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Craps
Odds
Knowing the mathematical odds of the dice achieving a certain
outcome is the essence of the game. If you are going to play for
money then try and remember these odds.
You will be at a slight disadvantage with the Pass Line bet
since the odds of the dice winning are only 970 times out of 1980. The
edge against the dice passing works out as 1.414%.
The following table illustrates the bets found on
Vegas/Nevada, Atlantic City, etc. Bank Craps tables. Bets in red can be made in other ways at better
odds.
|
Bet |
True Odds |
Pay-off |
House Edge % |
|
Pass Line/Come Bet |
251 to 244 |
1 to 1 |
1.414 |
|
Don't Pass/Don't Come Bet |
976 to 949 |
1 to 1 |
1.402 |
|
Pass Line Odds/Come Bet
Odds/Buy Bets (5% commission) |
|
Numbers 4 or 10 |
2
to 1 |
2 to 1 |
4.76 |
|
Numbers 5 or 9 |
3
to 2 |
3 to 2 |
4.76 |
|
Numbers 6 or 8 |
6
to 5 |
6 to 5 |
4.76 |
|
Don't Pass Odds/Don't Come
Bet Odds/Lay Bets (5% commission) |
|
Numbers 4 or 10 |
1
to 2 |
1 to 2 |
2.44 |
|
Numbers 5 or 9 |
2
to 3 |
2 to 3 |
3.23 |
|
Numbers 6 or 8 |
5
to 6 |
5 to 6 |
4.0 |
|
Field
Bets |
|
3, 4, 9, 10, 11 |
|
1 to 1 |
5.5 |
|
2, 12 |
|
2 to 1 |
5.5 |
|
Place
Bets |
|
Numbers 4 or 10 |
2 to 1 |
9 to 5 |
6.7 |
|
Numbers 5 or 9 |
3
to 2 |
7 to 5 |
4.0 |
|
Numbers 6 or 8 |
6
to 5 |
7 to 6 |
1.52 |
|
Hardways
|
|
6 or 8 |
10 to 1 |
9 to 1 |
9.09 |
|
4 or 10 |
8
to 1 |
7 to 1 |
11.1 |
|
One Roll
Bets |
|
Any 7 |
5
to 1 |
4 to 1 |
16.9 |
|
Any craps |
8
to 1 |
7 to 1 |
11.1 |
|
2 craps or 12 craps |
35
to 1 |
30 to 1 |
13.9 |
|
3 craps or 11 |
17
to 1 |
15 to 1 |
11.1 |
|
Horn
Bet (3 or 11) |
|
3.75 to 1 |
|
|
Horn
Bet (2 or 12) |
|
7.5 to 1 |
|
|
Big 6 or
8 |
|
1
to 1 |
9.09 |
British
casinos are tightly regulated and
pay better odds on some bets. The following table illustrates the
differing bets found in British casinos.
|
Bet |
True Odds |
Pay-off |
House Edge % |
|
Hardways |
|
4 or 10 |
8 to 1 |
15 to 2 |
5.56 |
|
6 or 8 |
10 to 1 |
19 to 2 |
4.55 |
|
Place Bet: 4 or
10 |
2 to 1 |
19 to 10 |
3.33 |
|
2
craps or 12 craps |
35 to 1 |
33 to 1 |
|
|
There is no Big 6 or 8 |
- |
- |
------ |
|
|
- |
- |
------ |
Bar 1-2 Some greedy casinos (on cruise ships perhaps) bar
1-2 and not 1-1 or 6-6. This gives them a greater edge on Don't
Pass/Don't Come bets.
|
Bet |
True Odds |
Pay-off |
House Edge % |
|
Don't Pass/Don't Come |
|
1 to1 |
4.40 |
There are 36 possible outcomes of
two dice. The following tables show the true odds for the specified
outcome of the dice.
(A) This column gives the number of
possible ways of making the dice total.
(B) This column gives the odds against
making the dice total in a single roll.
(C) This column gives the odds against
rolling the dice total before a 7.
(D) These columns give the odds against
making the higher dice total before the lower dice total. e.g. 12 before 6
= 5 - 1. For making the lower number before the higher, reverse the odds.
e.g. 6 before 12 = 1 - 5.
| Dice |
A |
B |
C |
D> |
> |
|
|
|
|
|
|
|
|
|
|
12 |
1 |
35 - 1
|
6-1 |
12 |
|
|
|
|
|
|
|
|
|
|
|
11 |
2 |
17 -
1 |
3-1 |
2-1 |
11 |
|
|
|
|
|
|
|
|
|
|
10 |
3 |
11 - 1
|
2-1 |
3-1 |
3-2 |
10 |
|
|
|
|
|
|
|
|
|
9 |
4 |
8 -
1 |
3-2 |
4-1
|
2-1
|
4-3 |
9 |
|
|
|
|
|
|
|
|
8 |
5 |
6 -
1 |
6-5
|
5-1
|
5-2
|
5-3
|
5-4 |
8 |
|
|
|
|
|
|
|
7 |
6 |
5 - 1
|
- |
6-1 |
3-1 |
2-1 |
3-2 |
6-5 |
7 |
|
|
|
|
|
|
6 |
5 |
6 -
1 |
6-5 |
5-1 |
5-2 |
5-3 |
5-4 |
1-1 |
5-6 |
6 |
|
|
|
|
|
5 |
4 |
8 -
1 |
3-2
|
4-1 |
2-1 |
4-3 |
1-1 |
4-5 |
2-3 |
4-5 |
5 |
|
|
|
|
4 |
3 |
11 -1
|
2
-1 |
3-1 |
3-2
|
1-1 |
3-4 |
3-5 |
1-2 |
3-5 |
3-4 |
4 |
|
|
|
3 |
2 |
17 -
1 |
3-1 |
2-1 |
1-1 |
2-3 |
1-2 |
2-5 |
1-3 |
2-5 |
1-2 |
2-3 |
3 |
|
|
2 |
1 |
35 -
1 |
6-1 |
1-1
|
1-2 |
1-3 |
1-4 |
1-5 |
1-6 |
1-5 |
1-4 |
1-3 |
1-2 |
2 |
|
|
|
|
|
|
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Hardway Odds of making a number as a double, before a 7 or as another combination.
|
Hardway |
Odds |
|
4 (2 + 2) |
8
- 1 |
|
6 (3 + 3) |
10
- 1 |
|
8 (4 + 4) |
10
- 1 |
|
10 (5 + 5) |
8 - 1 |
Odds against rolling a specified double are
35 - 1
Odds against rolling a specified combination of
two differing numbers are 17 - 1
Odds against rolling craps are 8 -
1
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