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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