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Poker, Blackjack, and other Gambling Odds and Statistics

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Basic Craps Odds

Wager Type House Advantage
Pass Line No Odds Including Come Out 1.42%
Pass Line Single Odds Including Come Out 0.85%
Pass Line Double Odds Including Come Out 0.61%
Pass Line After Come Out No Odds 18.79%
Don't Pass (Bar 2 or 12)  (at 2X odds) 1.4%
Lay 4 or 10    Vig paid only if won 1.64%
Lay 5 or 9    Vig paid only if won 1.96%
Lay 6 or 8    Vig paid only if won 2.22%
Buy 4 or 10    Vig paid only if won 1.64%
Buy 5 or 9    Vig paid only if won 1.96%
Buy 6 or 8    Vig paid only if won 2.22%


Bet
Amount
Payoff if bet wins Number Ways to Win Ways to
Lose
Total House Advantage
$6 $7 6 or 8 5 6 11 1.52%
$5 $5 Big 6 or Big 8 5 6 44 9.09%
$5 $7 5 or 9 4 6 10 4.0%
$5 $9 4 or 10 3 6 9 6.67%
$1 $15 3 or 11 2 34 36 11.11%
$1 $30 2 or 12 1 35 36 13.89%
$1 $4 Any 7 6 30 36 16.67%
$3 $13 Hop 7's 6 30 36 11.11%
$5 $5 Field - no 2X/3X on 2 or 12 16 20 36 11.11%
$5 $5 Field 2X on 2 & 12       5.26%
$5 $5 Field 3X on 2 or 12       2.78%
$2 $29 Horn 2 & 12 2 34 36 13.89%
$2 $14 Horn 3 & 11 4 32 36 11.11%
$4 $43 Combined Horn 6 66 72 12.5%
$5   Whirl (World) 12 96 108 13.33%
$1 $9 Hard 6 or 8 1 10 11 9.09%
$1 $7 Hard 4 or 10 1 8 9 11.11%

Proposition Bets
Bet Description Pays House Edge
2 2 on next roll 30-1 13.89%
3 3 on next roll 15-1 11.11%
7 7 on next roll 4-1 16.67%
11 11 on next roll 15-1 11.11%
12 12 on next roll 30-1 13.89%
Any craps 2, 3, or 12 on next roll 7-1 11.11%
Field (loose) 2, 3, 4, 9, 10, 11, or 12 on next roll. see above 2.78%
Field (tight) 2, 3, 4, 9, 10, 11, or 12 on next roll. see above 5.56%
Hop (two numbers) Any specific two numbers on next roll 15-1 11.11%
Hop (one number) Any specific pair of numbers on next roll 30-1 13.89%
Horn 2, 3, 11, or 12 on next roll see above 12.50%
Horn - 2 or 12 high 2, 3, 11, or 12 on next roll, double portion on 2 or 12 see above 12.78%
Horn - 3 or 11 high 2, 3, 11, or 12 on next roll, double portion on 3 or 11 see above 12.22%
World 2, 3, 7, 11, or 12 on next roll see above 13.33%

[source: Wizard of Odds]