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    Rick314
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    I made the following table of craps odds back in 1995 and shared it then on Usenet group rec.gambling.craps. I derived all these results, and invite discussion or verification. I am an electrical/software engineer that enjoys recreational mathematics.

    
    Analysis of Craps Bets by Rick Nungester, last updated 4/24/16.
    
                                       True      Payoff     House Advantage
     # Bet                             Odds       Odds      (ratio)   (%)
    == ============================== ======= ============= ======== ======
     1 Pass/Come                      251/244      1/1        7/495  1.414%
     2 Pass/Come w/single odds        251/244    617/610      7/825  0.848%
     3 Pass/Come w/max single odds    251/244  12863/12688   21/2860 0.734%
     4 Pass/Come w/dbl odds           251/244     62/61       1/165  0.606%
     5 Pass/Come w/max dbl odds       251/244   1367/1342     3/605  0.496%
     6 Don't Pass/Come                976/949      1/1       27/1925 1.403%
     7 Don't Pass/Come*               244/251    949/1004     3/220  1.364%
     8 Don't Pass/Come w/single odds  976/949  68351/67379   27/3905 0.691%
     9 Don't Pass/Come w/single odds* 244/251   1925/2008     3/440  0.682%
    10 Don't Pass/Come w/dbl odds     976/949 103487/101543  27/5885 0.459%
    11 Don't Pass/Come w/dbl odds*    244/251    967/1004     1/220  0.455%
    12 Place 4 or 10 to win             2/1        9/5        1/15   6.667%
    13 Place 5 or 9 to win              3/2        7/5        1/25   4.000%
    14 Place 6 or 8 to win              6/5        7/6        1/66   1.515%
    15 32 across the board (6 Places)   1/4      425/2112   103/2640 3.902%
    16 Place 4 or 10 to lose            1/2        5/11       1/33   3.030%
    17 Place 5 or 9 to lose             2/3        5/8        1/40   2.500%
    18 Place 6 or 8 to lose             5/6        4/5        1/55   1.818%
    19 Buy 4 or 10                      2/1       13/7        1/21   4.762%
    20 Buy 5 or 9                       3/2       29/21       1/21   4.762%
    21 Buy 6 or 8                       6/5       23/21       1/21   4.762%
    22 Lay 4 or 10                      1/2       19/41       1/41   2.439%
    23 Lay 5 or 9                       2/3       19/31       1/31   3.226%
    24 Lay 6 or 8                       5/6       19/25       1/25   4.000%
    25 Field (double 2 or 12)           5/4        9/8        1/18   5.556%
    26 Field (double 2, triple 12)      5/4       19/16       1/36   2.778%
    27 Big 6 or 8                       6/5        1/1        1/11   9.091%
    28 Big 6 or 8 (Atlantic City)       6/5        7/6        1/66   1.515%
    29 Hardway 4 or 10                  8/1        7/1        1/9   11.111%
    30 Hardway 6 or 8                  10/1        9/1        1/11   9.091%
    31 2 or 12                         35/1       30/1        5/36  13.889%
    32 2 or 12 (Nevada)                35/1       29/1        1/6   16.667%
    33 3 or 11 (E, "yo")               17/1       15/1        1/9   11.111%
    34 3 or 11 (E, "yo") (Nevada)      17/1       14/1        1/6   16.667%
    35 Any 7                            5/1        4/1        1/6   16.667%
    36 Any Craps (C)                    8/1        7/1        1/9   11.111%
    37 Hop (6 doubles)                 35/1       30/1        5/36  13.889%
    38 Hop (15 non-doubles)            17/1       15/1        1/9   11.111%
    39 Craps-Eleven (CE)                5/1       13/3        1/9   11.111%
    40 Craps-Eleven (CE) (Nevada)       5/1       25/6        5/36  13.889%
    41 Horn                             5/1       17/4        1/8   12.500%
    42 Horn (Nevada)                    5/1        4/1        1/6   16.667%
    43 Whirl                            4/1       16/5        4/25  16.000%
    44 Whirl*                           2/1        8/5        2/15  13.333%
    45 Whirl (Nevada)                   4/1        3/1        1/5   20.000%
    46 Whirl* (Nevada)                  2/1        3/2        1/6   16.667%
    
    • This topic was modified 4 years, 11 months ago by  Rick314.
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