Main     Simulation 8Z07 by Richard Pavlicek    

Four Hearts Lead I

Suppose you're on lead against 4 H after the auction shown. Should you lead a trump? A diamond from jack-third? Or a club from jack-fourth? Your spade holding suggests a trump lead, as does the infamous "never-lead-from-a-jack school," but the only way to find a definitive answer is with a simulation.

E-W Vul
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
Table


West

Pass
Pass

North

1 NT1
4 H

East

Pass
All Pass

South
1 S
2 H
1. forcing

4 H South

Should West lead the H 2, D 2 or C 2?

To determine the best lead I created 10,000 random layouts with the West hand fixed, and the North-South hands constrained to fit the bidding: South points 13-16, spades 5+, hearts 4+, spades at least as long as hearts; North points 11-13, hearts 4-5, not 4+ spades. Further, to exclude deals where East would bid or double: East longest suit less than 7, longest suit less than 6 or playing half-tricks less than 12, longest suit less than 5 or playing half-tricks less than 14, longest suit less than 5 or half-tricks in that suit less than 8, points less than 13 or hearts less than 3 or spades 3+.

The following table summarizes the results. Numbers are relative to declarer, so lower values are better for the defense.

Results for 10,000 Deals
LeadTrick AvgMake PctTPs WonMPs WonIMPs Won
C 210.29782.58368260194348427
D 210.32183.00400690200949212
H 210.33583.77431710204729829

Results were close, but a trump lead ends up the loser at any form of scoring. Leading from the longer jack comes out on top. For an interesting followup see Four Hearts Lead II.

Below are 100 of the 10,000 deals, including the first 10 and last 10, and in-between only deals where the lead made a big difference. Analysis is based on double-dummy play. Running totals are shown after each deal.

Seed 99D488B3 10000 8
W:AJ32.32.J32.J432
#SR13-16s5h4s)hNR11-13s[4h4-5El[7l[6~Y[12l[5~Y[14l[5~ly[8R[13~h[3~s3
Leads H2 D2 C2 -- Result Avg Mk% TPs MPs IMPs

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

H2 = C 12.000 100 30 3 1
D2 = C 12.000 100 30 3 1
C2 = B 11.000 100 0 0 0


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

H2 = A 11.000 100 30 5 1
D2 = A 11.000 100 30 5 1
C2 = A 10.500 100 0 2 0


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

H2 = A 10.667 100 30 5 1
D2 = B 11.000 100 60 8 2
C2 = B 10.667 100 30 5 1


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

H2 = 9 10.250 75.00 30 7 1
D2 = 9 10.500 75.00 60 10 2
C2 = 9 10.250 75.00 30 7 1


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

H2 = A 10.200 80.00 30 9 1
D2 = A 10.400 80.00 60 12 2
C2 = A 10.200 80.00 30 9 1


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

H2 = A 10.167 83.33 30 9 1
D2 = B 10.500 83.33 90 15 3
C2 = B 10.333 83.33 60 12 2


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

H2 = B 10.286 85.71 30 11 1
D2 = B 10.571 85.71 90 17 3
C2 = B 10.429 85.71 60 14 2


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

H2 = A 10.250 87.50 30 13 1
D2 = A 10.500 87.50 90 19 3
C2 = A 10.375 87.50 60 16 2


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

H2 = 9 10.111 77.78 30 14 1
D2 = 9 10.333 77.78 90 20 3
C2 = A 10.333 88.89 1000 20 22


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

H2 = A 10.100 80.00 30 16 1
D2 = A 10.300 80.00 90 22 3
C2 = A 10.300 90.00 1000 22 22


TopMain

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

H2 = A 10.263 84.21 560 36 13
D2 = 9 10.316 78.95 150 39 5
C2 = A 10.316 89.47 1470 39 32


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

H2 = A 10.333 85.71 1030 41 23
D2 = A 10.381 80.95 620 44 15
C2 = 9 10.333 85.71 1470 41 32


22.
S K 8
H K J 7 5
D Q 10 6
C K 9 7 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 9
H 8 6 4
D K 9 7 5 4
C A Q 10
S Q 7 6 5 4
H A Q 10 9
D A 8
C 8 6

H2 = A 10.318 86.36 1500 44 33
D2 = A 10.364 81.82 1090 47 25
C2 = 9 10.273 81.82 1470 41 32


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

H2 = A 10.387 87.10 2000 63 44
D2 = A 10.419 83.87 1620 66 37
C2 = 9 10.323 80.65 1500 57 33


36.
S K
H Q 10 8 5
D K Q 7 6 5
C K 7 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 8 7
H A 7 4
D A 10 9 4
C 10 9 6
S Q 9 6 5 4
H K J 9 6
D 8
C A Q 8

H2 = 9 10.194 77.78 2000 69 44
D2 = A 10.278 77.78 2150 78 49
C2 = A 10.194 75.00 2070 69 47


41.
S 4
H K J 7 6
D K Q 9 8 4
C Q 9 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 10 7
H 10 5 4
D A 10 7 6
C A 10 7
S Q 9 8 6 5
H A Q 9 8
D 5
C K 8 6

H2 = 9 10.098 73.17 2000 78 44
D2 = 9 10.171 73.17 2150 87 49
C2 = A 10.122 73.17 3010 81 67


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

H2 = 9 10.138 80.00 2030 123 45
D2 = A 10.231 81.54 2810 141 66
C2 = A 10.154 81.54 3480 126 77


68.
S 6
H A J 10 4
D 8 6
C K 10 8 7 6 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 8 4
H Q 9 8
D K Q 9 7 5
C A 9
S K Q 10 7 5
H K 7 6 5
D A 10 4
C Q

H2 = A 10.132 79.41 2500 128 55
D2 = 9 10.221 79.41 2840 146 67
C2 = A 10.162 80.88 3980 134 88


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

H2 = 9 10.116 78.26 2500 129 55
D2 = 9 10.203 78.26 2840 147 67
C2 = A 10.159 81.16 4920 138 108


84.
S Q
H K Q 7 6 5
D Q 5 4
C K 9 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 6 5
H 9 4
D A K 10 7
C Q 10 8 5
S K 10 9 7 4
H A J 10 8
D 9 8 6
C A

H2 = A 10.155 79.76 3060 161 68
D2 = 9 10.202 78.57 2870 173 68
C2 = A 10.190 82.14 5450 170 120


TopMain

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

H2 = B 10.161 79.31 3560 168 79
D2 = B 10.207 78.16 3370 180 79
C2 = 9 10.172 80.46 5450 174 120


103.
S 7
H K 10 7 4
D A 8 7 6 4
C Q 10 8
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 10 6
H 9 6 5
D Q 10 9
C A K 9 6
S Q 9 8 5 4
H A Q J 8
D K 5
C 7 5

H2 = 9 10.146 76.70 3690 198 84
D2 = A 10.214 76.70 4090 219 98
C2 = A 10.146 78.64 5920 201 130


106.
S 10 8
H J 8 7 5
D A K Q 10 7
C 10 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 5
H K 10 6
D 9 8 6
C A Q 9 8 5
S K 9 7 6 4
H A Q 9 4
D 5 4
C K 6

H2 = A 10.132 76.42 4160 205 94
D2 = A 10.198 76.42 4560 226 108
C2 = 9 10.123 77.36 5920 205 130


109.
S 9 8
H A J 6 5
D 7 5 4
C A Q 10 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 4
H Q 9 8
D K 10 9 8 6
C K 9 5
S Q 10 7 6 5
H K 10 7 4
D A Q
C 8 6

H2 = A 10.147 77.06 4690 213 106
D2 = 9 10.183 76.15 4560 228 108
C2 = A 10.138 77.98 6450 213 142


111.
S 8 5 4
H J 9 8 4
D A Q 5 4
C A 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 7
H Q 6 5
D K 10 8 6
C K 10 9 7 6
S K Q 10 9 6
H A K 10 7
D 9 7
C Q 8

H2 = A 10.144 77.48 5630 219 126
D2 = 9 10.171 75.68 4560 231 108
C2 = 9 10.126 77.48 6450 216 142


130.
S 8
H A Q 7 4
D Q 10 7 6 5 4
C 9 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 7 6
H K 9 5
D A K 8
C K 8 7 6
S K Q 10 5 4
H J 10 8 6
D 9
C A Q 10

H2 = 9 10.192 78.46 5780 256 131
D2 = A 10.223 77.69 5210 274 124
C2 = A 10.169 79.23 7010 250 155


136.
S 9 7
H Q 10 8 4
D K 10 7 5
C A Q 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8
H J 9 7
D A Q 9 8 6
C K 10 9 8
S K Q 10 6 5 4
H A K 6 5
D 4
C 6 5

H2 = A 10.199 78.68 6780 270 153
D2 = 9 10.221 77.21 5270 285 126
C2 = 9 10.169 78.68 7070 261 157


139.
S 5
H K Q 6 4
D 10 9 7
C A 9 8 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 9 6
H 10 9 7
D A K 6
C K Q 10 5
S K Q 8 7 4
H A J 8 5
D Q 8 5 4
C

H2 = 9 10.194 78.42 6780 275 153
D2 = A 10.223 77.70 6210 293 146
C2 = 9 10.165 78.42 7070 266 157


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

H2 = A 10.190 78.87 7250 282 163
D2 = A 10.218 78.17 6680 300 156
C2 = 9 10.155 78.17 7070 270 157


147.
S 9 6
H A K 10 8
D K Q 9 6
C 9 8 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 7
H Q 5
D 10 8 7 5 4
C A Q 10 6
S Q 10 8 5 4
H J 9 7 6 4
D A
C K 7

H2 = B 10.204 78.91 7810 295 176
D2 = B 10.231 78.23 7240 313 169
C2 = 9 10.143 77.55 7070 274 157


TopMain

148.
S 9 8
H A 7 5 4
D K 8 6 4
C K 10 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 4
H Q 9 6
D Q 10 5
C A 9 8 7 6
S K 10 7 6 5
H K J 10 8
D A 9 7
C Q

H2 = A 10.203 79.05 8280 298 186
D2 = 9 10.223 77.70 7240 313 169
C2 = A 10.142 77.70 7540 277 167


150.
S 10
H A Q J 10 4
D K 10 6 5
C 8 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 7 6
H K 7
D 9 8 7 4
C A K 10 9
S K Q 8 5 4
H 9 8 6 5
D A Q
C Q 5

H2 = 9 10.193 78.67 8280 301 186
D2 = A 10.220 78.00 8180 319 189
C2 = 9 10.133 77.33 7540 280 167


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

H2 = A 10.201 79.22 9270 310 207
D2 = 8 10.221 77.92 8240 327 191
C2 = 9 10.136 77.27 7590 287 169


159.
S 8
H Q 10 6 4
D K 8 6
C A 10 8 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 10 7
H 9 8 5
D A 9 7 5
C K 9 5
S K 9 6 5 4
H A K J 7
D Q 10 4
C Q

H2 = 9 10.195 78.62 9270 318 207
D2 = A 10.220 77.99 8710 338 201
C2 = A 10.138 77.36 8060 298 179


163.
S Q 9 8
H Q 8 7 6
D A 10 8 5
C K 10
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 6
H J 9 4
D K Q 9 6
C A 8 7 6 5
S K 10 7 5 4
H A K 10 5
D 7 4
C Q 9

H2 = A 10.190 79.14 10210 328 227
D2 = 9 10.209 77.91 8710 345 201
C2 = 9 10.129 77.30 8060 305 179


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

H2 = 9 10.220 79.66 10330 357 231
D2 = 9 10.232 78.53 8800 371 204
C2 = A 10.164 78.53 9090 334 202


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

H2 = A 10.219 79.78 11300 372 252
D2 = 9 10.219 78.14 8800 380 204
C2 = 9 10.158 78.14 9120 346 203


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

H2 = 9 10.246 80.30 11480 414 258
D2 = B 10.256 79.31 10010 425 233
C2 = 9 10.172 78.82 9150 379 204


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

H2 = A 10.223 79.15 12000 431 270
D2 = 9 10.227 77.73 10060 439 235
C2 = A 10.152 77.73 9680 396 216


217.
S 9 8 5
H J 10 7 4
D A Q 10
C A 9 8
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 4
H Q 6 5
D K 9 8 7 6
C K 10 6 5
S K Q 10 7 6
H A K 9 8
D 5 4
C Q 7

H2 = A 10.230 79.26 12530 445 282
D2 = A 10.235 77.88 10590 453 247
C2 = 9 10.147 77.42 9680 404 216


TopMain

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

H2 = A 10.211 78.51 13030 469 293
D2 = 9 10.211 76.75 10620 474 248
C2 = A 10.127 76.75 10150 425 226


234.
S 7 5
H Q 10 6 4
D K Q 10 7 6
C A 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 9
H K 9 8
D A 8 5
C Q 10 9 8 5
S K 10 8 6 4
H A J 7 5
D 9 4
C K 7

H2 = A 10.205 78.63 13500 480 303
D2 = 9 10.205 76.50 10650 485 249
C2 = A 10.128 76.92 10650 439 237


239.
S 4
H Q 10 9 5
D Q 10 6 5 4
C A Q 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 9 6
H A 6 4
D K 9 8
C K 10 7 5
S K 10 8 7 5
H K J 8 7
D A 7
C 9 8

H2 = 9 10.213 78.66 13530 490 304
D2 = A 10.218 76.99 11620 498 270
C2 = 9 10.134 76.99 10650 446 237


246.
S 4
H Q 10 8 6 5
D A Q 6 5 4
C 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 9 6
H K J
D K 10 9 8 7
C A Q 5
S K 10 8 7 5
H A 9 7 4
D
C K 10 9 8

H2 = 9 10.199 78.05 13530 500 304
D2 = A 10.211 76.83 12120 514 281
C2 = A 10.130 76.83 11150 462 248


249.
S 7 6
H 10 7 5 4
D A K Q 10 9
C 8 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 5
H K J 6
D 7 5 4
C A 10 9 6 5
S K 10 9 8 4
H A Q 9 8
D 8 6
C K Q

H2 = A 10.201 78.31 14000 507 314
D2 = A 10.213 77.11 12590 521 291
C2 = 9 10.129 76.71 11150 466 248


264.
S 9
H Q 10 7 4
D A 10 7 6 4
C K Q 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 7 6 5
H A K 8
D K 8
C 10 9 8 6 5
S K Q 10 8 4
H J 9 6 5
D Q 9 5
C A

H2 = A 10.231 79.55 14530 539 326
D2 = 9 10.239 78.03 12680 550 294
C2 = A 10.159 78.03 11650 495 259


287.
S K 7 5
H A 9 6 4
D Q 9 7
C Q 9 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 4
H K J 10
D K 10 8 5 4
C K 8 7 5
S Q 10 9 8 6
H Q 8 7 5
D A 6
C A 10

H2 = A 10.237 80.14 15060 584 338
D2 = 9 10.244 78.40 12770 595 297
C2 = A 10.174 78.75 12210 543 272


293.
S Q 8
H 9 8 7 5
D A Q 9 7
C K 10 9
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 9
H A J 4
D 10 8 6 5 4
C A 8 6
S K 7 6 5 4
H K Q 10 6
D K
C Q 7 5

H2 = A 10.242 80.55 16000 598 358
D2 = 9 10.246 78.50 12770 606 297
C2 = 9 10.177 78.84 12210 554 272


297.
S 10 5
H J 10 5 4
D A Q 9 5
C A 9 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9
H A 7 6
D 10 8 7 6 4
C K Q 10 6
S K Q 8 7 6 4
H K Q 9 8
D K
C 8 7

H2 = A 10.246 80.47 16590 610 372
D2 = A 10.246 78.45 13300 615 309
C2 = 9 10.168 78.45 12210 557 272


303.
S Q 7 6
H A 10 8 6
D K Q 8 6
C 10 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 5
H 7 5 4
D A 10 9 7 5
C A Q 9 6
S K 10 9 8 4
H K Q J 9
D 4
C K 8 5

H2 = A 10.248 80.53 17590 625 394
D2 = 9 10.238 78.22 13300 624 309
C2 = 9 10.168 78.22 12270 569 274


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316.
S 7 6 5
H 7 6 5 4
D A Q 8 5
C A 8
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10
H A 9 8
D K 10 7 6 4
C Q 7 6 5
S K Q 9 8 4
H K Q J 10
D 9
C K 10 9

H2 = A 10.269 81.01 18590 650 416
D2 = 9 10.259 78.48 13450 649 314
C2 = 9 10.196 78.48 12420 597 279


317.
S Q
H Q J 5 4
D K 10 9 8 7 4
C A 9
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 9 6
H A 10 7
D A Q 6
C 8 7 6 5
S K 8 7 5 4
H K 9 8 6
D 5
C K Q 10

H2 = 9 10.265 80.76 18590 650 416
D2 = A 10.259 78.55 13920 652 324
C2 = A 10.196 78.55 12890 600 289


322.
S 8 6 4
H K 9 8 7
D A 9 6
C A Q 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 5
H A J 4
D 10 7 5 4
C K 10 8 6 5
S K Q 10 9 7
H Q 10 6 5
D K Q 8
C 9

H2 = A 10.264 81.06 19060 659 426
D2 = A 10.261 78.88 14420 664 335
C2 = 9 10.196 78.57 12920 609 290


329.
S Q 5
H K Q 10 6
D Q 9
C A 9 8 6 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 8
H J 9 8
D 10 8 7 6 5 4
C K Q
S 10 9 7 6 4
H A 7 5 4
D A K
C 10 7

H2 = A 10.267 81.16 19560 672 437
D2 = 9 10.261 78.72 14480 674 337
C2 = A 10.207 78.72 13540 628 305


334.
S K 8 7
H A 7 6 4
D K 10 9 7
C Q 9
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 5
H J 9 5
D Q 8 6 5 4
C A K 10 8
S Q 10 9 6 4
H K Q 10 8
D A
C 7 6 5

H2 = A 10.266 81.44 20500 684 457
D2 = 9 10.257 78.74 14480 683 337
C2 = 9 10.204 78.74 13540 637 305


337.
S 5
H A Q 6 4
D K Q 10 4
C 10 7 6 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 10 6
H K 9 5
D 9 8 7 5
C A Q 9
S K 9 8 7 4
H J 10 8 7
D A 6
C K 8

H2 = 9 10.264 81.31 20560 690 459
D2 = A 10.255 78.93 14950 689 347
C2 = A 10.202 78.93 14010 643 315


342.
S 9
H K 7 5 4
D Q 8 5
C K Q 9 8 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 7 6
H 8 6
D A K 10 4
C A 10 7 6
S K Q 10 5 4
H A Q J 10 9
D 9 7 6
C

H2 = 9 10.260 81.29 20560 697 459
D2 = 9 10.254 78.95 14980 699 348
C2 = A 10.205 79.24 14980 656 336


343.
S 10 6
H A K 9 6 5
D Q 7 6 4
C 9 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 4
H 8 4
D A K 9 5
C K Q 10 8 5
S K Q 8 7 5
H Q J 10 7
D 10 8
C A 7

H2 = A 10.259 81.34 21500 701 479
D2 = 9 10.251 78.72 14980 700 348
C2 = 9 10.201 79.01 14980 657 336


351.
S
H Q 8 6 4
D K 7 6 5
C K Q 9 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 8 7 6
H 9 5
D A Q 10 4
C A 10 8
S K 10 9 5 4
H A K J 10 7
D 9 8
C 5

H2 = A 10.256 81.77 21970 717 489
D2 = 9 10.248 78.92 15040 716 350
C2 = A 10.199 79.49 15450 673 346


366.
S 5 4
H A J 7 6 5
D K 7 4
C Q 10 9
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 8
H K 4
D A Q 9 8 5
C 8 7 6 5
S K Q 9 7 6
H Q 10 9 8
D 10 6
C A K

H2 = 9 10.262 81.69 22030 748 491
D2 = 9 10.251 78.96 15070 744 351
C2 = A 10.208 79.78 16420 704 367


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367.
S Q
H 10 7 6 5
D A 10 6
C K Q 10 8 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 6 5 4
H A K 9
D K 9 8 7
C 9 7 5
S K 10 9 8 7
H Q J 8 4
D Q 5 4
C A

H2 = A 10.262 81.74 22500 751 501
D2 = 9 10.248 78.75 15070 744 351
C2 = A 10.207 79.84 16890 707 377


379.
S 10 4
H K 9 6 4
D K 10 7 6
C K Q 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 8
H J 10 7
D A Q 8 5
C 9 8 6 5
S K 9 7 6 5
H A Q 8 5
D 9 4
C A 10

H2 = A 10.269 82.06 23530 780 524
D2 = 9 10.245 78.89 15070 761 351
C2 = 9 10.214 79.95 16980 733 380


428.
S 6
H K 10 5 4
D A Q 8 7 5
C Q 7 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 9 7
H Q J 8
D K 9 4
C K 10 8 6
S Q 10 8 5 4
H A 9 7 6
D 10 6
C A 9

H2 = 9 10.290 83.18 23680 876 529
D2 = A 10.273 80.61 16220 863 378
C2 = 9 10.241 81.31 17160 829 386


432.
S K 9 4
H K 9 8 7
D K 10 9 6
C K 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 5
H J 10 6
D A Q 8 7
C Q 10 8 7 6
S Q 10 8 7 6
H A Q 5 4
D 5 4
C A 9

H2 = A 10.292 83.33 24150 885 539
D2 = 9 10.273 80.56 16220 869 378
C2 = A 10.243 81.48 17630 838 396


437.
S 5 4
H J 9 8 6
D A K 9 6
C Q 8 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 7
H A 10 4
D Q 10 8 7
C K 10 9 6
S K Q 9 8 6
H K Q 7 5
D 5 4
C A 5

H2 = A 10.295 83.52 24620 896 549
D2 = A 10.277 80.78 16690 880 388
C2 = 9 10.245 81.46 17630 846 396


463.
S 8
H A J 7 6
D Q 6 4
C A 10 9 8 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 9 5
H K Q 9
D K 10 9 8 5
C 7 5
S K 10 7 6 4
H 10 8 5 4
D A 7
C K Q

H2 = A 10.300 82.94 25210 951 563
D2 = 9 10.274 80.13 16720 923 389
C2 = A 10.255 80.99 18250 904 411


468.
S 10 8
H Q J 8 5
D K 9 7 6
C A Q 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 5
H A 6 4
D A Q 8 4
C 10 9 8 5
S K Q 7 6 4
H K 10 9 7
D 10 5
C K 6

H2 = 9 10.297 82.69 25210 960 563
D2 = 9 10.271 79.91 16720 932 389
C2 = A 10.254 80.98 19190 916 431


481.
S 10 6
H A Q J 8
D Q 10 6 5
C Q 10 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 5
H 9 6 5
D K 9 7 4
C A K 9 8
S K Q 8 7 4
H K 10 7 4
D A 8
C 7 5

H2 = 9 10.289 82.74 25210 984 563
D2 = A 10.266 80.25 17660 959 409
C2 = 9 10.249 81.08 19250 943 433


488.
S 10
H K J 8 7 5
D K 10 7 6
C A 9 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 7 6
H A Q
D 9 8 5 4
C K Q 8 6
S K Q 8 5 4
H 10 9 6 4
D A Q
C 10 7

H2 = 9 10.285 82.38 25240 997 564
D2 = A 10.262 80.12 18600 972 429
C2 = 9 10.248 80.74 19340 959 436


493.
S 7 6
H Q 10 9 4
D Q 10 9 4
C A Q 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 4
H A 7 5
D A 8 6 5
C K 9 8 7
S K Q 9 8 5
H K J 8 6
D K 7
C 10 6

H2 = 9 10.282 82.35 25300 1008 566
D2 = A 10.260 80.32 19540 983 449
C2 = 9 10.243 80.73 19340 967 436


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500.
S K 6 5
H Q 8 7 6
D A Q 8
C 10 8 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 7
H K 10 4
D K 9 7 6 4
C A 9 6 5
S Q 10 9 8 4
H A J 9 5
D 10 5
C K Q

H2 = A 10.290 82.60 26270 1025 587
D2 = 9 10.266 80.40 19570 997 450
C2 = 9 10.248 80.80 19340 978 436


502.
S 10 6
H Q 10 8 6
D K 9 4
C A 10 8 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 7
H K J 4
D Q 8 7 6 5
C K 9 6
S K 9 8 5 4
H A 9 7 5
D A 10
C Q 5

H2 = 9 10.287 82.47 26270 1026 587
D2 = A 10.267 80.48 20540 1004 471
C2 = 9 10.247 80.68 19370 982 437


512.
S K 10
H J 8 7 4
D 9 8 7 4
C A Q 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 7
H 10 9 6
D A K 5
C K 10 9 8 6
S Q 8 6 5 4
H A K Q 5
D Q 10 6
C 7

H2 = A 10.291 82.62 26800 1047 599
D2 = A 10.273 80.66 21130 1028 485
C2 = 9 10.246 80.66 19370 997 437


516.
S 9 6
H A 10 8 5
D A 10 8 5 4
C 6 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 5
H J 9 6
D K Q 9 7 6
C A 9 7
S K 10 8 7 4
H K Q 7 4
D
C K Q 10 8

H2 = A 10.289 82.56 27740 1057 619
D2 = 9 10.269 80.43 21130 1035 485
C2 = 9 10.242 80.43 19370 1004 437


524.
S K 9
H Q J 8 7
D 9 8 7
C A 10 9 8
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 8
H K 10 6
D K Q 10 5 4
C K 6 5
S Q 7 6 5 4
H A 9 5 4
D A 6
C Q 7

H2 = A 10.292 82.82 28240 1073 630
D2 = 9 10.273 80.53 21250 1051 489
C2 = A 10.246 80.73 19870 1020 448


540.
S
H A Q 10 6
D Q 9 7 5 4
C Q 9 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 7 5
H J 5 4
D K 8 6
C A K 8 5
S Q 10 9 8 6 4
H K 9 8 7
D A 10
C 10

H2 = 9 10.291 82.96 28240 1098 630
D2 = B 10.280 80.93 21840 1086 503
C2 = A 10.254 81.11 20500 1056 464


553.
S 4
H A J 8 4
D 9 7 4
C A Q 10 7 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 8 5
H 6 5
D A K Q 6
C K 9 8 6
S K Q 9 7 6
H K Q 10 9 7
D 10 8 5
C

H2 = A 10.289 82.82 28770 1126 642
D2 = 9 10.277 80.65 21900 1112 505
C2 = B 10.251 81.01 21030 1080 476


556.
S Q
H 10 7 6 4
D A K Q 6
C 10 8 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 6 4
H Q 8 5
D 9 8 5 4
C A K Q
S K 10 8 7 5
H A K J 9
D 10 7
C 9 5

H2 = B 10.290 82.91 29270 1133 653
D2 = B 10.277 80.76 22400 1119 516
C2 = 9 10.248 80.94 21030 1084 476


570.
S 10
H Q J 10 8
D Q 9 8 4
C A Q 8 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 6 5
H A 6 4
D A 10 5
C K 9 7 5
S K Q 8 7 4
H K 9 7 5
D K 7 6
C 10

H2 = 9 10.298 83.16 29270 1160 653
D2 = A 10.288 81.23 23340 1149 536
C2 = 9 10.258 81.23 21030 1111 476


582.
S Q 7 4
H K J 9 8 4
D K 8 7
C Q 8
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8
H Q 7
D A 9 6 5 4
C A 10 7 6 5
S K 10 9 6 5
H A 10 6 5
D Q 10
C K 9

H2 = A 10.301 83.33 30240 1187 674
D2 = 9 10.289 81.27 23370 1173 537
C2 = 9 10.258 81.27 21030 1132 476


TopMain

583.
S 9
H 10 8 7 5
D A K 6 5
C Q 8 7 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 6 4
H K Q 4
D 10 9 8 7
C A 10 5
S Q 10 8 7 5
H A J 9 6
D Q 4
C K 9

H2 = 9 10.298 83.19 30240 1187 674
D2 = A 10.288 81.30 23840 1176 547
C2 = A 10.257 81.30 21500 1135 486


586.
S 7
H A J 9 6
D Q 10 9 8 5
C Q 8 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 9 6
H 10 5 4
D A K
C K 10 9 7 5
S Q 10 8 5 4
H K Q 8 7
D 7 6 4
C A

H2 = A 10.300 83.28 30710 1194 684
D2 = 9 10.288 81.23 23840 1180 547
C2 = A 10.259 81.40 21970 1142 496


587.
S
H 9 8 7 5
D A Q 7 6 4
C K 10 7 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 10 8 5
H A J 10
D 10 8 5
C A Q 8
S K 9 7 6 4
H K Q 6 4
D K 9
C 9 6

H2 = A 10.300 83.30 31180 1197 694
D2 = 9 10.286 81.09 23840 1180 547
C2 = A 10.259 81.43 22440 1145 506


604.
S 10 5
H A J 8 5 4
D Q 7 5
C K 10 8
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K
H 9 6
D K 10 8 6 4
C A 9 7 6 5
S Q 9 8 7 6 4
H K Q 10 7
D A 9
C Q

H2 = A 10.305 83.44 31770 1233 708
D2 = 9 10.286 81.13 23900 1210 549
C2 = A 10.265 81.62 23090 1181 522


605.
S
H A Q 10 5
D Q 9 8 7 5 4
C 10 9 7
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS K Q 8
H J 8 7
D A K 10 6
C Q 8 5
S 10 9 7 6 5 4
H K 9 6 4
D
C A K 6

H2 = 9 10.302 83.31 31770 1233 708
D2 = A 10.286 81.16 24370 1213 559
C2 = A 10.264 81.65 23560 1184 532


630.
S 5
H A Q 10 6
D K 9 8 7 4
C 8 6 5
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 8 4
H K 8 4
D A 10 5
C K Q 9 7
S K Q 9 7 6
H J 9 7 5
D Q 6
C A 10

H2 = 9 10.308 83.49 31890 1282 712
D2 = A 10.298 81.59 25580 1272 588
C2 = 9 10.268 81.90 23590 1226 533


637.
S 10 6
H Q 10 5 4
D Q 6 4
C A K 9 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 5
H J 9 7
D K 10 9 8
C Q 8 7 5
S K 9 8 7 4
H A K 8 6
D A 7 5
C 10

H2 = A 10.312 83.67 32450 1299 725
D2 = 9 10.298 81.63 25580 1280 588
C2 = A 10.273 82.10 24150 1243 546


674.
S 5
H 10 9 6 5 4
D K 10 9 6
C A K 10
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 4
H K Q
D A Q 8 7
C 9 8 7 6 5
S K Q 9 8 7 6
H A J 8 7
D 5 4
C Q

H2 = A 10.318 83.83 33130 1371 742
D2 = 9 10.306 81.75 25850 1355 597
C2 = A 10.282 82.34 24860 1318 564


684.
S 6
H K 7 6 5
D A K 7 5 4
C 9 8 6
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 9 7
H A 10 8
D Q 10 9 6
C A 10 7 5
S K Q 10 8 5 4
H Q J 9 4
D 8
C K Q

H2 = A 10.314 83.77 33630 1393 753
D2 = A 10.301 81.73 26320 1374 607
C2 = 9 10.278 82.16 24890 1337 565


686.
S 10 7
H Q 10 7 6
D K Q 6
C A 10 9 8
S A J 3 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8
H J 8 5
D A 10 9 4
C K Q 7 6 5
S K Q 9 6 5 4
H A K 9 4
D 8 7 5
C

H2 = A 10.315 83.82 34100 1398 763
D2 = 9 10.300 81.63 26320 1376 607
C2 = A 10.278 82.22 25360 1342 575


TopMain

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

H2 = B 10.335 83.77 431180 20452 9817
D2 = A 10.321 82.99 399720 20077 9191
C2 = A 10.296 82.57 367760 19417 8416


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

H2 = C 10.335 83.77 431210 20455 9818
D2 = C 10.321 83.00 399750 20080 9192
C2 = B 10.297 82.58 367760 19417 8416


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

H2 = A 10.335 83.77 431680 20458 9828
D2 = 9 10.321 82.99 399750 20080 9192
C2 = A 10.297 82.58 368230 19420 8426


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

H2 = A 10.335 83.77 431680 20460 9828
D2 = A 10.321 82.99 399750 20082 9192
C2 = A 10.296 82.58 368230 19422 8426


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

H2 = C 10.335 83.77 431680 20462 9828
D2 = C 10.321 82.99 399750 20084 9192
C2 = C 10.297 82.58 368230 19424 8426


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

H2 = 9 10.335 83.76 431680 20463 9828
D2 = A 10.321 82.99 400690 20088 9212
C2 = 9 10.297 82.57 368230 19425 8426


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

H2 = B 10.335 83.77 431710 20466 9829
D2 = A 10.321 82.99 400690 20088 9212
C2 = B 10.297 82.57 368260 19428 8427


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

H2 = A 10.335 83.77 431710 20468 9829
D2 = A 10.321 83.00 400690 20090 9212
C2 = A 10.297 82.58 368260 19430 8427


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

H2 = B 10.335 83.77 431710 20470 9829
D2 = B 10.321 83.00 400690 20092 9212
C2 = B 10.297 82.58 368260 19432 8427


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

H2 = A 10.335 83.77 431710 20472 9829
D2 = A 10.321 83.00 400690 20094 9212
C2 = A 10.297 82.58 368260 19434 8427

TopMain

© 2016 Richard Pavlicek