-------------------------------------------------------------------------- Blackjack Audit, version 1.5 ============================ This Blackjack simulation report was produced by Blackjack Audit from DeepNet Technologies. We have a complete line of Blackjack training and simulation software for Palm OS, Pocket PC, and Windows. web: www.deepnettech.com e-mail: info@deepnettech.com -------------------------------------------------------------------------- Simulation Report ================= System settings: Count system: High-Low Action table: Multi3: D8, DAS, s17, DblAny Index set: High-Low: Multi3 Casino settings number of decks: 8 allow double after splits: yes (DAS) dealer hits soft 17: no (S17) penetration: 3/4 of shoe allow resplitting of aces: yes restrict doubling to: any hand allow late surrender: no (noSUR) Simulation settings: unit bet size: 5 random seed: 1234 take insurance when Count System says to: yes use index values in Index set: yes using betting levels defined in count system true count calculation: conservative number of players at table: 1 position of counter: 1 betting spread: ============================ Final simulation statistics: ============================ Expectation[1]: 0.5201% ** Note: win/loss amounts account for the unit bet size of 5 ** Note: only hands at the counter's position are included in any statistics ** See the online help for details on any of these statistics Simulation started: Sun Dec 23 16:55:55 2001 Simulation ended: Sun Dec 23 18:18:43 2001 # rounds played: 1000000190 # shoes played: 17369576 # of player hands (at counter's position): 1028556362 # hands (dealer + all player): 2028556552 Average rounds/shoe: 57.57 Average hands/shoe (including dealer): 116.79 Average player hands/shoe (at counter's position): 59.22 Total of all wagers: $11347226430.00 Average total wagers/round: $11.35 Average wager/hand: $11.03 Winnings (or loss): $59019400.00 Standard deviation (per betting event[2], unit bet[4]): 3.356 Standard deviation (per round[3], unit bet[4]): 3.442 average win or loss (per betting event[2], unit bet[4]): 0.0114 average win or loss (per round[3], unit bet[4]): 0.0118 Maximum total loss of $2415 in round 9752 Best winnings for one shoe at round 348832155: $1620 Biggest loss for one shoe at round 273691030: $1560 Insurance contributions: Expectation contribution from insurance: 0.0315% # times insurance offered: 76930957 # times insurance accepted: 3898752 # times insurance won: 1347490 # times insurance lost: 2551262 Frequency of play combinations (in percent)[5]: total # of plays: 1354610694 Hand 2 3 4 5 6 7 8 9 T A ==================================================================== 8 0.16 0.16 0.16 0.16 0.16 0.16 0.15 0.15 0.56 0.10 9 0.24 0.25 0.25 0.25 0.25 0.24 0.23 0.23 0.85 0.16 10 0.26 0.27 0.27 0.27 0.27 0.26 0.25 0.25 0.92 0.17 11 0.35 0.35 0.34 0.35 0.34 0.35 0.34 0.34 1.24 0.23 12 0.60 0.60 0.58 0.57 0.57 0.61 0.58 0.59 2.22 0.43 13 0.66 0.65 0.62 0.59 0.59 0.67 0.64 0.66 2.46 0.47 14 0.59 0.57 0.51 0.50 0.51 0.62 0.63 0.64 2.41 0.46 15 0.61 0.59 0.53 0.50 0.51 0.68 0.68 0.70 2.62 0.50 16 0.54 0.52 0.46 0.45 0.44 0.65 0.66 0.68 2.54 0.49 soft 13 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.07 0.25 0.05 soft 14 0.08 0.08 0.08 0.08 0.07 0.08 0.07 0.07 0.27 0.05 soft 15 0.08 0.08 0.08 0.08 0.07 0.08 0.08 0.08 0.30 0.05 soft 15 0.09 0.09 0.09 0.08 0.08 0.09 0.09 0.09 0.33 0.06 soft 17 0.10 0.10 0.09 0.08 0.08 0.10 0.10 0.10 0.37 0.07 soft 18 0.12 0.11 0.10 0.09 0.09 0.12 0.11 0.11 0.41 0.07 soft 19 0.12 0.12 0.10 0.09 0.08 0.12 0.12 0.13 0.47 0.08 soft 20 0.12 0.11 0.09 0.08 0.08 0.12 0.12 0.13 0.47 0.08 AA 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.04 0.14 0.02 22 0.03 0.04 0.04 0.04 0.04 0.04 0.03 0.03 0.12 0.02 33 0.04 0.04 0.04 0.04 0.04 0.04 0.03 0.03 0.12 0.02 44 0.03 0.03 0.03 0.04 0.04 0.03 0.03 0.03 0.12 0.02 55 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.03 0.12 0.02 66 0.04 0.04 0.04 0.04 0.03 0.03 0.03 0.03 0.12 0.02 77 0.04 0.04 0.04 0.04 0.04 0.03 0.03 0.03 0.12 0.02 88 0.04 0.04 0.04 0.04 0.04 0.04 0.03 0.04 0.14 0.03 99 0.04 0.04 0.04 0.04 0.04 0.03 0.04 0.03 0.12 0.02 TT 0.54 0.54 0.54 0.54 0.54 0.54 0.54 0.54 1.95 0.37 <8 0.29 0.30 0.30 0.32 0.32 0.31 0.28 0.28 1.04 0.19 >16 1.61 1.48 1.28 1.19 1.23 2.53 2.53 2.63 9.65 2.01 ============================== Count system details: High-Low ============================== Count type: true count card: 2 3 4 5 6 7 8 9 10 A == == == == == == == == == == card values: 1 1 1 1 1 0 0 0 -1 -1 data for 1 deck(s): Initial Run Count (IRC): 0 Insure at count = 1.5 [>=count, bet]: [0, 2], [1, 3] data for 2 deck(s): Initial Run Count (IRC): 0 Insure at count = 2.5 [>=count, bet]: [-1, 1], [0, 2], [1, 4] data for 4 deck(s): Initial Run Count (IRC): 0 Insure at count = 3 [>=count, bet]: [1, 2], [2, 3], [3, 5] data for 6 deck(s): Initial Run Count (IRC): 0 Insure at count = 3 [>=count, bet]: [1, 2], [2, 4], [3, 8] data for 8 deck(s): Initial Run Count (IRC): 0 Insure at count = 3 [>=count, bet]: [1, 3], [2, 5], [3, 10] ================================================== Action table details: Multi3: D8, DAS, s17, DblAny ================================================== Hand 2 3 4 5 6 7 8 9 T A ======================== 8: H H H H H H H H H H 9: H D D D D H H H H H 10: D D D D D D D D H H 11: D D D D D D D D D H 12: H H S S S H H H H H 13: S S S S S H H H H H 14: S S S S S H H H H H 15: S S S S S H H H H H 16: S S S S S H H H H H A2: H H H D D H H H H H A3: H H H D D H H H H H A4: H H D D D H H H H H A5: H H D D D H H H H H A6: H D D D D H H H H H A7: S D D D D S S H H H A8: S S S S S S S S S S A9: S S S S S S S S S S AA: P P P P P P P P P P 22: P P P P P P H H H H 33: P P P P P P H H H H 44: H H H P P H H H H H 55: D D D D D D D D H H 66: P P P P P H H H H H 77: P P P P P P H H H H 88: P P P P P P P P P P 99: P P P P P S P P S S TT: S S S S S S S S S S =================================== Index set details: High-Low: Multi3 =================================== Hand 2 3 4 5 6 7 8 9 T A ======================================================================================================== 8: c>=9:D c>=5:D c>=3:D c>=1:D 9: c>=1:D c<0:H c<-2:H c<-4:H c<-6:H c>=3:D c>=7:D 10: c<-8:H c<-9:H c<-10:H c<-6:H c<-4:H c<-1:H c>=4:D c>=4:D 11: c<-9:H c<-6:H c<-4:H c<-4:H c>=1:D 12: c>=3:S c>=2:S c<0:H c<-1:H c<0:H 13: c<0:H c<-1:H c<-3:H c<-4:H c<-4:H 14: c<-3:H c<-4:H c<-6:H c<-7:H c<-7:H 15: c<-5:H c<-6:H c<-7:H c<-9:H c<-9:H c>=10:S c>=10:S c>=8:S c>=4:S c>=10:S 16: c<-8:H c<-10:H c>=9:S c>=7:S c>=5:S c>=0:S c>=8:S A2: c>=7:D c>=3:D c<0:H c<-1:H A3: c>=7:D c>=1:D c<-1:H c<-4:H A4: c>=7:D c<0:H c<-4:H c<-9:H A5: c>=4:D c<-2:H c<-6:H A6: c>=1:D c<-3:H c<-7:H c<-10:H A7: c>=0:D c<-2:S c<-6:S c<-8:S c<-10:S c>=1:S A8: c>=8:D c>=5:D c>=3:D c>=1:D c>=1:D A9: c>=10:D c>=8:D c>=6:D c>=5:D c>=4:D AA: c<-9:H c<-8:H c<-7:H c<-8:H c<-3:H 22: c<-3:H c<-5:H c<-7:H c<-9:H c>=5:P 33: c<0:H c<-4:H c<-7:H c<-9:H c>=4:P 44: c>=8:P c>=3:P c<-1:H c<-4:H 55: c<-8:H c<-9:H c<-10:H c<-6:H c<-4:H c<-1:H c>=4:D c>=4:D 66: c<-1:H c<-4:H c<-6:H c<-8:H c<-10:H 77: c<-9:H c>=5:P 88: c>=8:S 99: c<-2:S c<-3:S c<-5:S c<-6:S c<-6:S c>=3:P c<-8:S c<-9:S c>=3:P TT: c>=8:P c>=6:P c>=5:P c>=4:P Expectation per player hand (initial two cards for round only)[6]: Hand 2 3 4 5 6 7 8 9 T A ==================================================================================================================== 8: Action: H H H H H H H H H H Index: -- c>=9:D c>=5:D c>=3:D c>=1:D -- -- -- -- -- # rounds: 1811144 1808981 1838146 1808161 1809122 1837670 1835205 1834502 6770415 1268652 # hands: 1811144 1808981 1838146 1808161 1809122 1837670 1835205 1834502 6770415 1268652 % idx plays: -- 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.181% 0.181% 0.184% 0.181% 0.181% 0.184% 0.184% 0.183% 0.677% 0.127% Avg. WL/R: -0.0287 0.1006 0.2339 0.4103 0.5527 0.3418 -0.2165 -0.8024 -0.9797 -0.7404 Avg. WL/H: -0.823% 2.871% 6.195% 9.019% 9.831% 9.398% -5.952% -22.035% -25.957% -19.896% 9: Action: H D D D D H H H H H Index: c>=1:D c<0:H c<-2:H c<-4:H c<-6:H c>=3:D c>=7:D -- -- -- # rounds: 2731809 2728550 2727086 2725404 2725286 2723152 2753820 2752250 10155527 1901470 # hands: 2731809 2728550 2727086 2725404 2725286 2723152 2753820 2752250 10155527 1901470 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- Freq.: 0.273% 0.273% 0.273% 0.273% 0.273% 0.272% 0.275% 0.275% 1.016% 0.190% Avg. WL/R: 0.4201 0.6257 0.8740 1.1108 1.3392 0.7323 0.4109 -0.1873 -0.6020 -0.2274 Avg. WL/H: 7.367% 9.863% 12.620% 15.738% 18.923% 15.413% 11.004% -5.077% -15.720% -6.031% 10: Action: D D D D D D D D H H Index: c<-8:H c<-9:H c<-10:H -- -- c<-6:H c<-4:H c<-1:H c>=4:D c>=4:D # rounds: 2727591 2730509 2727216 2753672 2724772 2725864 2724969 2751360 10149770 1900613 # hands: 2727591 2730509 2727216 2753672 2724772 2725864 2724969 2751360 10149770 1900613 % idx plays: 0.000% 0.000% 0.000% -- -- 0.000% 0.000% 0.000% 0.000% 0.000% Freq.: 0.273% 0.273% 0.273% 0.275% 0.272% 0.273% 0.272% 0.275% 1.015% 0.190% Avg. WL/R: 1.4852 1.6800 1.8932 2.0949 2.2918 1.6781 1.2536 0.6927 0.1343 0.4043 Avg. WL/H: 20.680% 23.386% 26.355% 29.166% 31.930% 22.419% 16.807% 9.773% 3.062% 9.415% 11: Action: D D D D D D D D D H Index: -- -- -- -- -- c<-9:H c<-6:H c<-4:H c<-4:H c>=1:D # rounds: 3645752 3645372 3646097 3644086 3640691 3640963 3639200 3643835 13528638 2535467 # hands: 3645752 3645372 3646097 3644086 3640691 3640963 3639200 3643835 13528638 2535467 % idx plays: -- -- -- -- -- 0.000% 0.000% 0.000% 0.000% 0.000% Freq.: 0.365% 0.365% 0.365% 0.364% 0.364% 0.364% 0.364% 0.364% 1.353% 0.254% Avg. WL/R: 1.8801 2.0599 2.2581 2.4564 2.5981 1.8930 1.4469 0.9775 0.7923 0.7439 Avg. WL/H: 26.104% 28.597% 31.349% 34.094% 36.076% 25.223% 19.290% 13.091% 10.216% 12.058% 12: Action: H H S S S H H H H H Index: c>=3:S c>=2:S c<0:H c<-1:H c<0:H -- -- -- -- -- # rounds: 6312444 6401463 6400924 6393434 6429783 6393748 6395136 6391882 23578774 4440380 # hands: 6312444 6401463 6400924 6393434 6429783 6393748 6395136 6391882 23578774 4440380 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.631% 0.640% 0.640% 0.639% 0.643% 0.639% 0.640% 0.639% 2.358% 0.444% Avg. WL/R: -0.9368 -0.8168 -0.6714 -0.5048 -0.4895 -0.8823 -1.1183 -1.3901 -1.5909 -1.4366 Avg. WL/H: -25.167% -21.931% -18.035% -13.554% -13.157% -22.703% -28.792% -35.751% -39.471% -36.153% 13: Action: S S S S S H H H H H Index: c<0:H c<-1:H c<-3:H c<-4:H c<-4:H -- -- -- -- -- # rounds: 6425949 6314134 6398232 6394220 6390963 6388132 6391103 6388208 23559999 4438153 # hands: 6425949 6314134 6398232 6394220 6390963 6388132 6391103 6388208 23559999 4438153 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.643% 0.631% 0.640% 0.639% 0.639% 0.639% 0.639% 0.639% 2.356% 0.444% Avg. WL/R: -1.0202 -0.8599 -0.6890 -0.5126 -0.4970 -1.1118 -1.3289 -1.5633 -1.7697 -1.6314 Avg. WL/H: -27.386% -23.092% -18.502% -13.765% -13.351% -28.602% -34.187% -40.232% -43.909% -41.067% 14: Action: S S S S S H H H H H Index: c<-3:H c<-4:H c<-6:H c<-7:H c<-7:H -- -- -- -- -- # rounds: 5505698 5506351 5388339 5475911 5476103 5502975 5474995 5468012 20178106 3803764 # hands: 5505698 5506351 5388339 5475911 5476103 5502975 5474995 5468012 20178106 3803764 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.551% 0.551% 0.539% 0.548% 0.548% 0.550% 0.547% 0.547% 2.018% 0.380% Avg. WL/R: -1.0305 -0.8618 -0.6966 -0.5120 -0.4956 -1.3270 -1.5161 -1.7461 -1.9516 -1.8181 Avg. WL/H: -27.576% -23.072% -18.654% -13.696% -13.258% -34.036% -38.879% -44.783% -48.230% -45.637% 15: Action: S S S S S H H H H H Index: c<-5:H c<-6:H c<-7:H c<-9:H c<-9:H c>=10:S c>=10:S c>=8:S c>=4:S c>=10:S # rounds: 5502996 5505836 5503591 5387285 5473075 5465721 5474494 5462793 20178647 3805489 # hands: 5502996 5505836 5503591 5387285 5473075 5465721 5474494 5462793 20178647 3805489 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% Freq.: 0.550% 0.551% 0.550% 0.539% 0.547% 0.547% 0.547% 0.546% 2.018% 0.381% Avg. WL/R: -1.0362 -0.8707 -0.6954 -0.5218 -0.5103 -1.5249 -1.7203 -1.9382 -2.1364 -2.0059 Avg. WL/H: -27.521% -23.135% -18.483% -13.867% -13.564% -38.820% -43.800% -49.337% -52.413% -49.985% 16: Action: S S S S S H H H H H Index: c<-8:H c<-10:H -- -- -- c>=9:S c>=7:S c>=5:S c>=0:S c>=8:S # rounds: 4584893 4585995 4583379 4582662 4468822 4557067 4582781 4553095 16791142 3174368 # hands: 4584893 4585995 4583379 4582662 4468822 4557067 4582781 4553095 16791142 3174368 % idx plays: 0.000% 0.000% -- -- -- 0.000% 0.000% 0.000% 0.000% 0.000% Freq.: 0.458% 0.459% 0.458% 0.458% 0.447% 0.456% 0.458% 0.455% 1.679% 0.317% Avg. WL/R: -1.0473 -0.8799 -0.7020 -0.5248 -0.5155 -1.6797 -1.8659 -2.0716 -2.2283 -2.1437 Avg. WL/H: -27.644% -23.218% -18.528% -13.850% -13.610% -42.508% -47.199% -52.419% -54.308% -53.018% A2: Action: H H H D D H H H H H Index: -- c>=7:D c>=3:D c<0:H c<-1:H -- -- -- -- -- # rounds: 891954 920873 918927 917967 918341 918651 918424 915516 3392479 615221 # hands: 891954 920873 918927 917967 918341 918651 918424 915516 3392479 615221 % idx plays: -- 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.089% 0.092% 0.092% 0.092% 0.092% 0.092% 0.092% 0.092% 0.339% 0.062% Avg. WL/R: 0.1862 0.3021 0.4443 0.6764 0.8092 0.4130 0.1454 -0.2101 -0.5060 -0.2828 Avg. WL/H: 4.902% 7.891% 9.201% 10.060% 11.311% 10.465% 3.673% -5.306% -12.333% -6.982% A3: Action: H H H D D H H H H H Index: -- c>=7:D c>=1:D c<-1:H c<-4:H -- -- -- -- -- # rounds: 918300 889217 919525 918500 919432 917643 918739 917042 3395082 613823 # hands: 918300 889217 919525 918500 919432 917643 918739 917042 3395082 613823 % idx plays: -- 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.092% 0.089% 0.092% 0.092% 0.092% 0.092% 0.092% 0.092% 0.340% 0.061% Avg. WL/R: 0.0895 0.2083 0.3710 0.6179 0.7736 0.2282 -0.0143 -0.3762 -0.6616 -0.4627 Avg. WL/H: 2.360% 5.440% 6.065% 8.629% 10.274% 5.773% -0.361% -9.512% -16.123% -11.491% A4: Action: H H D D D H H H H H Index: -- c>=7:D c<0:H c<-4:H c<-9:H -- -- -- -- -- # rounds: 917862 920299 890150 916835 916630 917469 917064 917631 3394742 614895 # hands: 917862 920299 890150 916835 916630 917469 917064 917631 3394742 614895 % idx plays: -- 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.092% 0.092% 0.089% 0.092% 0.092% 0.092% 0.092% 0.092% 0.339% 0.061% Avg. WL/R: -0.0082 0.1128 0.2968 0.6015 0.7457 0.0621 -0.2028 -0.5455 -0.8287 -0.6252 Avg. WL/H: -0.216% 2.946% 4.429% 7.981% 9.843% 1.571% -5.127% -13.828% -20.175% -15.485% A5: Action: H H D D D H H H H H Index: -- c>=4:D c<-2:H c<-6:H -- -- -- -- -- -- # rounds: 919641 918606 917768 888687 919014 915075 916768 917604 3393443 614694 # hands: 919641 918606 917768 888687 919014 915075 916768 917604 3393443 614694 % idx plays: -- 0.000% 0.000% 0.000% -- -- -- -- -- -- Freq.: 0.092% 0.092% 0.092% 0.089% 0.092% 0.092% 0.092% 0.092% 0.339% 0.061% Avg. WL/R: -0.0773 0.0641 0.3108 0.5759 0.7479 -0.1063 -0.3658 -0.6981 -0.9520 -0.7764 Avg. WL/H: -2.040% 1.486% 4.201% 7.620% 9.859% -2.688% -9.238% -17.652% -23.200% -19.253% A6: Action: H D D D D H H H H H Index: c>=1:D c<-3:H c<-7:H c<-10:H -- -- -- -- -- -- # rounds: 918934 918760 918156 916812 888774 915571 917088 918126 3390431 614219 # hands: 918934 918760 918156 916812 888774 915571 917088 918126 3390431 614219 % idx plays: 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- -- Freq.: 0.092% 0.092% 0.092% 0.092% 0.089% 0.092% 0.092% 0.092% 0.339% 0.061% Avg. WL/R: 0.0301 0.2905 0.5639 0.8455 1.0676 0.1973 -0.3460 -0.6646 -0.8869 -0.7780 Avg. WL/H: 0.492% 3.884% 7.448% 11.159% 14.093% 5.002% -8.762% -16.838% -21.614% -19.273% A7: Action: S D D D D S S H H H Index: c>=0:D c<-2:S c<-6:S c<-8:S c<-10:S -- -- -- -- c>=1:S # rounds: 916522 919644 917768 917475 917091 888139 915389 915816 3386084 612699 # hands: 916522 919644 917768 917475 917091 888139 915389 915816 3386084 612699 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- -- 0.000% Freq.: 0.092% 0.092% 0.092% 0.092% 0.092% 0.089% 0.092% 0.092% 0.339% 0.061% Avg. WL/R: 0.5908 0.8165 1.1018 1.3555 1.6625 1.7236 0.4438 -0.4746 -0.6806 -0.3977 Avg. WL/H: 8.474% 10.621% 13.947% 17.137% 21.024% 41.731% 10.764% -11.505% -15.888% -9.422% A8: Action: S S S S S S S S S S Index: c>=8:D c>=5:D c>=3:D c>=1:D c>=1:D -- -- -- -- -- # rounds: 917355 918215 916754 916673 917189 917227 888867 916306 3389486 612705 # hands: 917355 918215 916754 916673 917189 917227 888867 916306 3389486 612705 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.092% 0.092% 0.092% 0.092% 0.092% 0.092% 0.089% 0.092% 0.339% 0.061% Avg. WL/R: 1.5339 1.6172 1.7213 1.9004 2.1294 2.5882 2.5033 1.1597 0.1907 1.1784 Avg. WL/H: 38.733% 38.777% 34.340% 29.644% 33.198% 62.817% 60.628% 28.106% 4.447% 27.983% A9: Action: S S S S S S S S S S Index: c>=10:D c>=8:D c>=6:D c>=5:D c>=4:D -- -- -- -- -- # rounds: 919531 918210 916544 916908 916382 917191 918048 886652 3389083 613010 # hands: 919531 918210 916544 916908 916382 917191 918048 886652 3389083 613010 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.092% 0.092% 0.092% 0.092% 0.092% 0.092% 0.092% 0.089% 0.339% 0.061% Avg. WL/R: 2.5282 2.5745 2.6293 2.6833 2.8280 3.2187 3.2887 3.1431 2.3426 2.7928 Avg. WL/H: 64.014% 64.894% 64.915% 64.441% 63.496% 78.048% 79.644% 76.279% 54.593% 66.097% AA: Action: P P P P P P P P P P Index: -- -- -- -- -- c<-9:H c<-8:H c<-7:H c<-8:H c<-3:H # rounds: 444802 444747 444852 444126 444436 444413 444012 444312 1647499 287717 # hands: 951814 951695 952039 950610 951110 950663 949550 950427 3524791 592989 % idx plays: -- -- -- -- -- 0.000% 0.000% 0.000% 0.000% 0.000% Freq.: 0.095% 0.095% 0.095% 0.095% 0.095% 0.095% 0.095% 0.095% 0.352% 0.059% Avg. WL/R: 2.6472 2.8807 3.1106 3.3379 3.5069 2.8133 2.2655 1.6500 1.4321 1.3000 Avg. WL/H: 29.973% 32.651% 35.150% 37.879% 39.718% 30.624% 24.550% 17.878% 14.950% 14.049% 22: Action: P P P P P P H H H H Index: c<-3:H c<-5:H c<-7:H c<-9:H -- -- c>=5:P -- -- -- # rounds: 418415 445842 446226 445504 445455 445230 446630 444086 1642942 307607 # hands: 876702 951083 954722 953347 953027 953103 453001 444086 1642942 307607 % idx plays: 0.000% 0.000% 0.000% 0.000% -- -- 0.000% -- -- -- Freq.: 0.088% 0.095% 0.095% 0.095% 0.095% 0.095% 0.045% 0.044% 0.164% 0.031% Avg. WL/R: -0.1443 0.1311 0.4757 0.7647 0.9983 0.0066 -0.6117 -0.9207 -1.1418 -0.9852 Avg. WL/H: -1.611% 1.424% 5.001% 7.683% 9.770% 0.071% -15.296% -25.267% -30.223% -26.509% 33: Action: P P P P P P H H H H Index: c<0:H c<-4:H c<-7:H c<-9:H -- -- c>=4:P -- -- -- # rounds: 445763 418663 445799 446516 446128 445162 444105 444622 1640157 307750 # hands: 767407 886778 953371 955921 955020 953120 458936 444622 1640157 307750 % idx plays: 0.000% 0.000% 0.000% 0.000% -- -- 0.000% -- -- -- Freq.: 0.077% 0.089% 0.095% 0.096% 0.096% 0.095% 0.046% 0.044% 0.164% 0.031% Avg. WL/R: -0.3371 0.0233 0.3510 0.7591 0.8898 -0.2058 -0.8726 -1.1410 -1.3374 -1.2123 Avg. WL/H: -4.244% 0.255% 3.626% 7.570% 8.679% -2.226% -19.355% -31.354% -35.401% -32.560% 44: Action: H H H P P H H H H H Index: -- c>=8:P c>=3:P c<-1:H c<-4:H -- -- -- -- -- # rounds: 445434 444472 417822 444781 445916 444872 444569 444904 1640306 307435 # hands: 445434 444944 451355 864727 946329 444872 444569 444904 1640306 307435 % idx plays: -- 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.045% 0.044% 0.045% 0.086% 0.095% 0.044% 0.044% 0.044% 0.164% 0.031% Avg. WL/R: -0.0077 0.0950 0.2723 0.5365 0.7212 0.3456 -0.2015 -0.7804 -0.9627 -0.7417 Avg. WL/H: -0.221% 2.696% 5.029% 5.796% 7.322% 9.502% -5.536% -21.396% -25.519% -20.041% 55: Action: D D D D D D D D H H Index: c<-8:H c<-9:H c<-10:H -- -- c<-6:H c<-4:H c<-1:H c>=4:D c>=4:D # rounds: 445824 443654 444234 416230 444293 443966 444873 444032 1640976 307648 # hands: 445824 443654 444234 416230 444293 443966 444873 444032 1640976 307648 % idx plays: 0.000% 0.000% 0.000% -- -- 0.000% 0.000% 0.000% 0.000% 0.000% Freq.: 0.045% 0.044% 0.044% 0.042% 0.044% 0.044% 0.044% 0.044% 0.164% 0.031% Avg. WL/R: 1.4503 1.6265 1.8413 2.0708 2.2422 1.6456 1.2450 0.6375 0.1328 0.3940 Avg. WL/H: 20.769% 23.283% 26.361% 29.707% 32.086% 22.623% 17.076% 9.220% 3.086% 9.347% 66: Action: P P P P P H H H H H Index: c<-1:H c<-4:H c<-6:H c<-8:H c<-10:H -- -- -- -- -- # rounds: 445456 444950 445652 443237 416378 444905 444162 443660 1638821 306085 # hands: 865419 944822 952354 948529 889568 444905 444162 443660 1638821 306085 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.087% 0.094% 0.095% 0.095% 0.089% 0.044% 0.044% 0.044% 0.164% 0.031% Avg. WL/R: -0.6004 -0.2362 0.1533 0.5727 0.6797 -0.8445 -1.0583 -1.2977 -1.4943 -1.3590 Avg. WL/H: -6.790% -2.440% 1.553% 5.730% 6.658% -23.281% -29.136% -35.650% -39.575% -36.663% 77: Action: P P P P P P H H H H Index: c<-9:H -- -- -- -- -- c>=5:P -- -- -- # rounds: 444742 445726 444657 443709 444488 417356 444203 443033 1639887 306369 # hands: 951829 954427 951467 949647 951259 891151 449776 443033 1639887 306369 % idx plays: 0.000% -- -- -- -- -- 0.000% -- -- -- Freq.: 0.095% 0.095% 0.095% 0.095% 0.095% 0.089% 0.045% 0.044% 0.164% 0.031% Avg. WL/R: -0.3259 0.0483 0.4452 0.8390 1.0857 -0.1911 -1.5644 -1.7988 -2.0185 -1.8557 Avg. WL/H: -3.154% 0.458% 4.166% 7.781% 10.135% -1.919% -36.454% -45.464% -49.081% -45.827% 88: Action: P P P P P P P P P P Index: -- -- -- -- -- -- -- -- c>=8:S -- # rounds: 443620 443925 444138 445147 442787 445384 415378 444314 1635705 306661 # hands: 949110 950116 950181 952841 947659 953180 886780 951273 3499449 656096 % idx plays: -- -- -- -- -- -- -- -- 0.000% -- Freq.: 0.095% 0.095% 0.095% 0.095% 0.095% 0.095% 0.089% 0.095% 0.350% 0.066% Avg. WL/R: 0.4399 0.7318 1.0177 1.3790 1.7240 1.3687 -0.0779 -1.5738 -2.0238 -1.4564 Avg. WL/H: 4.679% 7.784% 10.632% 14.007% 17.539% 13.941% -0.795% -16.188% -21.172% -15.924% 99: Action: P P P P P S P P S S Index: c<-2:S c<-3:S c<-5:S c<-6:S c<-6:S c>=3:P c<-8:S c<-9:S -- c>=3:P # rounds: 445129 444201 444178 444725 442996 444475 444007 416812 1635179 305327 # hands: 904419 928507 946754 949999 946658 472486 949854 890230 1635179 321768 % idx plays: 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% 0.000% -- 0.000% Freq.: 0.090% 0.093% 0.095% 0.095% 0.095% 0.047% 0.095% 0.089% 0.164% 0.032% Avg. WL/R: 0.9034 1.1675 1.4513 1.7415 2.0016 1.6972 1.0116 -0.3087 -0.7627 -0.3564 Avg. WL/H: 10.661% 13.501% 16.571% 19.797% 22.538% 31.644% 11.057% -3.385% -18.563% -6.785% TT: Action: S S S S S S S S S S Index: -- c>=8:P c>=6:P c>=5:P c>=4:P -- -- -- -- -- # rounds: 7278146 7272138 7273901 7265174 7265443 7267003 7265370 7266834 26377054 5055346 # hands: 7278146 7279069 7317592 7370134 7508652 7267003 7265370 7266834 26377054 5055346 % idx plays: -- 0.000% 0.000% 0.000% 0.000% -- -- -- -- -- Freq.: 0.728% 0.728% 0.732% 0.737% 0.751% 0.727% 0.727% 0.727% 2.638% 0.506% Avg. WL/R: 2.6281 2.6734 2.7293 2.8089 2.9534 3.3491 3.4285 3.2690 2.4553 2.8890 Avg. WL/H: 63.822% 64.619% 64.392% 63.726% 61.678% 77.912% 79.732% 76.040% 54.944% 65.659% # rounds: - Number of rounds where the initial two cards classified as this combination. # hands: - Number of hands where the initial two cards classified as this combination. Splitting (if any) can cause this number to be higher than the # of rounds. 0dx plays: - Percentage of plays where the count caused the index play (if any) to be used. Freq.: - Percentage of rounds that classify with this combination Avg. WL/R: - The average win (or loss) per round, in bet units (divided by bet_size). Includes all hands played from this combination, including split hands (if any). Exp.: - The expectation for the hand combination: total winnings / total wagers. Includes winnings and wagers on split hands. System count statistics: See after table for explanation of columns Count Rounds Freq. Exp. Std. Avg. W/L ============================================================ -20 1 0.000% 150.00% 0.00 7.5000 -19 2 0.000% -100.00% 0.00 -5.0000 -18 5 0.000% 50.00% 0.89 2.5000 -17 14 0.000% -28.57% 0.80 -1.4286 -16 46 0.000% -16.33% 1.07 -0.8696 -15 150 0.000% -9.81% 1.06 -0.5167 -14 405 0.000% -2.41% 1.07 -0.1296 -13 1138 0.000% -0.86% 1.05 -0.0461 -12 3529 0.000% -4.07% 1.05 -0.2168 -11 11017 0.001% -6.85% 1.05 -0.3660 -10 35124 0.004% -4.57% 1.06 -0.2456 -9 108937 0.011% -4.61% 1.08 -0.2506 -8 328039 0.033% -4.33% 1.08 -0.2360 -7 929697 0.093% -3.89% 1.09 -0.2128 -6 2452215 0.245% -3.48% 1.11 -0.1923 -5 6013005 0.601% -3.11% 1.11 -0.1719 -4 13897592 1.390% -2.51% 1.13 -0.1407 -3 30517696 3.052% -2.01% 1.14 -0.1133 -2 64621898 6.462% -1.48% 1.15 -0.0836 -1 134483100 13.448% -0.99% 1.15 -0.0558 0 502186468 50.219% -0.31% 1.15 -0.0174 1 129628580 12.963% 0.41% 3.49 0.0694 2 62391482 6.239% 0.98% 5.80 0.2782 3 29472037 2.947% 1.55% 11.61 0.9012 4 13436325 1.344% 2.12% 11.75 1.2654 5 5789982 0.579% 2.78% 11.85 1.6791 6 2340746 0.234% 3.37% 11.94 2.0478 7 884576 0.088% 3.92% 12.00 2.3952 8 312826 0.031% 4.15% 12.01 2.5445 9 104181 0.010% 5.37% 12.02 3.2947 10 33453 0.003% 5.90% 11.99 3.6080 11 10559 0.001% 6.65% 11.97 4.0700 12 3471 0.000% 9.31% 11.96 5.7548 13 1231 0.000% 6.45% 11.83 3.8993 14 428 0.000% 11.99% 12.44 7.4182 15 164 0.000% -1.79% 11.91 -1.0671 16 46 0.000% 13.21% 11.65 7.6087 17 15 0.000% -13.89% 10.59 -8.3333 18 5 0.000% 81.82% 4.90 45.0000 19 3 0.000% 33.33% 9.43 16.6667 20 1 0.000% -100.00% 0.00 -50.0000 21 1 0.000% 100.00% 0.00 50.0000 Count: - Each row covers from the count value (inclusive), to the value + 1 - The counts represent system counts, and are dependent on the 'true count calculation' setting Rounds: - Number of rounds where the round started with in this count range Freq.: - Percentage of rounds that classify with this count Exp.: - The expectation for the rows count: winnings / total wagers Std.: - Standard deviation. In betting units (divided by bet_size) Avg.: - The average win (or loss) per round, in bet units (divided by bet_size) Hand state statistics: Total number of hands: 1028556362 State # rounds % ============================== won 403098385 39.19% lost 492336099 47.87% BJ 45231737 4.40% push 87890141 8.54% Notes: 1) Expectation = 100 * (amount won or loss) / (total amount wagered) 2) A betting event is an individual hand or insurance event. Each round has one or more betting events 3) A round is one dealing to the table from the shoe. With splits, more than one hand may be played in a round 4) A unit bet value is adjusted to account for the bet size. 5) Includes ALL hands when you have an action choice. 6) Player hand expectation is only based on the first two cards. Split hands are not classified, and insurance is not factored in. A round is classified only once, regardless of the number of hands. Risk of Ruin simulation results: number of sessions: 1000 maximum rounds/session: 1000 bankroll: $1000 target profit: $1000.00 **Risk of ruin percentage**: 39.90% # sessions where bankroll exhausted: 399 # sessions where goal was met: 601 # incomplete sessions: 0 average number of rounds to meet goal: 3598 average number of rounds to lose bank: 3555 average maximum loss: $648 worst session loss: $1110 Risk of Ruin simulation results: number of sessions: 1000 maximum rounds/session: 1000 bankroll: $2000 target profit: $2000.00 **Risk of ruin percentage**: 29.80% # sessions where bankroll exhausted: 298 # sessions where goal was met: 702 # incomplete sessions: 0 average number of rounds to meet goal: 13734 average number of rounds to lose bank: 13227 average maximum loss: $1123 worst session loss: $2100 Risk of Ruin simulation results: number of sessions: 1000 maximum rounds/session: 1000 bankroll: $3000 target profit: $3000.00 **Risk of ruin percentage**: 21.50% # sessions where bankroll exhausted: 215 # sessions where goal was met: 785 # incomplete sessions: 0 average number of rounds to meet goal: 29025 average number of rounds to lose bank: 26756 average maximum loss: $1487 worst session loss: $3165 Risk of Ruin simulation results: number of sessions: 1000 maximum rounds/session: 1000 bankroll: $4000 target profit: $4000.00 **Risk of ruin percentage**: 15.30% # sessions where bankroll exhausted: 153 # sessions where goal was met: 847 # incomplete sessions: 0 average number of rounds to meet goal: 46363 average number of rounds to lose bank: 41989 average maximum loss: $1826 worst session loss: $4097 Risk of Ruin simulation results: number of sessions: 1000 maximum rounds/session: 1000 bankroll: $6000 target profit: $6000.00 **Risk of ruin percentage**: 8.10% # sessions where bankroll exhausted: 81 # sessions where goal was met: 919 # incomplete sessions: 0 average number of rounds to meet goal: 83587 average number of rounds to lose bank: 72967 average maximum loss: $2154 worst session loss: $6102 Risk of Ruin simulation results: number of sessions: 1000 maximum rounds/session: 1000 bankroll: $8000 target profit: $8000.00 **Risk of ruin percentage**: 3.31% # sessions where bankroll exhausted: 33 # sessions where goal was met: 963 # incomplete sessions: 4 average number of rounds to meet goal: 121344 average number of rounds to lose bank: 125521 average maximum loss: $2220 worst session loss: $8075 Risk of Ruin simulation results: number of sessions: 1000 maximum rounds/session: 1000 bankroll: $10000 target profit: $10000.00 **Risk of ruin percentage**: 1.12% # sessions where bankroll exhausted: 11 # sessions where goal was met: 973 # incomplete sessions: 16 average number of rounds to meet goal: 154407 average number of rounds to lose bank: 149134 average maximum loss: $2410 worst session loss: $10122 Risk of Ruin simulation results: number of sessions: 5000 maximum rounds/session: 5000 bankroll: $7450 target profit: $7450.00 **Risk of ruin percentage**: 4.62% # sessions where bankroll exhausted: 231 # sessions where goal was met: 4769 # incomplete sessions: 0 average number of rounds to meet goal: 114532 average number of rounds to lose bank: 113715 average maximum loss: $2293 worst session loss: $7577