* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * S T A T I S T I C A L B L A C K J A C K A N A L Y Z E R * * Version 5.52, 1995-2003 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * **************************************************************************** Simulation started on (MM/DD/YY): 04-02-2006 at 23:15:06 Simulation finished on (MM/DD/YY): 04-02-2006 at 23:19:59 Random seed = 1234567890 * * * * * * * * * * * * * * * * * * * * R U L E S & C O N D I T I O N S * * * * * * * * * * * * * * * * * * * * 3 decks Shufflepoint 78 cards, (50.00% penetration) Face up game Head on game System used is HI-LO with basic strategy play SBA floors when calculating the true count Remaining decks estimated exactly for true count conversion European rules - no hole card game Surrender is not allowed Dealer stands on all 17 Doubling is allowed on any two cards Doubling is allowed after splitting Hand can be split 4 times, up to 5 hands Resplitting of aces is allowed Only one card to split aces Different tens can be split Insurance is 1 half of a bet Predefined variables: INSURANCE = 99 Buy insurance if true count >= INSURANCE H7710 = 99 Hit 7,7 versus dealer's 10 if true count < H7710 User defined variables: SH18A = 99 HD11A = 99 SDA86 = 99 SDA72 = 99 HD92 = 99 HD85 = 99 HD86 = 99 SDA62 = 99 SDA34 = 99 SDA24 = 99 SP9A = 99 SP38 = 99 SP62 =-99 SP23 =-99 SP78 = 99 SP67 = 99 SP44 = 99 SU169 =-99 SU17A =-99 HD1110 = 99 SP810 =-99 SP8A = 99 SPAA = 99 No leaving the shoe at any count Betting units are: 1.0, 1.0, 2.0, 4.0, 6.0, 8.0, 10.0 For corresponding AC: -1, 0, 1, 2, 3, 4, 5 Num. of hands played: 1, 1, 1, 1, 1, 1, 1 Player's bankroll is 400 Aim bankroll is 3000 **************************************************************************** * * * * * * * * * * * * * * * * * * * * * S I M U L A T I O N R E S U L T S * * * * * * * * * * * * * * * * * * * * * ---------------------------------------------------------------------------- COUNT STATISTICS (PRIMARY): TC PERCEN AC PERCEN ST. ERR. IBA ST. ERR. SDROUND ACTION -25 0.0000 -25 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 -24 0.0000 -24 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 -23 0.0000 -23 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 -22 0.0000 -22 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 -21 0.0000 -21 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 -20 0.0000 -20 0.00000 0.000001 -20.000 0.0000 0.0000 1.0000 -19 0.0000 -19 0.00000 0.000001 -20.000 0.0000 0.0000 1.0000 -18 0.0000 -18 0.00000 0.000002 -20.000 43.3013 0.8660 1.0000 -17 0.0000 -17 0.00002 0.000004 -11.111 27.0903 1.1493 1.1667 -16 0.0001 -16 0.00007 0.000008 -8.696 16.3632 1.3592 1.2754 -15 0.0002 -15 0.00021 0.000014 -19.903 9.0276 1.2957 1.2573 -14 0.0007 -14 0.00066 0.000026 -8.067 4.6634 1.1953 1.2100 -13 0.0024 -13 0.00242 0.000049 -11.166 2.4760 1.2175 1.1865 -12 0.0075 -12 0.00748 0.000086 -6.283 1.3986 1.2097 1.1817 -11 0.0191 -11 0.01906 0.000138 -7.148 0.8681 1.1984 1.1715 -10 0.0486 -10 0.04863 0.000220 -6.212 0.5406 1.1921 1.1667 -9 0.1127 -9 0.11272 0.000336 -5.252 0.3529 1.1848 1.1618 -8 0.2734 -8 0.27341 0.000522 -4.463 0.2251 1.1771 1.1542 -7 0.5444 -7 0.54445 0.000736 -3.735 0.1587 1.1712 1.1487 -6 1.1741 -6 1.17411 0.001077 -3.140 0.1075 1.1652 1.1431 -5 2.1005 -5 2.10053 0.001434 -2.886 0.0799 1.1584 1.1367 -4 4.2118 -4 4.21180 0.002009 -2.112 0.0562 1.1530 1.1317 -3 7.0415 -3 7.04153 0.002558 -1.545 0.0432 1.1465 1.1258 -2 13.6906 -2 13.69060 0.003437 -1.029 0.0308 1.1410 1.1209 -1 14.7453 -1 14.74525 0.003546 -0.562 0.0296 1.1364 1.1167 0 29.5678 0 29.56780 0.004563 -0.160 0.0208 1.1320 1.1126 1 12.2987 1 12.29867 0.003284 0.420 0.0321 1.1258 1.1071 2 6.4773 2 6.47734 0.002461 0.846 0.0440 1.1201 1.1023 3 3.7724 3 3.77237 0.001905 1.300 0.0574 1.1156 1.0983 4 1.9581 4 1.95808 0.001386 1.640 0.0794 1.1105 1.0937 5 1.0579 5 1.05793 0.001023 2.140 0.1076 1.1067 1.0900 6 0.4870 6 0.48698 0.000696 2.479 0.1579 1.1021 1.0864 7 0.2386 7 0.23864 0.000488 2.562 0.2247 1.0975 1.0812 8 0.1019 8 0.10194 0.000319 3.004 0.3426 1.0939 1.0781 9 0.0422 9 0.04224 0.000205 3.756 0.5307 1.0907 1.0741 10 0.0159 10 0.01590 0.000126 4.777 0.8612 1.0859 1.0735 11 0.0064 11 0.00639 0.000080 3.389 1.3489 1.0781 1.0686 12 0.0018 12 0.00180 0.000042 3.835 2.5308 1.0734 1.0645 13 0.0007 13 0.00072 0.000027 13.282 3.9744 1.0657 1.0584 14 0.0002 14 0.00017 0.000013 -0.599 8.4364 1.0902 1.0838 15 0.0000 15 0.00004 0.000006 -3.846 17.5210 1.0942 1.1026 16 0.0000 16 0.00002 0.000004 -5.556 26.3198 1.1167 1.0556 17 0.0000 17 0.00000 0.000002 20.000 27.2166 0.4714 1.0000 18 0.0000 18 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 19 0.0000 19 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 20 0.0000 20 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 21 0.0000 21 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 22 0.0000 22 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 23 0.0000 23 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 24 0.0000 24 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 25 0.0000 25 0.00000 0.000000 0.000 0.0000 0.0000 1.0000 ---------------------------------------------------------------------------- PRIMARY STATISTICS: Initial bet advantage (IBA): 0.40128%, St. Err. 0.016022% Total bets advantage (TBA): 0.36256% SCORE: 6.27 Risk of Ruin: 50.27% Estim. payoff per 100,000 rounds played is 729.83, with estim. std. 921.40 Average st. dev. per round: 2.91372 Av. std. per round per unit: 1.11509 Average bet per round: 1.81874 Average bet total: 2.01302 Insurance contribution: 0.00000% Insurance contrib. to TBA: 0.00000% Number of sessions won: 336 Number of sessions lost: 361 Total number of sessions: 697 Percentage of sessions won: 48.2066%, St. Err. 1.89267% Surplus bank: 1030.5 Number of shoes played: 6872740 Number of rounds played: 100000010 ---------------------------------------------------------------------------- SECONDARY STATISTICS: AC BLJACK PUSH HDOUBL SDOUBL SPLIT SURREN INSUR INSADV ACDIST -10 2.708 8.910 11.052 1.970 3.127 0.000 0.000 0.000 0.051 -9 3.040 8.859 10.702 1.930 3.056 0.000 0.000 0.000 0.118 -8 3.092 8.817 10.011 1.934 3.009 0.000 0.000 0.000 0.283 -7 3.342 8.874 9.690 1.886 2.868 0.000 0.000 0.000 0.561 -6 3.519 8.860 9.240 1.881 2.787 0.000 0.000 0.000 1.204 -5 3.729 8.894 8.756 1.845 2.702 0.000 0.000 0.000 2.142 -4 3.942 8.867 8.357 1.825 2.639 0.000 0.000 0.000 4.276 -3 4.181 8.881 7.918 1.797 2.548 0.000 0.000 0.000 7.112 -2 4.416 8.907 7.520 1.770 2.497 0.000 0.000 0.000 13.768 -1 4.628 8.931 7.187 1.744 2.453 0.000 0.000 0.000 14.773 0 4.836 8.960 6.885 1.704 2.404 0.000 0.000 0.000 29.516 1 5.124 8.985 6.449 1.664 2.341 0.000 0.000 0.000 12.215 2 5.357 9.032 6.069 1.626 2.296 0.000 0.000 0.000 6.406 3 5.599 9.075 5.751 1.585 2.268 0.000 0.000 0.000 3.717 4 5.845 9.096 5.430 1.538 2.196 0.000 0.000 0.000 1.921 5 6.110 9.158 5.132 1.503 2.169 0.000 0.000 0.000 1.035 6 6.346 9.251 4.817 1.466 2.174 0.000 0.000 0.000 0.475 7 6.750 9.293 4.451 1.371 2.129 0.000 0.000 0.000 0.231 8 7.077 9.315 4.157 1.402 2.090 0.000 0.000 0.000 0.099 9 7.392 9.334 4.041 1.324 1.904 0.000 0.000 0.000 0.041 10 7.252 9.471 3.824 1.281 2.094 0.000 0.000 0.000 0.015 CUMULATIVE FREQUENCY OF OCCURRENCE: Frequency of blackjack: 4.756% Frequency of pushing: 8.955% Frequency of hard doubling: 7.034% Frequency of soft doubling: 1.716% Frequency of splitting: 2.492% Frequency of insurance: 0.000% Insurance advantage: No insurance taken CORRELATION COEFFICIENTS: AC Correlation Coef. -10 N/A -9 N/A -8 N/A -7 N/A -6 N/A -5 N/A -4 N/A -3 N/A -2 N/A -1 N/A 0 N/A 1 N/A 2 N/A 3 N/A 4 N/A 5 N/A 6 N/A 7 N/A 8 N/A 9 N/A 10 N/A D E A L E R'S S T A T I S T I C S Up card 17 18 19 20 21 BJ Bust 2 13.9721 13.3954 13.0490 12.4022 11.8844 -- 35.2969 3 13.3744 13.0580 12.4978 12.1398 11.5306 -- 37.3995 4 13.0917 12.2437 12.1370 11.6542 11.2362 -- 39.6371 5 12.1693 12.2921 11.7602 11.0417 10.7573 -- 41.9795 6 16.6331 10.6193 10.6643 10.1534 9.7538 -- 42.1762 7 36.9380 13.8179 7.8559 7.8834 7.3674 -- 26.1374 8 12.9284 36.0237 12.9096 6.9075 6.9484 -- 24.2823 9 12.0841 11.4797 35.2235 12.0808 6.1051 -- 23.0267 10 11.2569 11.2068 11.2483 33.7141 3.5261 7.7487 21.2991 ace 12.9632 13.1234 13.0494 13.1043 5.3121 30.9031 11.5446 Distribution of the final number of cards in Dealer's hand: Cards: 2 3 4 5 6 7 8 9 10 Freq.: 45.9230 35.9821 14.8200 2.9218 0.3292 0.0229 0.0010 0.0000 0.0000 Distribution of cards drawn to Dealer's initial two cards: Card: 2 3 4 5 6 7 8 9 10 ace Freq.: 7.6044 7.6164 7.6296 7.6332 7.6646 7.7006 7.7145 7.7299 30.9791 7.7276