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HAND LENGTH TEST - Godly Pro Test shooter, no confidence reduction, so super godly! Smart Craps, version 1.42, by DeepNet Technologies. Copyright 2004. All rights reserved. E-mail: info@deepnettech.com Web: info@deepnettech.com This is a generated craps simulation report file. It describes the results of a simulation of a specified game of craps. This program is properly registered. Thank you for purchasing Smart Craps. SIMULATION SETUP Craps game setup: Minimum table bet: $30.00 No maximum table limit (no ceiling on bet size) Up to 1 times odds permitted Odds wagers allowed with payout over the table maximum Automatic odds wagers (does not apply to lay odds bets): - rounded up such that the payout is to the even $1.00 (i.e. if set to $5, with single odds, the maximum odds owager on $15 original bet with a point roll of 6 is: $25. With 6:5 odds, a $15 bet pays $18, and $30 is nearest payout to $5, which is a $25 bet). The buy and lay bet vig/commission is: 5% You pay a commission/vig on lost buy/lay bets The vig/commission leeway on bets is $1.00 (i.e. if set to $10 with a 5% vig, then you pay a $1 commission on bets up to and including $30. A $20 bet would have a $1.00 vig exactly, so a $10 leeway allows a $30 bet. At $31, the vig would be $2). The vig is computed to the nearest dollar (i.e. if set to the nearest 50 cents, a $30 buy bet would have a $1.50 commission with a 5% vig, instead of $1 or $2) Place bet odds for 6 and 8 are: 7 to 6 Place bet odds for 5 and 9 are: 7 to 5 Place bet odds for 4 and 10 are: 9 to 5 Field bet odds for a 2 point are: 2 to 1 Field bet odds for a 12 point are: 2 to 1 Big 6 and 8 bets odds are: 1 to 1 Any 7 bet odds are: 4 to 1 Any craps bet odds are: 7 to 1 Craps 2 bet odds are: 30 to 1 Craps 3 bet odds are: 15 to 1 Craps 12 bet odds are: 30 to 1 Yo 11 bet odds are: 15 to 1 hardway 4 and 10 odds are: 7 to 1 hardway 6 and 8 odds are: 9 to 1 Betting modules in use: 1) Flat Betting Module Betting systems in use: 1) Shooter 1 - pass - Betting module: Flat Betting Module - Bet type: pass - betting exactly: 30 - following bets with maximum odds allowed (only for pass/don't pass bets) - point for bets (only used for certain bets types): 6 - bet only on the come out roll - for applicable bet types, the bets are 'off' on the come out roll - come out dice set for Pro Test rolls: left die: T2F4, right die: T5F3 (all sevens) - 4/10 dice set for Pro Test rolls: left die: T1F5, right die: T3F5 (2V-A) - 5/9 dice set for Pro Test rolls: left die: T1F3, right die: T4F2 (5/9) - 6/8 dice set for Pro Test rolls: left die: T1F3, right die: T5F3 (3V) - SRR usage for come out rolls: shooter's minimum SRR - SRR usage for point rolls: shooter's maximum SRR Shooters in use: 1) Shooter 1 - Pro Test, expert: - Bet system: Shooter 1 - pass - Throw style: Pro Test - Total # of rolls in Pro Test: 412 - Pro 1 passes: 297 - Pro 1 probability: 0.000000% (low is good) - Minimum # of passes in 412 rolls for a 1.00% Pro 1 Test probability: 208 - Expected # of Pro 1 passes for a random shooter (4/9th): 183.11 Not using Pro 2 score in rolls - Pro 3 failures: 41 - Pro 3 probability: 0.000161% (low is good) - Maximum # of failures in 297 Pro 1 passes for a 1.00% Pro 3 Test probability: 56 - Expected # of Pro 3 passes for a random shooter (1/4 of Pro 1 passes): 74.25 - weakening the Pro score values to achieve a 95% confidence interval (i.e. a range of scores surrounding the actual Pro score values that has a 95% chance of containing the actual shooter's Pro score) - Pro 1 score decreased to 282.00 observe the 95% confidence interval - The Pro 3 Test has been disabled since increasing it would make the value more than the average expected for a random shooter Table spots: Spot # 1 walkups: Walkup # 1: - shooter: Shooter 1 - Pro Test, expert - frequency: 1 (proportionate to other walkup frequencies for this shooter) - duration: 50 (# of throws walkup will stay around) - betting as this walkup/shooter does SIMULATION RESULTS Win/loss rates: *** Expectation: 21.371383% (total of all wins and losses, divided by the total of all bets made) Average earnings/loss per throw: $3.113116 Average earnings/loss per betting event: $6.411415 Average earnings/loss per hand: $32.046268 Average earnings/loss per hour: $311.311648 Average # of bets/hour: 48.6 (assumes 100 throws per hour) Simulation statistics: Intended # of rounds in simulation: 10,000,000 Actual # of rounds completed: 10,000,003 Each round is a: bet (a single betting event) Random seed: 12345 Start time for simulation: Mon Apr 04 17:33:43 2005 End time for simulation: Mon Apr 04 17:34:13 2005 Elapsed simulation time: 00:00:30 Total # of hands: 2,000,675 Average # of throws/hand: 10.29 Longest hand (in throws): 118 50% of hands are of throw length 8.13 or more (median value) 5% of hands are of throw length 28.49 or more 1% of hands are of throw length 42.73 or more Inferred probability of hand ending per round (seven out): 10.6913% Distribution table of hands by length (2,000,675 hands in total): Hand length Frequency Prob. for hand Prob. hand >= Expected prob. 1 0 0.00% 100.00% 100.00% 2 187,220 9.36% 100.00% 100.00% 3 193,729 9.68% 90.64% 89.31% 4 176,655 8.83% 80.96% 79.76% 5 158,015 7.90% 72.13% 71.23% 6 141,153 7.06% 64.23% 63.62% 7 125,462 6.27% 57.18% 56.82% 8 111,802 5.59% 50.90% 50.74% 9 99,580 4.98% 45.32% 45.32% 10 88,338 4.42% 40.34% 40.47% 11 78,686 3.93% 35.92% 36.14% 12 70,154 3.51% 31.99% 32.28% 13 62,383 3.12% 28.48% 28.83% 14 55,825 2.79% 25.37% 25.75% 15 49,339 2.47% 22.58% 22.99% 16 43,900 2.19% 20.11% 20.54% 17 39,303 1.96% 17.92% 18.34% 18 35,239 1.76% 15.95% 16.38% 19 31,276 1.56% 14.19% 14.63% 20 27,432 1.37% 12.63% 13.06% 21 24,560 1.23% 11.26% 11.67% 22 21,989 1.10% 10.03% 10.42% 23 19,627 0.98% 8.93% 9.31% 24 17,340 0.87% 7.95% 8.31% 25 15,636 0.78% 7.08% 7.42% 26 14,034 0.70% 6.30% 6.63% 27 12,061 0.60% 5.60% 5.92% 28 11,161 0.56% 5.00% 5.29% 29 9,818 0.49% 4.44% 4.72% 30 8,746 0.44% 3.95% 4.22% 31 7,819 0.39% 3.51% 3.77% 32 6,822 0.34% 3.12% 3.36% 33 6,141 0.31% 2.78% 3.00% 34 5,525 0.28% 2.47% 2.68% 35 4,734 0.24% 2.19% 2.40% 36 4,206 0.21% 1.96% 2.14% 37 3,792 0.19% 1.75% 1.91% 38 3,451 0.17% 1.56% 1.71% 39 3,033 0.15% 1.39% 1.52% 40 2,657 0.13% 1.23% 1.36% 41 2,404 0.12% 1.10% 1.22% 42 2,260 0.11% 0.98% 1.09% 43 1,858 0.09% 0.87% 0.97% 44 1,665 0.08% 0.78% 0.87% 45 1,502 0.08% 0.69% 0.77% 46 1,324 0.07% 0.62% 0.69% 47 1,159 0.06% 0.55% 0.62% 48 1,085 0.05% 0.49% 0.55% 49 953 0.05% 0.44% 0.49% 50 872 0.04% 0.39% 0.44% 51 729 0.04% 0.35% 0.39% 52 676 0.03% 0.31% 0.35% 53 632 0.03% 0.28% 0.31% 54 525 0.03% 0.25% 0.28% 55 476 0.02% 0.22% 0.25% 56 404 0.02% 0.20% 0.22% 57 373 0.02% 0.18% 0.20% 58 367 0.02% 0.16% 0.18% 59 331 0.02% 0.14% 0.16% 60 260 0.01% 0.12% 0.14% 61 237 0.01% 0.11% 0.13% 62 196 0.01% 0.10% 0.11% 63 192 0.01% 0.09% 0.10% 64 155 0.01% 0.08% 0.09% 65 156 0.01% 0.07% 0.08% 66 158 0.01% 0.06% 0.07% 67 116 0.01% 0.05% 0.06% 68 93 0.00% 0.05% 0.06% 69 100 0.00% 0.04% 0.05% 70 80 0.00% 0.04% 0.05% 71 60 0.00% 0.03% 0.04% 72 65 0.00% 0.03% 0.04% 73 68 0.00% 0.03% 0.03% 74 69 0.00% 0.03% 0.03% 75 59 0.00% 0.02% 0.03% 76 36 0.00% 0.02% 0.02% 77 34 0.00% 0.02% 0.02% 78 27 0.00% 0.02% 0.02% 79 30 0.00% 0.01% 0.02% 80 31 0.00% 0.01% 0.01% 81 29 0.00% 0.01% 0.01% 82 18 0.00% 0.01% 0.01% 83 19 0.00% 0.01% 0.01% 84 15 0.00% 0.01% 0.01% 85 17 0.00% 0.01% 0.01% 86 17 0.00% 0.01% 0.01% 87 9 0.00% 0.00% 0.01% 88 11 0.00% 0.00% 0.01% 89 5 0.00% 0.00% 0.01% 90 8 0.00% 0.00% 0.00% 91 7 0.00% 0.00% 0.00% 92 8 0.00% 0.00% 0.00% 93 7 0.00% 0.00% 0.00% 94 9 0.00% 0.00% 0.00% 95 8 0.00% 0.00% 0.00% 96 3 0.00% 0.00% 0.00% 97 4 0.00% 0.00% 0.00% 98 1 0.00% 0.00% 0.00% 99 4 0.00% 0.00% 0.00% 100 2 0.00% 0.00% 0.00% 101 0 0.00% 0.00% 0.00% 102 1 0.00% 0.00% 0.00% 103 2 0.00% 0.00% 0.00% 104 1 0.00% 0.00% 0.00% 105 1 0.00% 0.00% 0.00% 106 0 0.00% 0.00% 0.00% 107 2 0.00% 0.00% 0.00% 108 4 0.00% 0.00% 0.00% 109 0 0.00% 0.00% 0.00% 110 1 0.00% 0.00% 0.00% 111 0 0.00% 0.00% 0.00% 112 0 0.00% 0.00% 0.00% 113 0 0.00% 0.00% 0.00% 114 0 0.00% 0.00% 0.00% 115 1 0.00% 0.00% 0.00% 116 0 0.00% 0.00% 0.00% 117 0 0.00% 0.00% 0.00% 118 1 0.00% 0.00% 0.00% Betting statistics (wagers only, no wins or losses): # of betting events: 10,000,003 Average bet size: $30.0000 Standard deviation: $0.000000 Variance: $0.000000 Smallest bet size: $30.00 Largest bet size: $30.00 Sum of all bets: $300,000,090 Bankroll statistics (wins and losses only on bets made): Average earnings/loss per betting event: $6.411415 Standard deviation: $32.685561 (in earnings/loss dollars per betting event) Variance: $1068.345876 Largest wager lost: -$30.00 Biggest win: $60.00 Total earnings/loss: $64,114,167.00 Dice roll statistics (by sum, all shooters): Number of dice rolls/throws: 20,594,850 Roll # Rolled # Expected Difference Chi Square 2 325925 572079.2 -246154.2 105915.1902 3 1004414 1144158.3 -139744.3 17067.9862 4 1534286 1716237.5 -181951.5 19290.0740 5 2521323 2288316.7 233006.3 23725.7160 6 3256687 2860395.8 396291.2 54903.8308 7 3295915 3432475.0 -136560.0 5432.9991 8 3266323 2860395.8 405927.2 57606.3154 9 2527349 2288316.7 239032.3 24968.7717 10 1531883 1716237.5 -184354.5 19802.9595 11 1005868 1144158.3 -138290.3 16714.6589 12 324877 572079.2 -247202.2 106818.9768 Sum of above chi squares: 452247.4786 Dice outcome statistics (all shooters): Number of dice rolls/throws: 20,594,850 # expected per outcome: 572,079 Outcome # Rolled Difference Chi Square 1|1 325925 -246154.0 105915.0777 1|2 679994 107915.0 20356.7116 1|3 694968 122889.0 26397.9386 1|4 727543 155464.0 42247.7583 1|5 777209 205130.0 73553.3325 1|6 325783 -246296.0 106037.3124 2|1 324420 -247659.0 107214.1790 2|2 513939 -58140.0 5908.7287 2|3 605646 33567.0 1969.5593 2|4 605896 33817.0 1999.0062 2|5 558005 -14074.0 346.2415 2|6 325259 -246820.0 106488.9856 3|1 325379 -246700.0 106385.4642 3|2 863241 291162.0 148188.1178 3|3 769536 197457.0 68153.6411 3|4 765413 193334.0 65337.1922 3|5 781735 209656.0 76834.9098 3|6 325507 -246572.0 106275.0969 4|1 324893 -247186.0 106805.0367 4|2 779809 207730.0 75429.7097 4|3 766344 194265.0 65967.9699 4|4 772797 200718.0 70423.3428 4|5 864383 292304.0 149352.8488 4|6 324454 -247625.0 107184.7431 5|1 324237 -247842.0 107372.6827 5|2 555671 -16408.0 470.6036 5|3 607232 35153.0 2160.0748 5|4 605764 33685.0 1983.4310 5|5 511153 -60926.0 6488.5750 5|6 325373 -246706.0 106390.6391 6|1 324699 -247380.0 106972.7510 6|2 779300 207221.0 75060.5123 6|3 731695 159616.0 44534.5266 6|4 696276 124197.0 26962.8754 6|5 680495 108416.0 20546.1642 6|6 324877 -247202.0 106818.8638 Sum of above chi squares: 2350534.6038 For shooter: 'Shooter 1 - Pro Test, expert' Expectation: 21.371383% # of betting events: 10,000,003 Average earnings/loss per betting event: $6.411415 Standard deviation: $32.685561 (in earnings/loss dollars per betting event) Variance: $1068.345876 Largest wager lost: -$30.00 Biggest win: $60.00 Total earnings/loss: $64,114,167.00 Total # of hands: 2,000,675 Average # of throws/hand: 10.29 Longest hand (in throws): 118 50% of hands are of length 8.13 or more (median value) 5% of hands are of throw length 28.49 or more 1% of hands are of throw length 42.73 or more Inferred probability of hand ending per round (seven out): 10.6913% Distribution table of hands by length (2,000,675 hands in total): Hand length Frequency Prob. for hand Prob. hand >= Expected prob. 1 0 0.00% 100.00% 100.00% 2 187,220 9.36% 100.00% 100.00% 3 193,729 9.68% 90.64% 89.31% 4 176,655 8.83% 80.96% 79.76% 5 158,015 7.90% 72.13% 71.23% 6 141,153 7.06% 64.23% 63.62% 7 125,462 6.27% 57.18% 56.82% 8 111,802 5.59% 50.90% 50.74% 9 99,580 4.98% 45.32% 45.32% 10 88,338 4.42% 40.34% 40.47% 11 78,686 3.93% 35.92% 36.14% 12 70,154 3.51% 31.99% 32.28% 13 62,383 3.12% 28.48% 28.83% 14 55,825 2.79% 25.37% 25.75% 15 49,339 2.47% 22.58% 22.99% 16 43,900 2.19% 20.11% 20.54% 17 39,303 1.96% 17.92% 18.34% 18 35,239 1.76% 15.95% 16.38% 19 31,276 1.56% 14.19% 14.63% 20 27,432 1.37% 12.63% 13.06% 21 24,560 1.23% 11.26% 11.67% 22 21,989 1.10% 10.03% 10.42% 23 19,627 0.98% 8.93% 9.31% 24 17,340 0.87% 7.95% 8.31% 25 15,636 0.78% 7.08% 7.42% 26 14,034 0.70% 6.30% 6.63% 27 12,061 0.60% 5.60% 5.92% 28 11,161 0.56% 5.00% 5.29% 29 9,818 0.49% 4.44% 4.72% 30 8,746 0.44% 3.95% 4.22% 31 7,819 0.39% 3.51% 3.77% 32 6,822 0.34% 3.12% 3.36% 33 6,141 0.31% 2.78% 3.00% 34 5,525 0.28% 2.47% 2.68% 35 4,734 0.24% 2.19% 2.40% 36 4,206 0.21% 1.96% 2.14% 37 3,792 0.19% 1.75% 1.91% 38 3,451 0.17% 1.56% 1.71% 39 3,033 0.15% 1.39% 1.52% 40 2,657 0.13% 1.23% 1.36% 41 2,404 0.12% 1.10% 1.22% 42 2,260 0.11% 0.98% 1.09% 43 1,858 0.09% 0.87% 0.97% 44 1,665 0.08% 0.78% 0.87% 45 1,502 0.08% 0.69% 0.77% 46 1,324 0.07% 0.62% 0.69% 47 1,159 0.06% 0.55% 0.62% 48 1,085 0.05% 0.49% 0.55% 49 953 0.05% 0.44% 0.49% 50 872 0.04% 0.39% 0.44% 51 729 0.04% 0.35% 0.39% 52 676 0.03% 0.31% 0.35% 53 632 0.03% 0.28% 0.31% 54 525 0.03% 0.25% 0.28% 55 476 0.02% 0.22% 0.25% 56 404 0.02% 0.20% 0.22% 57 373 0.02% 0.18% 0.20% 58 367 0.02% 0.16% 0.18% 59 331 0.02% 0.14% 0.16% 60 260 0.01% 0.12% 0.14% 61 237 0.01% 0.11% 0.13% 62 196 0.01% 0.10% 0.11% 63 192 0.01% 0.09% 0.10% 64 155 0.01% 0.08% 0.09% 65 156 0.01% 0.07% 0.08% 66 158 0.01% 0.06% 0.07% 67 116 0.01% 0.05% 0.06% 68 93 0.00% 0.05% 0.06% 69 100 0.00% 0.04% 0.05% 70 80 0.00% 0.04% 0.05% 71 60 0.00% 0.03% 0.04% 72 65 0.00% 0.03% 0.04% 73 68 0.00% 0.03% 0.03% 74 69 0.00% 0.03% 0.03% 75 59 0.00% 0.02% 0.03% 76 36 0.00% 0.02% 0.02% 77 34 0.00% 0.02% 0.02% 78 27 0.00% 0.02% 0.02% 79 30 0.00% 0.01% 0.02% 80 31 0.00% 0.01% 0.01% 81 29 0.00% 0.01% 0.01% 82 18 0.00% 0.01% 0.01% 83 19 0.00% 0.01% 0.01% 84 15 0.00% 0.01% 0.01% 85 17 0.00% 0.01% 0.01% 86 17 0.00% 0.01% 0.01% 87 9 0.00% 0.00% 0.01% 88 11 0.00% 0.00% 0.01% 89 5 0.00% 0.00% 0.01% 90 8 0.00% 0.00% 0.00% 91 7 0.00% 0.00% 0.00% 92 8 0.00% 0.00% 0.00% 93 7 0.00% 0.00% 0.00% 94 9 0.00% 0.00% 0.00% 95 8 0.00% 0.00% 0.00% 96 3 0.00% 0.00% 0.00% 97 4 0.00% 0.00% 0.00% 98 1 0.00% 0.00% 0.00% 99 4 0.00% 0.00% 0.00% 100 2 0.00% 0.00% 0.00% 101 0 0.00% 0.00% 0.00% 102 1 0.00% 0.00% 0.00% 103 2 0.00% 0.00% 0.00% 104 1 0.00% 0.00% 0.00% 105 1 0.00% 0.00% 0.00% 106 0 0.00% 0.00% 0.00% 107 2 0.00% 0.00% 0.00% 108 4 0.00% 0.00% 0.00% 109 0 0.00% 0.00% 0.00% 110 1 0.00% 0.00% 0.00% 111 0 0.00% 0.00% 0.00% 112 0 0.00% 0.00% 0.00% 113 0 0.00% 0.00% 0.00% 114 0 0.00% 0.00% 0.00% 115 1 0.00% 0.00% 0.00% 116 0 0.00% 0.00% 0.00% 117 0 0.00% 0.00% 0.00% 118 1 0.00% 0.00% 0.00% Dice roll statistics (by sum, for 'Shooter 1 - Pro Test, expert' - all rolls): Number of dice rolls/throws: 20,594,850 Roll # Rolled # Expected Difference Chi Square 2 325925 572079.2 -246154.2 105915.1902 3 1004414 1144158.3 -139744.3 17067.9862 4 1534286 1716237.5 -181951.5 19290.0740 5 2521323 2288316.7 233006.3 23725.7160 6 3256687 2860395.8 396291.2 54903.8308 7 3295915 3432475.0 -136560.0 5432.9991 8 3266323 2860395.8 405927.2 57606.3154 9 2527349 2288316.7 239032.3 24968.7717 10 1531883 1716237.5 -184354.5 19802.9595 11 1005868 1144158.3 -138290.3 16714.6589 12 324877 572079.2 -247202.2 106818.9768 Sum of above chi squares: 452247.4786 Dice outcome statistics (for 'Shooter 1 - Pro Test, expert' - all rolls): Number of dice rolls/throws: 20,594,850 # expected per outcome: 572,079 Outcome # Rolled Difference Chi Square 1|1 325925 -246154.0 105915.0777 1|2 679994 107915.0 20356.7116 1|3 694968 122889.0 26397.9386 1|4 727543 155464.0 42247.7583 1|5 777209 205130.0 73553.3325 1|6 325783 -246296.0 106037.3124 2|1 324420 -247659.0 107214.1790 2|2 513939 -58140.0 5908.7287 2|3 605646 33567.0 1969.5593 2|4 605896 33817.0 1999.0062 2|5 558005 -14074.0 346.2415 2|6 325259 -246820.0 106488.9856 3|1 325379 -246700.0 106385.4642 3|2 863241 291162.0 148188.1178 3|3 769536 197457.0 68153.6411 3|4 765413 193334.0 65337.1922 3|5 781735 209656.0 76834.9098 3|6 325507 -246572.0 106275.0969 4|1 324893 -247186.0 106805.0367 4|2 779809 207730.0 75429.7097 4|3 766344 194265.0 65967.9699 4|4 772797 200718.0 70423.3428 4|5 864383 292304.0 149352.8488 4|6 324454 -247625.0 107184.7431 5|1 324237 -247842.0 107372.6827 5|2 555671 -16408.0 470.6036 5|3 607232 35153.0 2160.0748 5|4 605764 33685.0 1983.4310 5|5 511153 -60926.0 6488.5750 5|6 325373 -246706.0 106390.6391 6|1 324699 -247380.0 106972.7510 6|2 779300 207221.0 75060.5123 6|3 731695 159616.0 44534.5266 6|4 696276 124197.0 26962.8754 6|5 680495 108416.0 20546.1642 6|6 324877 -247202.0 106818.8638 Sum of above chi squares: 2350534.6038 Dice roll statistics (by sum, for 'Shooter 1 - Pro Test, expert' - come out rolls only): Number of dice rolls/throws: 5,927,971 Roll # Rolled # Expected Difference Chi Square 2 93767 164665.9 -70898.9 30526.3548 3 186766 329331.7 -142565.7 61715.8439 4 370321 493997.6 -123676.6 30963.5063 5 740564 658663.4 81900.6 10183.8064 6 923817 823329.3 100487.7 12264.5662 7 1295240 987995.2 307244.8 95546.4063 8 925740 823329.3 102410.7 12738.4635 9 741234 658663.4 82570.6 10351.1083 10 370356 493997.6 -123641.6 30945.9836 11 186847 329331.7 -142484.7 61645.7350 12 93319 164665.9 -71346.9 30913.3572 Sum of above chi squares: 387795.1315 Dice outcome statistics (for 'Shooter 1 - Pro Test, expert' - come out rolls only): Number of dice rolls/throws: 5,927,971 # expected per outcome: 164,665 Outcome # Rolled Difference Chi Square 1|1 93767 -70898.0 30525.7730 1|2 93218 -71447.0 31000.3571 1|3 93302 -71363.0 30927.5060 1|4 93297 -71368.0 30931.8399 1|5 93991 -70674.0 30333.1872 1|6 93791 -70874.0 30505.1096 2|1 93548 -71117.0 30714.6491 2|2 183252 18587.0 2098.0571 2|3 276998 112333.0 76632.5746 2|4 276356 111691.0 75759.1442 2|5 277521 112856.0 77347.8076 2|6 93342 -71323.0 30892.8450 3|1 93767 -70898.0 30525.7730 3|2 276521 111856.0 75983.1460 3|3 184107 19442.0 2295.5173 3|4 277226 112561.0 76943.9694 3|5 276806 112141.0 76370.8370 3|6 93489 -71176.0 30765.6331 4|1 93748 -70917.0 30542.1364 4|2 276255 111590.0 75622.1911 4|3 277181 112516.0 76882.4599 4|4 184008 19343.0 2272.1990 4|5 276877 112212.0 76467.5732 4|6 93491 -71174.0 30763.9041 5|1 93108 -71557.0 31095.8871 5|2 276453 111788.0 75890.7901 5|3 277721 113056.0 77622.1974 5|4 276687 112022.0 76208.8391 5|5 183440 18775.0 2140.7137 5|6 93211 -71454.0 31006.4319 6|1 93068 -71597.0 31130.6617 6|2 93863 -70802.0 30443.1616 6|3 94181 -70484.0 30170.3110 6|4 93425 -71240.0 30820.9856 6|5 93636 -71029.0 30638.6836 6|6 93319 -71346.0 30912.7727 Sum of above chi squares: 1541185.6255 Dice roll statistics (by sum, for 'Shooter 1 - Pro Test, expert' - point rolls only): Number of dice rolls/throws: 14,666,879 Roll # Rolled # Expected Difference Chi Square 2 232158 407413.3 -175255.3 75388.8538 3 817648 814826.6 2821.4 9.7692 4 1163965 1222239.9 -58274.9 2778.4773 5 1780759 1629653.2 151105.8 14010.9293 6 2332870 2037066.5 295803.5 42953.7735 7 2000675 2444479.8 -443804.8 80574.4958 8 2340583 2037066.5 303516.5 45222.9948 9 1786115 1629653.2 156461.8 15021.7774 10 1161527 1222239.9 -60712.9 3015.8222 11 819021 814826.6 4194.4 21.5910 12 231558 407413.3 -175855.3 75905.9365 Sum of above chi squares: 354904.4207 Dice outcome statistics (for 'Shooter 1 - Pro Test, expert' - point rolls only): Number of dice rolls/throws: 14,666,879 # expected per outcome: 407,413 Outcome # Rolled Difference Chi Square 1|1 232158 -175255.0 75388.6475 1|2 586776 179363.0 78964.3084 1|3 601666 194253.0 92619.1064 1|4 634246 226833.0 126292.5088 1|5 683218 275805.0 186710.7776 1|6 231992 -175421.0 75531.5300 2|1 230872 -176541.0 76499.0923 2|2 330687 -76726.0 14449.4139 2|3 328648 -78765.0 15227.6074 2|4 329540 -77873.0 14884.6604 2|5 280484 -126929.0 39544.5679 2|6 231917 -175496.0 75596.1298 3|1 231612 -175801.0 75859.1199 3|2 586720 179307.0 78915.0082 3|3 585429 178016.0 77782.7322 3|4 488187 80774.0 16014.3124 3|5 504929 97516.0 23340.8611 3|6 232018 -175395.0 75509.1419 4|1 231145 -176268.0 76262.6814 4|2 503554 96141.0 22687.2777 4|3 489163 81750.0 16403.6555 4|4 588789 181376.0 80746.6953 4|5 587506 180093.0 79608.3793 4|6 230963 -176450.0 76420.2480 5|1 231129 -176284.0 76276.5269 5|2 279218 -128195.0 40337.3432 5|3 329511 -77902.0 14895.7485 5|4 329077 -78336.0 15062.1823 5|5 327713 -79700.0 15591.2796 5|6 232162 -175251.0 75385.2062 6|1 231631 -175782.0 75842.7235 6|2 685437 278024.0 189727.2413 6|3 637514 230101.0 129957.7338 6|4 602851 195438.0 93752.5603 6|5 586859 179446.0 79037.4066 6|6 231558 -175855.0 75905.7296 Sum of above chi squares: 2453030.1453