Introduction

One argument that comes up a lot is how to quantify the house edge in craps. Normally the house edge is defined as the ratio of expected loss to the initial bet. However, how do you treat bets, like the place bet for example, when many rolls may be required to resolve the bet and the player can take it down anytime? Is it a push or should we assume the bet will stay on the table until resolved?

1) Placing the 6 and 8. Consider a $6 place bet on the 6. There are only 11 happenings out of 36 in this universe that produce a decision: 5 wins x $7 and 6 losses of $6 for a net loss of 1 unit. Having bet 11 X $6 the loss is 1/66 or -1.51515%. However, consider a $6 place bet on BOTH the 6 and 8 simultaneously. Now we have a 16 possible game. Jan 22, 2019 Craps: 6 and 8 Place Bet Strategies It’s no surprise that multitudes of strategies have been developed around place betting the (6) & (8) as these numbers give the craps player one of the be best advantages of beating the casinos. First of all, both the (6) and the (8) are the numbers likely to roll most often, next to the (7). Placing the 6 and 8. Consider a $6 place bet on the 6. There are only 11 happenings out of 36 in this universe that produce a decision: 5 wins x $7 and 6 losses of $6 for a net loss of 1 unit. Having bet 11 X $6 the loss is 1/66 or -1.51515%.

Personally, I prefer to define the house edge in craps on a 'per bet resolved' basis. However, for those who disagree, I present this page, which defines the house edge all three ways.

Multi-Roll Bets

The big 6 and big 8 bets in craps are situated at both ends of the craps table. The big 6 bet is a wager predicting that a 6 will be rolled out before a 7. While the big 8 bet predicts that an 8 will be rolled before a 7. It is important to note that if any other number is rolled, it will not affect the overall result of the dice roll.

The following table shows the house edge of all the bets in craps which may take multiple rolls to resolve. Casino 21 rules card game. The house edge is shown three ways: per bet made, per bet resolved, and per roll.

Craps House Edge

Bet	Pays	Expected Rolls	House Edge Per Bet Made	House Edge Per Bet Resolved	House Edge Per Roll
Pass	1 to 1	3.38	1.41%	1.41%	0.42%
Don't Pass	1 to 1	3.47	1.36%	1.40%	0.40%
Taking Odds 6 and 8	6 to 5	3.27	0.00%	0.00%	0.00%
Taking Odds 5 and 9	3 to 2	3.60	0.00%	0.00%	0.00%
Taking Odds 4 and 10	2 to 1	4.00	0.00%	0.00%	0.00%
Laying Odds 6 and 8	5 to 6	3.27	0.00%	0.00%	0.00%
Laying Odds 5 and 9	2 to 3	3.60	0.00%	0.00%	0.00%
Laying Odds 4 and 10	1 to 2	4.00	0.00%	0.00%	0.00%
Place 6 and 8	7 to 6	3.27	0.46%	1.52%	0.46%
Place 5 and 9	7 to 5	3.60	1.11%	4.00%	1.11%
Place 4 and 10	9 to 5	4.00	1.67%	6.67%	1.67%
Big 6 and 8	1 to 1	3.27	2.78%	9.09%	2.78%
Don't Place 6 and 8	4 to 5	3.27	0.56%	1.82%	0.56%
Don't Place 5 and 9	5 to 8	3.60	0.69%	2.50%	0.69%
Don't Place 4 and 10	5 to 11	4.00	0.76%	3.03%	0.76%
Buy 6 and 8 *	23 to 21	3.27	1.46%	4.76%	1.46%
Buy 5 and 9 *	29 to 21	3.60	1.32%	4.76%	1.32%
Buy 4 and 10 *	39 to 21	4.00	1.19%	4.76%	1.19%
Buy 6 and 8 **	23 to 20	3.27	0.69%	2.27%	0.69%
Buy 5 and 9 **	29 to 20	3.60	0.56%	2.00%	0.56%
Buy 4 and 10 **	39 to 20	4.00	0.42%	1.67%	0.42%
Lay 6 and 8 *	19 to 25	3.27	1.22%	4.00%	1.22%
Lay 5 and 9 *	19 to 31	3.60	0.90%	3.23%	0.90%
Lay 4 and 10 *	19 to 41	4.00	0.61%	2.44%	0.61%
Lay 6 and 8 **	19 to 24	3.27	0.69%	2.27%	0.69%
Lay 5 and 9 **	19 to 30	3.60	0.56%	2.00%	0.56%
Lay 4 and 10 **	19 to 40	4.00	0.42%	1.67%	0.42%
Hard 6 and 8 (US)	9 to 1	3.27	2.78%	9.09%	2.78%
Hard 6 and 8 (AU)	19 to 2	3.60	1.39%	4.55%	1.26%
Hard 4 and 10 (US)	7 to 1	4.00	2.78%	11.11%	2.78%
Hard 4 and 10 (AU)	15 to 2	4.00	1.39%	5.56%	1.39%

Footnotes:
* Commission always paid
** Commission on win only Place

AU Australia rules
Craps

US United States rules

Let me add two more things, based on frequent reader comments:

Some of these bets may not exist anywhere on earth. For example, I've never seen a casino with buy bets on a 5, 6, 8, and 9 where the commission was payable on a win only. Nevertheless, I don't know the rules of every craps table on earth. I also know that if I omit such bets, somebody will write in and take me to task for the omission.
The table above assumes wins are calculated exactly. In other words, no rounding up or down. Let me make it perfectly clear that you can lower the house edge if the dealers will round a win up or a commission down. A common one is a 5% commission on a $25 bet is $1.25. If the casino rounds that down to $1, then that cuts the commission to 4%. Finding other situations is an exercise left up to the reader.

Single-Roll Bets

The following table shows the house edge of all the bets in craps which are always resolved in a single roll, except the field. Thus, there can be only one way to define the house edge. Aria daily poker tournament results.

Craps House Edge

Bet	Pays	Probability Win	House Edge
2, 12, and all 'hard' hop bets	33	2.78%	5.56%
2, 12, and all 'hard' hop bets	32	2.78%	8.33%
2, 12, and all 'hard' hop bets	31	2.78%	11.11%
2, 12, and all 'hard' hop bets	30	2.78%	13.89%
2, 12, and all 'hard' hop bets	29	2.78%	16.67%
3, 11, and all 'easy' hop bets	16	5.56%	5.56%
3, 11, and all 'easy' hop bets	15	5.56%	11.11%
3, 11, and all 'easy' hop bets	14	5.56%	16.67%
Any craps (2, 3, or 12)	7	11.11%	11.11%
Any craps (2, 3, or 12)	7.5	11.11%	5.56%
Any seven (US)	4	16.67%	16.67%
Any seven (AU)	4.5	16.67%	8.33%

Field

Craps Place Bet 6 And 8 Years

If the field bet pays 2 to 1 on both the 2 and 12, then the house edge is 5.56%.