Simulation 8Z01 Main
A Bid from Outer Space
by Richard PavlicekSimulation 8Z01 Main |
| by Richard Pavlicek |
This hand caused quite a sensation in the 2010 Spingold when an expert player made a brash anti-percentage bid that worked. Holding the South hand after East opens 3 
with neither side vulnerable, slam is in the picture. Many players would consider a jump to 6 
— certainly a reasonable venture considering the limited options available. Amazingly, this player instead jumped to 6 
and caught partner with 8-3 
9-7-4 K-7-6-5 9-8-6-4. Imagine the opposing team’s furor when 6 was cold (diamonds split 3-2) and 6 had no play.
What would you bid?
| West | North | EAST 3 | South ? | You (South) |
| — A 3 2 A Q 8 2 A K Q 7 3 2 |
While 6 is obviously a shot in the dark, just how bad is it? Much has been said about its dubious merit, as well as the possibility that South may have had unauthorized information about the board. I am not here to pass judgment but thought it would be interesting to compare the two bids with a simulation.
For a simulation I created 10,000 random deals with the South hand fixed. East was constrained for an equal-vul 3 opening, or specifically: 6+ spades; 10 HCP max; fewer than 2 defensive tricks unless all in spades; 5.5 to 6.5 playing tricks with at least 4.5 in spades; at most 1 top heart honor (A-K-Q) or none if holding 4 hearts.
Results are shown below. Trick Average shows the average number of tricks won by declarer. Make Percent shows how often the contract is made (including with overtrick) and Overtrick Percent how often an overtrick is made. The second table compares the bids directly, with the better choice 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 declarer nonvul (green) then with declarer vul (red). Plus values show the net gain over 10,000 deals.
The results brought no surprises. For the pertinent scoring method (IMPs, none vul) 6 gained 33,494 IMPs versus the crazed 6 bid — which in raw score is well over 2 million points. Ouch! In practice the carnage would be even worse, as many of the failing 6 bids would be doubled.
Simulation 8Z01 Main |
| by Richard Pavlicek |
This hand caused quite a sensation in the 2010 Spingold when an expert player made a brash anti-percentage bid that worked. Holding the South hand after East opens 3 with neither side vulnerable, slam is in the picture. Many players would consider a jump to 6 — certainly a reasonable venture considering the limited options available. Amazingly, this player instead jumped to 6 and caught partner with 8-3 9-7-4 K-7-6-5 9-8-6-4. Imagine the opposing team’s furor when 6 was cold (diamonds split 3-2) and 6 had no play.
What would you bid?
| West | North | EAST 3 | South ? | You (South) |
| — A 3 2 A Q 8 2 A K Q 7 3 2 |
While 6 is obviously a shot in the dark, just how bad is it? Much has been said about its dubious merit, as well as the possibility that South may have had unauthorized information about the board. I am not here to pass judgment but thought it would be interesting to compare the two bids with a simulation.
For a simulation I created 10,000 random deals with the South hand fixed. East was constrained for an equal-vul 3 opening, or specifically: 6+ spades; 10 HCP max; fewer than 2 defensive tricks unless all in spades; 5.5 to 6.5 playing tricks with at least 4.5 in spades; at most 1 top heart honor (A-K-Q) or none if holding 4 hearts.
Results are shown below. Trick Average shows the average number of tricks won by declarer. Make Percent shows how often the contract is made (including with overtrick) and Overtrick Percent how often an overtrick is made. The second table compares the bids directly, with the better choice 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 declarer nonvul (green) then with declarer vul (red). Plus values show the net gain over 10,000 deals.
The results brought no surprises. For the pertinent scoring method (IMPs, none vul) 6 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. A plus sign indicates the best result.
© 2011 Richard Pavlicek
gained 33,494 IMPs versus the crazed 6 bid — which in raw score is well over 2 million points. Ouch! In practice the carnage would be even worse, as many of the failing 6 bids would be doubled.
iYaScPeLeJmRpRp
$T~~T$ Random Deals Random Solved Deals Symmetric Deals Combinations Every Bridge Hand Every Suit Layout Every Card Combination Every Suit Holding Bridge File Converter {2:
Total Trumps}
{T; Total Tricks
HCP,Cases,Avg % RBN 101 records = deals 100 full (c) rpbridge.net
W HBI1J1
Y 14
D 201101
T A Bid from Outer Space:Richard Pavlicek
L Simulation 8Z01
F Contracts 6cS 6dS
S #EI4 98765432
{This hand caused quite a sensation in the 2010 Spingold when an expert player made a brash anti-percentage bid that worked. Holding the South hand after East opens 3s with neither side vulnerable, slam is in the picture. Many players would consider a jump to 6c -- certainly a reasonable venture considering the limited options available. Amazingly, this player instead jumped to 6d and caught partner with s8-3 h9-7-4 dK-7-6-5 c9-8-6-4. Imagine the opposing team's furor when 6d was cold (diamonds split 3-2) and 6c had no play.}
{What would you bid?}
H S:.A32.AQ82.AKQ732
A EZ:3SY
{While 6d is obviously a shot in the dark, just how bad is it? Much has been said about its dubious merit, as well as the possibility that South may have had unauthorized information about the board. I am not here to pass judgment but thought it would be interesting to compare the two bids with a simulation.}
{f:For a simulation I created 10,000 random deals with the South hand fixed. East was constrained for an equal-vul 3s opening, or specifically: 6+ spades; 10 HCP max; fewer than 2 defensive tricks unless all in spades; 5.5 to 6.5 playing tricks with at least 4.5 in spades; at most 1 top heart honor (A-K-Q) or none if holding 4 hearts.}
{Results are shown below. Trick Average shows the average number of tricks won by declarer. Make Percent shows how often the contract is made (including with overtrick) and Overtrick Percent how often an overtrick is made. The second table compares the bids directly, with the better choice 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 declarer nonvul (green) then with declarer vul (red). Plus values show the net gain over 10,000 deals.}
{The results brought no surprises. For the pertinent scoring method (IMPs, none vul) 6c gained 33,494 IMPs versus the crazed 6d bid -- which in raw score is well over _2 million_ points. Ouch! In practice the carnage would be even worse, as many of the failing 6d bids would be doubled.}
W HD
{D;Results for 10,000 Deals
Contract Trick Average Make Percent Overtrick Percent
6c S 11.5770 59.07 21.98
6d S 10.5087 39.28 20.60}
{d;Comparison Net W-L Net Score
Net IMPs
6c S vs. 6d S +2999 +2350690 +33494 +3768490 +43075}
{3: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. A plus sign indicates the best result.}
B 1
H W:A63.KQJ9.6543.86:984.87654.K97.J9:KQJT752.T.JT.T54
I 6cS=B:6dS=B
B 2
H W:A3.QJ76.T643.984:KQ74.KT954.75.JT:JT98652.8.KJ9.65
I 6cS=C:6dS=A
B 3
H W:A87.KQJ4.T5.JT98:T43.T876.KJ964.6:KQJ9652.95.73.54
I 6cS=A:6dS=D
B 4
H W:J764.KQJ854.93.6:K3.T96.KT64.J985:AQT9852.7.J75.T4
I 6cS=C:6dS=C
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H W:K632.T876.JT3.T4:AQ.KQJ.975.J9865:JT98754.954.K64.
I 6cS=C:6dS=B
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H W:A42.JT854.T75.T6:Q98.KQ6.KJ64.854:KJT7653.97.93.J9
I 6cS=D:6dS=D
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I 6cS=9:6dS=8
X K1
B 11
H W:J93.QJT9.J76.T94:KT52.K7654.K.865:AQ8764.8.T9543.J
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B 12
H W:AQ5.KQT86.K63.T6:862.J95.T975.J95:KJT9743.74.J4.84
I 6cS=B:6dS=B
B 13
H W:AK5.Q85.K53.9864:Q94.K64.JT764.T5:JT87632.JT97.9.J
I 6cS=C:6dS=C
B 14
H W:K7.9874.J743.964:QJT4.KQT.65.JT85:A986532.J65.KT9.
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H W:K63.J984.KT4.J96:Q84.K765.J765.T4:AJT9752.QT.93.85
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X K1
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H W:J.KQT94.K63.T984:AQ85.75.JT954.65:KT976432.J86.7.J
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H W:T2.T75.J43.JT954:AQ83.Q986.KT976.:KJ97654.KJ4.5.86
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H W:K93.KJT94.K4.JT6:7542.Q875.J9753.:AQJT86.6.T6.9854
I 6cS=A:6dS=C
B 456
H W:Q7.JT97.K.JT8654:A962.K54.J9753.9:KJT8543.Q86.T64.
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B 1624
H W:AKT5.T76.K973.85:86.KQJ85.5.JT964:QJ97432.94.JT64.
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H W:5.KQT94.7.JT8654:KQJ62.8.JT96543.:AT98743.J765.K.9
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I 6cS=A:6dS=8
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I 6cS=C:6dS=A
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I 6cS=D:6dS=5
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I 6cS=9:6dS=A
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H W:Q92.98765.KJ43.9:J63.KQJ4.T76.T85:AKT8754.T.95.J64
I 6cS=C:6dS=9
X K1
B 9991
H W:7652.QT765..T864:AQ8.KJ94.KJ763.5:KJT943.8.T954.J9
I 6cS=C:6dS=D
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H W:J632.KQT964.J4.6:A74.7.KT97653.J8:KQT985.J85..T954
I 6cS=C:6dS=D
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I 6cS=C:6dS=B
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I 6cS=B:6dS=C
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I 6cS=C:6dS=C
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I 6cS=B:6dS=A
B 9999
H W:A43.JT954.63.865:K87.K76.KJ7.JT94:QJT9652.Q8.T954.
I 6cS=D:6dS=C
B 10000
H W:K863.QT8.654.T96:J2.KJ94.K93.J854:AQT9754.765.JT7.
I 6cS=D:6dS=C
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Contract Trick Average Make Percent Overtrick Percent
6 S11.5770 59.07 21.98
6 S10.5087 39.28 20.60
Comparison Net W-L Net Score Net IMPs Net Score Net IMPs
6 S vs. 6 S+2999 +2350690 +33494 +3768490 +43075 Actual Deals
1.
9 8 4 8 7 6 5 4 K 9 7 J 9
A 6 3 K Q J 9 6 5 4 3 8 6
K Q J 10 7 5 2 10 J 10 10 5 4
6 S → 11 +
6 S → 11 +
— A 3 2 A Q 8 2 A K Q 7 3 2
2.
K Q 7 4 K 10 9 5 4 7 5 J 10
A 3 Q J 7 6 10 6 4 3 9 8 4
J 10 9 8 6 5 2 8 K J 9 6 5
6 S → 12 +
6 S → 10
— A 3 2 A Q 8 2 A K Q 7 3 2
3.
10 4 3 10 8 7 6 K J 9 6 4 6
A 8 7 K Q J 4 10 5 J 10 9 8
K Q J 9 6 5 2 9 5 7 3 5 4
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
4.
K 3 10 9 6 K 10 6 4 J 9 8 5
J 7 6 4 K Q J 8 5 4 9 3 6
A Q 10 9 8 5 2 7 J 7 5 10 4
6 S → 12 +
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
5.
10 7 3 J 8 10 9 6 4 J 10 8 4
A 6 4 K Q 9 7 4 K J 5 3 6
K Q J 9 8 5 2 10 6 5 7 9 5
6 S → 10 +
6 S → 9
— A 3 2 A Q 8 2 A K Q 7 3 2
6.
9 8 6 4 K Q 5 K 4 J 10 8 4
A 5 2 J 10 9 8 7 6 4 9 6 3 —
K Q J 10 7 3 — J 10 7 5 9 6 5
6 S → 12 +
6 S → 7
— A 3 2 A Q 8 2 A K Q 7 3 2
7.
4 2 K 9 7 6 5 4 K 9 6 5 4
A J 10 7 5 J 10 8 10 6 3 J 9
K Q 9 8 6 3 Q J 7 5 4 10 8
6 S → 12 +
6 S → 10
— A 3 2 A Q 8 2 A K Q 7 3 2
8.
A Q K Q J 9 7 5 J 9 8 6 5
K 6 3 2 10 8 7 6 J 10 3 10 4
J 10 9 8 7 5 4 9 5 4 K 6 4 —
6 S → 12 +
6 S → 11
— A 3 2 A Q 8 2 A K Q 7 3 2
9.
Q 9 8 K Q 6 K J 6 4 8 5 4
A 4 2 J 10 8 5 4 10 7 5 10 6
K J 10 7 6 5 3 9 7 9 3 J 9
6 S → 13 +
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
10.
A 10 6 4 3 2 Q 10 7 6 10 9 10
— K 9 5 K J 5 4 3 J 9 8 6 5
K Q J 9 8 7 5 J 8 4 7 6 4
6 S → 9 +
6 S → 8
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
11.
K 10 5 2 K 7 6 5 4 K 8 6 5
J 9 3 Q J 10 9 J 7 6 10 9 4
A Q 8 7 6 4 8 10 9 5 4 3 J
6 S → 12 +
6 S → 8
— A 3 2 A Q 8 2 A K Q 7 3 2
12.
8 6 2 J 9 5 10 9 7 5 J 9 5
A Q 5 K Q 10 8 6 K 6 3 10 6
K J 10 9 7 4 3 7 4 J 4 8 4
6 S → 11 +
6 S → 11 +
— A 3 2 A Q 8 2 A K Q 7 3 2
13.
Q 9 4 K 6 4 J 10 7 6 4 10 5
A K 5 Q 8 5 K 5 3 9 8 6 4
J 10 8 7 6 3 2 J 10 9 7 9 J
6 S → 12 +
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
14.
Q J 10 4 K Q 10 6 5 J 10 8 5
K 7 9 8 7 4 J 7 4 3 9 6 4
A 9 8 6 5 3 2 J 6 5 K 10 9 —
6 S → 13 +
6 S → 9
— A 3 2 A Q 8 2 A K Q 7 3 2
15.
Q 8 4 K 7 6 5 J 7 6 5 10 4
K 6 3 J 9 8 4 K 10 4 J 9 6
A J 10 9 7 5 2 Q 10 9 3 8 5
6 S → 11
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
16.
A J 2 Q 8 7 5 4 K 6 10 9 4
10 8 7 K J 10 6 J 10 9 7 4 5
K Q 9 6 5 4 3 9 5 3 J 8 6
6 S → 12 +
6 S → 9
— A 3 2 A Q 8 2 A K Q 7 3 2
17.
9 3 Q 10 7 5 10 9 7 4 3 J 4
Q J 10 6 K 9 8 4 K 6 10 9 5
A K 8 7 5 4 2 J 6 J 5 8 6
6 S → 11
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
18.
K J 9 4 Q 10 7 6 K J 3 8 4
A 8 K J 8 5 4 10 9 7 6 4 5
Q 10 7 6 5 3 2 9 5 J 10 9 6
6 S → 11 +
6 S → 10
— A 3 2 A Q 8 2 A K Q 7 3 2
19.
8 5 4 3 Q J 8 J 6 4 J 10 4
A 9 6 K 9 7 6 5 4 K 10 7 3 —
K Q J 10 7 2 10 9 5 9 8 6 5
6 S → 10 +
6 S → 9
— A 3 2 A Q 8 2 A K Q 7 3 2
20.
K 8 5 K 10 9 6 J 9 7 5 9 4
J 10 3 Q J 8 7 6 3 J 10 8 6
A Q 9 7 6 4 2 5 4 K 10 4 5
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
145.
A Q 8 5 7 5 J 10 9 5 4 6 5
J K Q 10 9 4 K 6 3 10 9 8 4
K 10 9 7 6 4 3 2 J 8 6 7 J
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
247.
A Q 8 3 Q 9 8 6 K 10 9 7 6 —
10 2 10 7 5 J 4 3 J 10 9 5 4
K J 9 7 6 5 4 K J 4 5 8 6
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
301.
7 5 4 2 Q 8 7 5 J 9 7 5 3 —
K 9 3 K J 10 9 4 K 4 J 10 6
A Q J 10 8 6 6 10 6 9 8 5 4
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
456.
A 9 6 2 K 5 4 J 9 7 5 3 9
Q 7 J 10 9 7 K J 10 8 6 5 4
K J 10 8 5 4 3 Q 8 6 10 6 4 —
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
777.
J 10 6 K 10 4 J 10 9 7 6 5 3 —
A 3 2 Q 9 6 5 4 10 8 6 5 4
K Q 9 8 7 5 4 J 8 7 K J 9
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
896.
J 7 3 Q 10 9 8 7 5 10 10 9 6
K 10 4 2 K 4 K 9 6 4 J 8 4
A Q 9 8 6 5 J 6 J 7 5 3 5
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
1271.
K 8 2 J 8 7 6 4 7 J 6 5 4
10 6 4 K Q K J 10 9 6 5 4 10
A Q J 9 7 5 3 10 9 5 3 9 8
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
1624.
8 6 K Q J 8 5 5 J 10 9 6 4
A K 10 5 10 7 6 K 9 7 3 8 5
Q J 9 7 4 3 2 9 4 J 10 6 4 —
6 S → 13 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
1917.
K Q J 6 2 8 J 10 9 6 5 4 3 —
5 K Q 10 9 4 7 J 10 8 6 5 4
A 10 9 8 7 4 3 J 7 6 5 K 9
6 S → 8
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
1961.
K J 6 5 3 2 K Q 8 K 10 6 5 —
10 7 6 5 9 4 3 J 10 9 8 6 5
A Q 9 8 7 4 J 10 9 4 J 7 4
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
2137.
K Q 8 6 2 K 10 8 J 10 7 4 3 —
9 Q J 7 5 4 K 6 J 10 9 5 4
A J 10 7 5 4 3 9 6 9 5 8 6
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
2244.
K Q 4 K Q 10 9 7 K 7 5 4 3 —
10 9 5 8 6 5 9 J 10 9 8 6 4
A J 8 7 6 3 2 J 4 J 10 6 5
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
2465.
A Q 8 Q 8 7 6 K J 6 5 4 4
6 3 2 10 9 5 10 9 J 10 9 6 5
K J 10 9 7 5 4 K J 4 7 3 8
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
2717.
7 6 5 J 10 9 8 6 J 10 9 8 6
A Q J K Q 7 6 10 9 5 4 3 5
K 10 9 8 4 3 2 5 4 K J 7 4
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
2757.
A 7 6 J 10 6 4 — J 10 9 6 5 4
J 4 2 K 9 5 K J 10 7 5 3 8
K Q 10 9 8 5 3 Q 8 7 9 6 4 —
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
2876.
8 6 Q J 8 7 5 K J 10 6 4 6
Q 7 4 2 K 6 9 3 J 10 8 5 4
A K J 10 9 5 3 10 9 4 7 5 9
6 S → 9
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
2958.
K J 8 7 J 7 5 7 10 9 6 5 4
4 2 K 10 9 8 6 K J 9 5 4 3 —
A Q 10 9 6 5 3 Q 4 10 6 J 8
6 S → 12 +
6 S → 4
— A 3 2 A Q 8 2 A K Q 7 3 2
3017.
Q 9 2 J 10 9 8 6 5 — 9 8 6 4
K 5 4 Q K J 10 7 6 5 4 J 10
A J 10 8 7 6 3 K 7 4 9 3 5
6 S → 12 +
6 S → 4
— A 3 2 A Q 8 2 A K Q 7 3 2
3390.
K J 8 3 2 Q 6 J 9 7 6 4 9
A K 10 9 8 7 5 5 J 10 8 5 4
Q 10 9 7 6 5 4 J 4 K 10 3 6
6 S → 9
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
3421.
J 10 5 2 9 8 7 K J 10 7 5 3 —
A 6 K Q 5 4 4 J 10 9 8 6 4
K Q 9 8 7 4 3 J 10 6 9 6 5
6 S → 8
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
3514.
K Q J 10 10 4 J 10 7 5 4 3 10
6 5 K J 9 8 6 9 J 8 6 5 4
A 9 8 7 4 3 2 Q 7 5 K 6 9
6 S → 8
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
3614.
Q 10 8 5 Q 9 6 4 — 10 9 8 6 4
K 9 6 K 10 8 7 K J 9 4 3 5
A J 7 4 3 2 J 5 10 7 6 5 J
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
3668.
J 9 5 K 10 9 6 5 K 9 7 5 6
K 4 3 Q 8 7 6 3 J 10 9 8 4
A Q 10 8 7 6 2 J 4 J 10 4 5
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
3865.
Q 7 6 Q 8 5 10 J 10 9 6 5 4
K 9 8 3 K J 6 K J 9 7 6 5 —
A J 10 5 4 2 10 9 7 4 4 3 8
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
4026.
5 3 K Q J 10 9 7 5 4 10 10 6
A Q 10 4 8 6 K J 7 4 9 5 4
K J 9 8 7 6 2 — 9 6 5 3 J 8
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
4307.
7 3 K Q J 7 6 5 4 7 10 9 8
A J 8 4 2 8 K J 5 3 J 6 5
K Q 10 9 6 5 10 9 10 9 6 4 4
6 S → 13 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
4353.
Q J 8 5 3 2 K 4 6 J 10 8 6
— J 10 8 7 6 5 K 10 7 5 3 5 4
A K 10 9 7 6 4 Q 9 J 9 4 9
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
4555.
Q 9 6 4 Q 8 4 4 J 10 8 6 5
J 7 K J 10 9 5 K J 10 9 7 6 —
A K 10 8 5 3 2 7 6 5 3 9 4
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
4876.
K Q Q 8 7 4 K J 10 7 6 J 8
9 7 5 4 3 K J 10 9 6 5 — 10 9
A J 10 8 6 2 — 9 5 4 3 6 5 4
6 S → 8
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
5269.
A J 8 7 6 J 8 5 4 — J 10 5 4
3 K Q 10 6 K J 10 7 4 9 8 6
K Q 10 9 5 4 2 9 7 9 6 5 3 —
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
5306.
9 8 7 K J 10 7 4 K J 7 3 J
A J 4 2 Q 9 6 10 9 8 6 5 4
K Q 10 6 5 3 9 8 6 5 10 5 4 —
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
5364.
A 8 6 5 J 7 6 4 5 J 10 6 5
Q 9 4 K Q 10 9 8 5 K 10 7 8
K J 10 7 3 2 — J 9 6 4 3 9 4
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
5413.
A 8 3 Q 10 8 7 4 10 9 8 6 4
9 6 5 2 K 9 K 9 4 3 J 10 5
K Q J 10 7 4 J 6 5 J 7 6 5 —
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
5863.
2 K J 10 9 8 6 10 9 6 4 3 6
A Q J 8 5 7 7 J 10 9 8 5 4
K 10 9 7 6 4 3 Q 5 4 K J 5 —
6 S → 8
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
5926.
A 8 7 2 9 7 J 10 6 5 3 6 4
Q 10 K Q J 8 K 9 7 J 9 8 5
K J 9 6 5 4 3 10 6 5 4 4 10
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
6017.
J 4 2 K Q J 9 6 5 4 9 9 4
A K 9 10 7 K J 6 4 10 8 6 5
Q 10 8 7 6 5 3 8 10 7 5 3 J
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
6196.
J 8 K Q 9 7 6 5 J 5 9 8 6
A K 6 2 J 10 8 K 3 J 10 5 4
Q 10 9 7 5 4 3 4 10 9 7 6 4 —
6 S → 12 +
6 S → 4
— A 3 2 A Q 8 2 A K Q 7 3 2
6271.
K 7 2 Q J 9 8 7 6 5 5 J 10
J 8 6 3 K 10 K 9 7 6 4 3 4
A Q 10 9 5 4 4 J 10 9 8 6 5
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
6478.
K Q 9 7 4 10 9 10 J 10 9 5 4
8 3 K Q 8 4 K J 9 6 5 3 6
A J 10 6 5 2 J 7 6 5 7 4 8
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
6578.
10 6 5 4 3 Q J 10 9 7 6 5 6
A 9 K J 10 9 8 K 3 10 8 5 4
K Q J 8 7 2 7 6 5 4 4 J 9
6 S → 9
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
6858.
8 4 K 10 9 7 6 5 4 — J 8 6 4
A 10 9 7 Q K J 10 7 4 3 9 5
K Q J 6 5 3 2 J 8 9 6 5 10
6 S → 13 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
7179.
9 10 9 7 6 5 4 7 10 9 8 6 5
Q J 10 4 2 K J K J 10 6 4 J
A K 8 7 6 5 3 Q 8 9 5 3 4
6 S → 12 +
6 S → 4
— A 3 2 A Q 8 2 A K Q 7 3 2
7221.
8 6 4 2 K 9 7 6 3 10 9 8 5
K J Q J 10 5 4 K J 10 5 4 4
A Q 10 9 7 5 3 8 9 7 6 J 6
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
7482.
10 5 3 K 7 6 10 7 6 4 3 9 5
K J 8 Q J 10 5 K J J 8 6 4
A Q 9 7 6 4 2 9 8 4 9 5 10
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
7593.
Q 10 2 Q 10 9 8 K J 10 9 6 4 —
9 5 4 K J 5 4 3 J 10 9 5 4
A K J 8 7 6 3 7 6 7 5 8 6
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
7761.
A Q 5 2 10 9 6 K J 10 9 7 4 —
7 K J 8 7 5 4 3 J 9 6 5 4
K J 10 9 8 6 4 3 Q 6 5 10 8
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
7854.
8 5 2 Q 10 8 6 K 10 9 6 3 4
K 9 6 3 K J 9 7 5 4 — J 10 6
A Q J 10 7 4 — J 7 5 4 9 8 5
6 S → 7
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
7909.
J 8 7 Q 8 6 4 9 7 6 5 4 9
K 9 3 2 K J 10 7 5 K J 6 5
A Q 10 6 5 4 9 10 3 J 10 8 4
6 S → 9
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
8010.
A 5 2 K J 9 6 4 K J 10 5 3 —
J 10 6 Q 10 7 5 — J 10 9 8 5 4
K Q 9 8 7 4 3 8 9 7 6 4 6
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
8106.
9 7 5 4 J 10 8 4 — J 10 8 6 5
A 8 3 K 9 5 K 10 7 6 3 9 4
K Q J 10 6 2 Q 7 6 J 9 5 4 —
6 S → 12 +
6 S → 3
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
8229.
A J 6 4 2 9 K J 7 6 5 3 8
8 5 K Q 10 8 7 10 J 10 9 6 5
K Q 10 9 7 3 J 6 5 4 9 4 4
6 S → 10
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
8386.
K 10 6 J 8 5 4 10 J 10 6 5 4
J 8 7 4 K Q 10 7 K J 7 6 9
A Q 9 5 3 2 9 6 9 5 4 3 8
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
8388.
A K Q 9 7 5 10 9 5 7 9 6 5
— Q J 7 4 K J 10 9 6 5 3 10 8
J 10 8 6 4 3 2 K 8 6 4 J 4
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
8503.
A J 8 7 4 K J 10 7 6 5 4 3 —
9 7 4 2 K Q J 8 9 J 9 5 4
K Q 10 6 5 3 10 9 6 5 — 10 8 6
6 S → 9
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9014.
Q 10 K Q J 9 8 7 6 4 7 10 8
K 8 6 4 2 — K 10 9 5 9 6 5 4
A J 9 7 5 3 10 5 J 6 4 3 J
6 S → 13 +
6 S → 4
— A 3 2 A Q 8 2 A K Q 7 3 2
9130.
A J 10 2 10 7 6 10 J 10 8 6 4
5 3 Q J 9 8 5 K J 9 7 6 5 —
K Q 9 8 7 6 4 K 4 4 3 9 5
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
9203.
10 7 2 Q J 9 8 5 6 10 9 8 6
A 6 3 K 7 4 K 10 7 5 4 J 5
K Q J 9 8 5 4 10 6 J 9 3 4
6 S → 12 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
9212.
K 10 2 K 10 7 6 5 4 9 7 6 5 —
A 8 3 Q 8 J 10 4 J 10 9 8 5
Q J 9 7 6 5 4 J 9 K 3 6 4
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9228.
J 10 6 Q J 10 9 7 5 3 10 8 5
K 8 7 8 6 K J 10 9 6 5 4 J
A Q 9 5 4 3 2 K 4 7 9 6 4
6 S → 13 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
9751.
K 9 4 Q 8 7 5 9 7 6 4 3 9
A 7 6 K J 10 6 4 10 J 10 8 5
Q J 10 8 5 3 2 9 K J 5 6 4
6 S → 10
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
9981.
J 10 K Q 6 5 K J 6 4 10 9 8
Q 9 6 5 J 10 9 7 7 5 3 J 6
A K 8 7 4 3 2 8 4 10 9 5 4
6 S → 13 +
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9982.
A 10 7 6 3 K Q 7 6 4 9 7 9
5 J 10 5 K J 10 6 5 4 8 5 4
K Q J 9 8 4 2 9 8 3 J 10 6
6 S → 13 +
6 S → 10
— A 3 2 A Q 8 2 A K Q 7 3 2
9983.
J 10 5 Q J 7 4 10 6 3 9 5 4
A 8 4 K 9 6 K J 9 7 5 4 6
K Q 9 7 6 3 2 10 8 5 — J 10 8
6 S → 10 +
6 S → 8
— A 3 2 A Q 8 2 A K Q 7 3 2
9984.
A Q 10 K 10 6 5 4 9 J 6 5 4
9 3 2 Q J 9 8 K J 7 3 10 8
K J 8 7 6 5 4 7 10 6 5 4 9
6 S → 13 +
6 S → 7
— A 3 2 A Q 8 2 A K Q 7 3 2
9985.
8 6 Q J 5 4 J 10 4 10 9 6 5
A 9 7 5 2 K 7 K 9 7 6 3 8
K Q J 10 4 3 10 9 8 6 5 J 4
6 S → 11 +
6 S → 8
— A 3 2 A Q 8 2 A K Q 7 3 2
9986.
5 3 2 Q 9 5 9 5 4 3 10 6 4
K J 10 7 K 10 8 K J 10 7 6 J
A Q 9 8 6 4 J 7 6 4 — 9 8 5
6 S → 10 +
6 S → 8
— A 3 2 A Q 8 2 A K Q 7 3 2
9987.
J 7 5 3 K 10 9 6 10 9 6 6 4
Q 4 J 8 7 5 4 K J 3 J 10 5
A K 10 9 8 6 2 Q 7 5 4 9 8
6 S → 12 +
6 S → 10
— A 3 2 A Q 8 2 A K Q 7 3 2
9988.
4 2 K Q J 10 6 5 10 J 10 8 4
A J 10 7 9 8 4 K J 7 5 6 5
K Q 9 8 6 5 3 7 9 6 4 3 9
6 S → 13 +
6 S → 5
— A 3 2 A Q 8 2 A K Q 7 3 2
9989.
A 8 6 3 8 7 5 7 6 5 3 10 8
J 10 K J 10 9 6 J 10 9 4 J 4
K Q 9 7 5 4 2 Q 4 K 9 6 5
6 S → 9
6 S → 10 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9990.
J 6 3 K Q J 4 10 7 6 10 8 5
Q 9 2 9 8 7 6 5 K J 4 3 9
A K 10 8 7 5 4 10 9 5 J 6 4
6 S → 12 +
6 S → 9
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space
9991.
A Q 8 K J 9 4 K J 7 6 3 5
7 6 5 2 Q 10 7 6 5 — 10 8 6 4
K J 10 9 4 3 8 10 9 5 4 J 9
6 S → 12
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9992.
A 7 4 7 K 10 9 7 6 5 3 J 8
J 6 3 2 K Q 10 9 6 4 J 4 6
K Q 10 9 8 5 J 8 5 — 10 9 5 4
6 S → 12
6 S → 13 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9993.
K 7 3 9 8 4 K 7 6 3 J 8 6
A 6 K Q J 10 10 9 5 4 10 5 4
Q J 10 9 8 5 4 2 7 6 5 J 9
6 S → 12 +
6 S → 11
— A 3 2 A Q 8 2 A K Q 7 3 2
9994.
K 3 K Q J 10 7 K 9 6 9 5 4
A 5 2 9 8 6 4 10 5 4 3 J 8
Q J 10 9 8 7 6 4 5 J 7 10 6
6 S → 13 +
6 S → 12
— A 3 2 A Q 8 2 A K Q 7 3 2
9995.
J 8 5 2 K Q 8 7 J 9 6 3 9
K 9 9 5 4 K 7 5 J 10 8 6 5
A Q 10 7 6 4 3 J 10 6 10 4 4
6 S → 11
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9996.
A 6 3 9 8 6 K 9 3 J 10 6 5
Q 7 4 K 10 7 5 J 10 6 5 4 8
K J 10 9 8 5 2 Q J 4 7 9 4
6 S → 12 +
6 S → 9
— A 3 2 A Q 8 2 A K Q 7 3 2
9997.
Q 8 5 4 10 9 K J 10 4 9 8 5
9 6 K Q J 8 5 4 9 7 3 10 4
A K J 10 7 3 2 7 6 6 5 J 6
6 S → 12 +
6 S → 12 +
— A 3 2 A Q 8 2 A K Q 7 3 2
9998.
K J 9 7 K J 6 7 6 3 10 8 4
8 5 Q 10 8 7 4 K J 5 J 9 5
A Q 10 6 4 3 2 9 5 10 9 4 6
6 S → 11 +
6 S → 10
— A 3 2 A Q 8 2 A K Q 7 3 2
9999.
K 8 7 K 7 6 K J 7 J 10 9 4
A 4 3 J 10 9 5 4 6 3 8 6 5
Q J 10 9 6 5 2 Q 8 10 9 5 4 —
6 S → 13 +
6 S → 12
— A 3 2 A Q 8 2 A K Q 7 3 2
10000.
J 2 K J 9 4 K 9 3 J 8 5 4
K 8 6 3 Q 10 8 6 5 4 10 9 6
A Q 10 9 7 5 4 7 6 5 J 10 7 —
6 S → 13 +
6 S → 12
— A 3 2 A Q 8 2 A K Q 7 3 2Simulation 8Z01 Main Top A Bid from Outer Space