q 8 4 2
K 10
J
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
4157.  | J 3 2
K 3
10 8 5
Q J 10 7 5
|
10 7
Q 7 2
Q 4 3
9 8 6 4 2 |  | A 9 8 6 5 4
8 6 5 4
K 7
3
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
4410.  | J 9 7 6 3
K 3
8 7 5 4
Q 7
|
—
Q 7 5 4 2
K Q 10
J 8 6 3 2 |  | A 10 8 5 4 2
8 6
3
10 9 5 4
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
4661.  | A 10 8 6
8 5 4
8 4 3
7 6 4
|
—
Q 6 2
K Q 10 7
Q 9 8 5 3 2 |  | J 9 7 5 4 3 2
K 7 3
5
J 10
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
4857.  | J 8 6 2
K 6
Q 3
J 10 8 4 3
|
9
8 5 4 3
K 10
Q 9 7 6 5 2 |  | A 10 7 5 4 3
Q 7 2
8 7 5 4
—
|
3 NT S → 11 5 S → 8 | K Q
A J 10 9
A J 9 6 2
A K |
5054.  | J 10 9 8 7
K 4
K Q 8
Q J 8
|
—
7 6 3 2
10 7 5 4 3
10 7 6 2 |  | A 6 5 4 3 2
Q 8 5
—
9 5 4 3
|
3 NT S → 12 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
5481.  | 7 6 5 3
Q 2
K Q 10 7
Q 10 9
|
4
K 6 3
8 5 4 3
J 8 6 5 2 |  | A J 10 9 8 2
8 7 5 4
—
7 4 3
|
3 NT S → 11 5 N → 10 | K Q
A J 10 9
A J 9 6 2
A K |
5644.  | 8 5 4
Q 5 3 2
Q 7 4
Q 10 6
|
J
K 4
K 10 8 5 3
J 8 7 5 4 |  | A 10 9 7 6 3 2
8 7 6
—
9 3 2
|
3 NT S → 9 4 N → 8 | K Q
A J 10 9
A J 9 6 2
A K |
5965.  | A 9 4 2
8 7 5 3
8 5
J 10 9
|
8
K Q 4 2
K 3
Q 7 5 4 3 2 |  | J 10 7 6 5 3
6
Q 10 7 4
8 6
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
6009.  | J 8 5
8 7
Q 10
J 9 8 7 5 4
|
3 2
K 6 2
K 8 5
Q 10 6 3 2 |  | A 10 9 7 6 4
Q 5 4 3
7 4 3
—
|
3 NT S → 9 4 S → 7 | K Q
A J 10 9
A J 9 6 2
A K |
6347.  | J 10 7 6
Q 7 6 4
8
10 5 4 2
|
3
K 8 5 3 2
K 10 7 4
Q 8 3 |  | A 9 8 5 4 2
—
Q 5 3
J 9 7 6
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
6385.  | 10 9 7 6
8
Q 7 4 3
J 8 7 6
|
8
K Q 6 2
K 10 8 5
Q 5 4 3 |  | A J 5 4 3 2
7 5 4 3
—
10 9 2
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
6490.  | 8 4 3 2
K Q 3
8 4 3
9 6 3
|
J
7 2
K Q 10 7
Q 10 8 5 4 2 |  | A 10 9 7 6 5
8 6 5 4
5
J 7
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
6782.  | J 10 6 5
Q 4
7 5 4 3
9 7 3
|
2
K 7 5
K Q 10
Q 10 8 5 4 2 |  | A 9 8 7 4 3
8 6 3 2
8
J 6
|
3 NT S → 7 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
6820.  | J 5 4 3
8
Q 10 7 3
9 8 6 2
|
7
K 7 4 2
K 8 5 4
Q J 5 3 |  | A 10 9 8 6 2
Q 6 5 3
—
10 7 4
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
7270.  | 9 7 6 4
4 2
K 8
Q 9 8 5 4
|
2
K Q 6
Q 10 3
J 10 7 6 3 2 |  | A J 10 8 5 3
8 7 5 3
7 5 4
—
|
3 NT S → 9 4 S → 7 | K Q
A J 10 9
A J 9 6 2
A K |
7298.  | 10 7 6 3
K Q
7 3
10 7 6 5 3
|
—
8 7 6 5 3
K Q 10
Q J 9 4 2 |  | A J 9 8 5 4 2
4 2
8 5 4
8
|
3 NT S → 9 4 N → 7 | K Q
A J 10 9
A J 9 6 2
A K |
7384.  | 8 7
K 6
7 5 3
J 7 6 4 3 2
|
A 6
Q 8 7 5 4 3
K Q
10 9 8 |  | J 10 9 5 4 3 2
2
10 8 4
Q 5
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
7641.  | 9 8 7 4
Q 7 5 3
Q
7 5 4 2
|
2
K 6 4 2
K 10 4
Q J 10 8 3 |  | A J 10 6 5 3
8
8 7 5 3
9 6
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
7687.  | A 9 8 5 2
Q 6
7 4 3
10 7 4
|
—
K 5 2
Q 10 8 5
J 9 8 6 5 3 |  | J 10 7 6 4 3
8 7 4 3
K
Q 2
|
3 NT S → 9 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
7806.  | 10 9 7 6 5
Q 7 4
K 3
10 6 5
|
—
K 6 5 3
Q 10 7 5 4
Q J 8 2 |  | A J 8 4 3 2
8 2
8
9 7 4 3
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
7874.  | J 8 7 5 4
8 7
K 4 3
7 4 2
|
—
K Q 4
Q 10 8 5
J 10 9 8 6 5 |  | A 10 9 6 3 2
6 5 3 2
7
Q 3
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
8442.  | J 10 6 3
7 5
Q 3
Q 10 8 6 4
|
4
K 8 3
K 8 7
J 9 7 5 3 2 |  | A 9 8 7 5 2
Q 6 4 2
10 5 4
—
|
3 NT S → 9 4 S → 7 | K Q
A J 10 9
A J 9 6 2
A K |
8488.  | J 4 2
8 4
8 7 5 4
Q J 6 3
|
3
K 6 5 3
K Q 10 3
9 8 7 2 |  | A 10 9 8 7 6 5
Q 7 2
—
10 5 4
|
3 NT S → 9 5 N → 8 | K Q
A J 10 9
A J 9 6 2
A K |
8493.  | 9 7
K Q 7
Q 7 4
Q 10 9 8 4
|
A 6 4
8 6 4 3 2
5
7 6 5 3 |  | J 10 8 5 3 2
5
K 10 8 3
J 2
|
3 NT S → 12 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
8642.  | 7
K 5
10 8 5
J 10 9 6 5 4 3
|
A 9 2
Q 8 7 4
K Q 7 4
8 7 |  | J 10 8 6 5 4 3
6 3 2
3
Q 2
|
3 NT S → 11 5 S → 10 | K Q
A J 10 9
A J 9 6 2
A K |
8701.  | 10 8 4
8 2
K Q 8 3
J 10 3 2
|
J
K 7 6 5 3
10 7 4
Q 8 6 5 |  | A 9 7 6 5 3 2
Q 4
5
9 7 4
|
3 NT S → 11 5 N → 10 | K Q
A J 10 9
A J 9 6 2
A K |
8759.  | J 8 4
6 5
Q 10 4
Q 9 6 3 2
|
6
Q 7 4 3 2
K 8 7
J 8 7 4 |  | A 10 9 7 5 3 2
K 8
5 3
10 5
|
3 NT S → 10 5 S → 9 | K Q
A J 10 9
A J 9 6 2
A K |
9498.  | 10 8 5 3
6
K 8 5 4
6 5 4 2
|
7
K Q 8 7
Q 10 7 3
Q 10 8 7 |  | A J 9 6 4 2
5 4 3 2
—
J 9 3
|
3 NT S → 8 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
9663.  | 10 6 4
Q 6 4
K 8
Q 10 9 6 4
|
8
K 8 7 5
Q 10 7 5 3
J 7 3 |  | A J 9 7 5 3 2
3 2
4
8 5 2
|
3 NT S → 11 5 S → 9 | K Q
A J 10 9
A J 9 6 2
A K |
9967.  | J 4 3
K 6
10 5 3
Q 9 8 7 4
|
2
Q 8 4 3 2
K Q 8 4
J 6 3 |  | A 10 9 8 7 6 5
7 5
7
10 5 2
|
3 NT S → 10 5 S → 9 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
9981.  | 9
K 8 5 4
Q 5
Q J 10 9 6 4
|
A 7 3
7 3
K 10 8 3
8 5 3 2 |  | J 10 8 6 5 4 2
Q 6 2
7 4
7
|
3 NT S → 12 4 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9982.  | 4 2
Q 8 7 2
K 7 4
J 9 8 4
|
J 9 6
K 6 5 4 3
10
Q 10 5 3 |  | A 10 8 7 5 3
—
Q 8 5 3
7 6 2
|
3 NT S → 7 4 N → 9 | K Q
A J 10 9
A J 9 6 2
A K |
9983.  | 8 7
K 7 5 3 2
Q 8 7
J 9 7
|
A 5
Q 6
10 5 3
Q 8 5 4 3 2 |  | J 10 9 6 4 3 2
8 4
K 4
10 6
|
3 NT S → 12 4 N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
9984.  | A 2
Q 7 4
Q 7 4 3
Q 10 9 4
|
9 5 4
K 6 5 2
10 8 5
8 7 5 |  | J 10 8 7 6 3
8 3
K
J 6 3 2
|
3 NT S → 12 3 NT N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
9985.  | 6 4
K 8 7 6 3
Q 4
Q 8 3 2
|
10 7 2
5 4 2
K 7
J 10 7 6 5 |  | A J 9 8 5 3
Q
10 8 5 3
9 4
|
3 NT S → 10 4 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9986.  | 9 3
7 4 2
Q 8 7 3
J 9 6 3
|
J 7 5
K 8 6 5 3
K 10
8 7 2 |  | A 10 8 6 4 2
Q
5 4
Q 10 5 4
|
3 NT S → 7 5 N → 10 | K Q
A J 10 9
A J 9 6 2
A K |
9987.  | 7 3
K Q 7
Q 10 7 3
Q J 9 7
|
10 5
8 4 3 2
K 8 4
8 6 3 2 |  | A J 9 8 6 4 2
6 5
5
10 5 4
|
3 NT S → 10 5 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9988.  | 10 6
K Q 4 3 2
Q 7 4
6 4 2
|
8 7 4
8
K 10 8 5 3
Q J 10 3 |  | A J 9 5 3 2
7 6 5
—
9 8 7 5
|
3 NT S → 9 4 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9989.  | J 8 3
Q 4 3
K Q 10 8
J 3 2
|
9 2
K 8 6 2
5 4 3
10 8 7 6 |  | A 10 7 6 5 4
7 5
7
Q 9 5 4
|
3 NT S → 10 5 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9990.  | J 10 4
8 7 3
K 5 3
9 8 6 5
|
7 3
K 6
10 8 7 4
Q J 4 3 2 |  | A 9 8 6 5 2
Q 5 4 2
Q
10 7
|
3 NT S → 10 4 S → 9 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
9991.  | 4
7 5 2
K 10 4 3
Q J 10 6 4
|
J 3 2
K 8 6 4 3
7
9 8 3 2 |  | A 10 9 8 7 6 5
Q
Q 8 5
7 5
|
3 NT S → 12 5 S → 12 | K Q
A J 10 9
A J 9 6 2
A K |
9992.  | —
6 4 2
K 10 8 4
10 9 8 7 5 4
|
J 9 6 2
K Q 8
Q 3
Q J 3 2 |  | A 10 8 7 5 4 3
7 5 3
7 5
6
|
3 NT S → 9 5 S → 12 | K Q
A J 10 9
A J 9 6 2
A K |
9993.  | 10 7 5 4
K Q 4
10 3
10 8 5 2
|
J
8 7 5 3 2
K Q 8 4
J 9 7 |  | A 9 8 6 3 2
6
7 5
Q 6 4 3
|
3 NT S → 9 3 x → 0 | K Q
A J 10 9
A J 9 6 2
A K |
9994.  | A J 3
Q 6 4 3
K 8
Q 10 9 7
|
2
K 7 5 2
Q 5
J 6 5 4 3 2 |  | 10 9 8 7 6 5 4
8
10 7 4 3
8
|
3 NT S → 12 4 N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
9995.  | 8 6 5
Q 8 6 5
10 7
Q J 10 2
|
J 10
K 7 3 2
K Q 4 3
8 7 5 |  | A 9 7 4 3 2
4
8 5
9 6 4 3
|
3 NT S → 7 4 N → 10 | K Q
A J 10 9
A J 9 6 2
A K |
9996.  | 5
K 6 2
Q 4 3
J 10 9 8 7 6
|
A 9 4
Q 8 7 4
10 8 7 5
4 3 |  | J 10 8 7 6 3 2
5 3
K
Q 5 2
|
3 NT S → 10 5 S → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9997.  | 9 5
K 8 7 5 4 2
Q 4
9 7 3
|
J 6
6 3
K 10 7
Q J 10 8 6 5 |  | A 10 8 7 4 3 2
Q
8 5 3
4 2
|
3 NT S → 10 4 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9998.  | 8 3
K 7 5 4 3
5 3
J 6 5 2
|
J 6
8 6
K Q 4
Q 10 8 7 4 3 |  | A 10 9 7 5 4 2
Q 2
10 8 7
9
|
3 NT S → 8 4 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
9999.  | 7 6 3
8 7 6 5
K 5 4
Q 7 5
|
A 2
Q 4 3 2
7
J 9 8 6 4 3 |  | J 10 9 8 5 4
K
Q 10 8 3
10 2
|
3 NT S → 11 4 N → 11 | K Q
A J 10 9
A J 9 6 2
A K |
10000.  | 10 6 5
K 8 7 6 4 3 2
Q
J 4
|
J 8
5
K 10 7 5 3
Q 9 8 3 2 |  | A 9 7 4 3 2
Q
8 4
10 7 6 5
|
3 NT S → 12 4 N → 12 | K Q
A J 10 9
A J 9 6 2
A K |
Simulation 8Z27 Main |  | Top Three Notrump or Double? |
© 2018 Richard Pavlicek