Odds of Craps

The probability of a win and player edge (expected result) for each type of bets are listed in the following summary table:

Bet Probability, % Player Edge
win loss
Pass Line 49.2929 50.7071 -7/495 -1.4141%
Don’t Pass Line 47.9293 49.2929 -3/220 -1.3636%
Come 49.2929 50.7071 -7/495 -1.4141%
Don’t Come 47.9293 49.2929 -3/220 -1.3636%
Pass\Come Odds Bets
4 or 10 33.3333 66.6667 0 0%
5 or 9 40.0000 60.0000 0 0%
6 or 8 45.4545 54.5455 0 0%
Don’t Pass\Come Odds Bets
4 or 10 66.6667 33.3333 0 0%
5 or 9 60.0000 40.0000 0 0%
6 or 8 54.5455 45.4545 0 0%
Win Bets
4 or 10 33.3333 66.6667 -1/15 -6.6667%
5 or 9 40.0000 60.0000 -1/25 -4.0000%
6 or 8 45.4545 54.5455 -1/66 -1.5152%
Lose Bets
4 or 10 66.6667 33.3333 -1/15 -6.6667%
5 or 9 60.0000 40.0000 -2/35 -5.7143%
6 or 8 54.5455 45.4545 -1/55 -1.8182%
Hardways
2:2 or 5:5 11.1111 88.8889 -1/9 -11.1111%
3:3 or 4:4 9.0909 90.9091 -1/11 -9.0909%
Big 6 or Big 8 45.4545 54.5455 -1/11 -9.0909%
Field Bet 44.4444 55.5556 -1/18 -5.5556%
Any Seven 16.6667 83.3333 -1/6 -16.6667%
Any Craps 11.1111 88.8889 -1/9 -11.1111%
1:1 or 6:6 2.7778 97.2222 -5/36 -13.8889%
1:2 or 5:6 5.5556 94.4444 -1/9 -11.1111%

According to this table, we can conclude: the Odds Bets are fair, but it is necessary to bet on Pass\Come or Don’t Pass\Come before betting on Odds Bets. Thus, the best strategy is to combine these bets.

The rest of the bet you should better never make.