* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 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 2.20, 1995-96 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * ****************************************************************************** Simulation started on (MM/DD/YY): 12-01-1996 at 16:31:27 Simulation finished on (MM/DD/YY): 12-01-1996 at 16:52:18 Random seed = 2100000000 * * * * * * * * * * * * * * * * * * * * R U L E S & C O N D I T I O N S * * * * * * * * * * * * * * * * * * * * 6 decks Shufflepoint is 250 cards Head on game System used is HI-LO with playing tables SBA rounds when calculating the true count Face up game American rules - 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 3 times, up to 4 hands No resplit of aces Only one card to split aces Different tens can be split Insurance is 1 half of a bet Betting units are: 1.0, 2.0, 4.0, 6.0, 8.0 For corresponding AC: 1, 2, 3, 4, 5 Num. of hands played: 1, 1, 1, 1, 1 Players bankroll is 50 Aim bankroll is 100 Do not leave the shoe at any count ****************************************************************************** * * * * * * * * * * * * * * * * * * * * * S I M U L A T I O N R E S U L T S * * * * * * * * * * * * * * * * * * * * * ------------------------------------------------------------------------------ COUNT STATISTICS: TC PERCEN AC PERCEN ST.ERR. ADVANT ST.ERR. SDROUND -40 0.0000 -40.00 0.00000 0.000000 0.000 0.0000 0.0000 -39 0.0000 -39.00 0.00000 0.000000 0.000 0.0000 0.0000 -38 0.0000 -38.00 0.00000 0.000000 0.000 0.0000 0.0000 -37 0.0000 -37.00 0.00000 0.000000 0.000 0.0000 0.0000 -36 0.0000 -36.00 0.00000 0.000000 0.000 0.0000 0.0000 -35 0.0000 -35.00 0.00000 0.000000 0.000 0.0000 0.0000 -34 0.0000 -34.00 0.00000 0.000000 0.000 0.0000 0.0000 -33 0.0000 -33.00 0.00000 0.000000 0.000 0.0000 0.0000 -32 0.0000 -32.00 0.00000 0.000000 0.000 0.0000 0.0000 -31 0.0000 -31.00 0.00000 0.000000 0.000 0.0000 0.0000 -30 0.0000 -30.00 0.00000 0.000000 0.000 0.0000 0.0000 -29 0.0000 -29.00 0.00000 0.000000 0.000 0.0000 0.0000 -28 0.0000 -28.00 0.00000 0.000000 0.000 0.0000 0.0000 -27 0.0000 -27.00 0.00000 0.000000 0.000 0.0000 0.0000 -26 0.0000 -26.00 0.00000 0.000000 0.000 0.0000 0.0000 -25 0.0000 -25.00 0.00000 0.000000 0.000 0.0000 0.0000 -24 0.0000 -24.00 0.00000 0.000002 0.000 0.0000 0.0000 -23 0.0000 -23.00 0.00000 0.000002 0.000 0.0000 0.0000 -22 0.0000 -22.00 0.00001 0.000005 0.000 43.8178 0.9798 -21 0.0000 -21.00 0.00003 0.000008 0.000 24.3252 0.8771 -20 0.0001 -20.00 0.00008 0.000013 0.000 19.1602 1.1335 -19 0.0002 -19.00 0.00020 0.000021 0.000 11.6073 1.0950 -18 0.0005 -18.00 0.00054 0.000035 0.000 6.6774 1.0409 -17 0.0011 -17.00 0.00106 0.000049 0.000 5.0383 1.0981 -16 0.0023 -16.00 0.00228 0.000071 -8.717 3.2796 1.0479 -15 0.0051 -15.00 0.00508 0.000107 -5.888 2.2490 1.0729 -14 0.0099 -14.00 0.00988 0.000149 -4.659 1.5876 1.0557 -13 0.0186 -13.00 0.01859 0.000204 -4.926 1.1425 1.0424 -12 0.0352 -12.00 0.03516 0.000280 -5.356 0.8377 1.0509 -11 0.0715 -11.00 0.07154 0.000400 -6.097 0.5887 1.0535 -10 0.1215 -10.00 0.12149 0.000521 -4.779 0.4607 1.0744 -9 0.2134 -9.00 0.21345 0.000690 -4.043 0.3522 1.0886 -8 0.3756 -8.00 0.37561 0.000914 -4.015 0.2662 1.0915 -7 0.5956 -7.00 0.59556 0.001150 -3.888 0.2132 1.1007 -6 1.1196 -6.00 1.11958 0.001573 -3.039 0.1572 1.1131 -5 1.7918 -5.00 1.79182 0.001983 -2.633 0.1255 1.1241 -4 3.0584 -4.00 3.05837 0.002574 -2.256 0.0978 1.1448 -3 5.1320 -3.00 5.13202 0.003298 -1.997 0.0757 1.1475 -2 9.0216 -2.00 9.02159 0.004282 -1.327 0.0573 1.1520 -1 16.5021 -1.00 16.50214 0.005548 -0.892 0.0426 1.1565 0 25.1904 0.00 25.19037 0.006488 -0.358 0.0346 1.1619 1 15.7643 1.00 15.76428 0.005446 0.136 0.0439 1.1662 2 8.7399 2.00 8.73987 0.004221 0.739 0.0589 1.1644 3 4.9739 3.00 4.97390 0.003249 1.239 0.0782 1.1671 4 2.9880 4.00 2.98796 0.002545 1.944 0.1022 1.1819 5 1.7559 5.00 1.75589 0.001963 2.188 0.1347 1.1947 6 1.0906 6.00 1.09062 0.001552 2.918 0.1737 1.2136 7 0.5804 7.00 0.58042 0.001135 3.884 0.2409 1.2277 8 0.3690 8.00 0.36898 0.000906 3.935 0.3032 1.2321 9 0.2097 9.00 0.20972 0.000684 4.294 0.4039 1.2376 10 0.1202 10.00 0.12018 0.000518 6.319 0.5327 1.2356 11 0.0693 11.00 0.06928 0.000393 6.603 0.7050 1.2416 12 0.0346 12.00 0.03464 0.000278 7.828 0.9899 1.2328 13 0.0187 13.00 0.01869 0.000204 6.667 1.3556 1.2402 14 0.0100 14.00 0.01003 0.000150 9.161 1.8322 1.2280 15 0.0049 15.00 0.00485 0.000104 6.765 2.5888 1.2068 16 0.0023 16.00 0.00227 0.000071 10.974 3.8738 1.2348 17 0.0011 17.00 0.00107 0.000049 0.000 5.4098 1.1828 18 0.0005 18.00 0.00052 0.000034 0.000 7.5989 1.1649 19 0.0002 19.00 0.00022 0.000022 0.000 11.5129 1.1455 20 0.0001 20.00 0.00009 0.000014 0.000 16.7133 1.0570 21 0.0000 21.00 0.00003 0.000008 0.000 26.8596 0.9684 22 0.0000 22.00 0.00001 0.000004 0.000 21.6506 0.4330 23 0.0000 23.00 0.00001 0.000004 0.000 129.8147 2.2485 24 0.0000 24.00 0.00000 0.000000 0.000 0.0000 0.0000 25 0.0000 25.00 0.00000 0.000000 0.000 0.0000 0.0000 26 0.0000 26.00 0.00000 0.000000 0.000 0.0000 0.0000 27 0.0000 27.00 0.00000 0.000000 0.000 0.0000 0.0000 28 0.0000 28.00 0.00000 0.000000 0.000 0.0000 0.0000 29 0.0000 29.00 0.00000 0.000000 0.000 0.0000 0.0000 30 0.0000 30.00 0.00000 0.000000 0.000 0.0000 0.0000 31 0.0000 31.00 0.00000 0.000000 0.000 0.0000 0.0000 32 0.0000 32.00 0.00000 0.000000 0.000 0.0000 0.0000 33 0.0000 33.00 0.00000 0.000000 0.000 0.0000 0.0000 34 0.0000 34.00 0.00000 0.000000 0.000 0.0000 0.0000 35 0.0000 35.00 0.00000 0.000000 0.000 0.0000 0.0000 36 0.0000 36.00 0.00000 0.000000 0.000 0.0000 0.0000 37 0.0000 37.00 0.00000 0.000000 0.000 0.0000 0.0000 38 0.0000 38.00 0.00000 0.000000 0.000 0.0000 0.0000 39 0.0000 39.00 0.00000 0.000000 0.000 0.0000 0.0000 40 0.0000 40.00 0.00000 0.000000 0.000 0.0000 0.0000 ------------------------------------------------------------------------------ MAIN STATISTICS: Number of winnings: 69209 Number of losses: 60259 Number of sessions: 129468 Sessions won: 53.4565%, St.Err. 0.138627% Initial bet advantage: 0.68189%, St.Err. 0.025299% Advantage per total bets: 0.58638% Estim. payoff per 100,000 rounds played is 1148.81, with estim. std. 901.60 Average st.dev. per round: 2.85111 Av. std. per round per unit: 1.18976 Average bet per round: 1.684741 Average bet total: 1.959137 Surplus bank: 66775.5 Insurance contribution: 0.06784% Insurance contrib. to ATB: 0.05090% Number of shoes played: 1000000 Number of dropouts: 0 Percentage of dropouts: 0.0000%, St.Err. 0.00000% Number of rounds played: 44766078 ------------------------------------------------------------------------------ ADDITIONAL STATISTICS: AC BLJACK PUSH HDOUBL SDOUBL SPLIT SURREN INSUR INSADV ACDIST -10 2.695 9.686 5.831 0.435 1.935 0.000 0.000 0.000 0.115 -9 2.845 9.661 6.437 0.548 1.999 0.000 0.000 0.000 0.204 -8 3.070 9.472 6.283 0.657 2.101 0.000 0.000 0.000 0.359 -7 3.224 9.342 6.695 0.777 2.202 0.000 0.000 0.000 0.573 -6 3.418 9.267 6.958 0.933 2.597 0.000 0.000 0.000 1.086 -5 3.575 9.155 7.446 1.023 2.650 0.000 0.000 0.000 1.749 -4 3.798 9.119 8.754 1.177 2.651 0.000 0.000 0.000 3.025 -3 4.044 9.088 8.726 1.255 2.683 0.000 0.000 0.000 5.080 -2 4.264 9.137 8.673 1.454 2.782 0.000 0.000 0.000 8.951 -1 4.503 9.065 8.719 1.624 2.747 0.000 0.000 0.000 16.400 0 4.744 8.932 8.737 1.865 2.734 0.000 0.000 0.000 25.089 1 4.944 8.938 8.735 2.173 2.690 0.000 0.000 0.000 15.737 2 5.208 8.970 8.586 2.160 2.633 0.000 0.427 -0.867 8.723 3 5.462 9.024 8.622 2.322 2.662 0.000 4.690 0.463 5.068 4 5.692 9.023 9.301 2.403 3.295 0.000 7.875 2.082 3.126 5 6.005 9.017 8.762 2.502 4.640 0.000 8.537 3.794 1.860 6 6.274 8.944 8.361 2.601 6.107 0.000 8.811 6.044 1.171 7 6.514 9.049 8.111 2.626 7.108 0.000 9.068 6.842 0.629 8 6.689 9.068 7.742 2.720 7.721 0.000 9.213 8.483 0.402 9 6.970 9.043 7.166 2.687 8.553 0.000 9.406 11.120 0.229 10 7.325 9.123 6.878 2.683 8.858 0.000 9.812 16.045 0.132 11 7.767 9.024 6.383 2.585 9.097 0.000 9.827 12.500 0.076 12 8.176 9.134 5.980 2.456 9.075 0.000 10.207 16.551 0.038 13 8.436 9.635 5.242 2.342 10.107 0.000 9.870 26.392 0.020 14 8.103 9.177 5.615 2.093 9.600 0.000 10.574 23.789 0.011 15 8.974 9.632 5.915 2.239 8.196 0.000 9.986 25.806 0.005 16 9.252 8.524 4.394 2.548 10.721 0.000 9.449 12.500 0.002 17 11.506 11.429 3.810 1.524 8.952 0.000 11.715 33.929 0.001 18 13.191 15.810 4.348 1.976 7.115 0.000 10.638 -16.000 0.001 19 13.131 10.476 1.905 0.952 5.714 0.000 13.131 15.385 0.000 20 7.500 6.818 4.545 2.273 9.091 0.000 10.000 125.000 0.000 TC INSUR INSADV ST.ERR. 3 7.175 0.222 0.177 4 7.136 2.627 0.230 5 7.151 5.344 0.302 6 7.316 6.574 0.380 7 7.441 5.923 0.516 8 7.662 12.381 0.645 9 7.848 12.296 0.846 10 7.883 14.383 1.119 11 7.751 17.804 1.494 12 8.034 22.311 2.088 13 8.448 22.631 2.773 14 8.727 27.041 3.743 15 7.823 14.706 5.591 16 9.350 13.684 7.466 17 7.322 37.143 12.631 18 11.064 -7.692 13.577 19 6.061 100.000 28.868 20 15.000 50.000 30.619 Percentage of blackjack: 4.740% Percentage of pushing: 9.017% Percentage of hard doubling: 8.627% Percentage of soft doubling: 1.837% Percentage of splitting: 2.954% Percentage of insurance: 0.884% Insurance advantage: 4.197% AC Corr.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 11 N/A 12 N/A 13 N/A 14 N/A 15 N/A 16 N/A 17 N/A 18 N/A 19 N/A 20 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 14.0095 13.4397 13.0220 12.3856 11.8319 -- 35.3113 3 13.4585 13.0449 12.5772 12.0543 11.4892 -- 37.3758 4 13.0564 12.4068 12.1224 11.6610 11.1597 -- 39.5937 5 12.2115 12.2513 11.7393 11.2099 10.7942 -- 41.7937 6 16.6113 10.6071 10.6546 10.1635 9.7142 -- 42.2493 7 36.9376 13.7898 7.8323 7.8880 7.3773 -- 26.1750 8 12.8813 35.9718 12.8986 6.9351 6.9469 -- 24.3663 9 12.0411 11.7416 35.1383 12.0512 6.1023 -- 22.9255 10 11.2074 11.1623 11.2076 33.9756 3.4744 7.7224 21.2503 ace 13.0076 13.0960 13.0534 13.0982 5.3683 30.8409 11.5356