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House Advantage In Roulette
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What Is House Edge In Craps
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What Is House Edge Roulette

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The house edge is a statistical way of measuring the casino’s advantage over the player. When a gambling writer suggests that a game has a house edge of 5%, they mean that you’re expected (mathematically) to lose an average of 5% of your bet every time you wager.

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Simply put, The house edge is the difference between the true odds and the odds that the casino pays you when you win. Look at this It shows the Casino’s advantage for different casino games. All are fixed except for Blackjack and Video Poker. Jan 02, 2020 Known as the House Edge, all casinos, Oklahoma casinos or otherwise, have a mathematical edge over the players. For the casino, this means that over time, the ‘house’ will rack up a profit based on percentage, which means for the player, an eventual loss. Today, I will continue with my past article which was about how to calculate the house edge when playing Craps. As I said, the same method that we used for the rest of the games cannot be applied with Craps because most of the commonly based bets in Craps are not decided in a single roll, unlike Roulette in which all bets are decided in one single spin.

On This Page

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?

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

House Advantage In Roulette

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

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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
AU Australia rules
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.

Craps House Edge

Bet	Pays	Probability Win	House Edge
2, 12, and all 'hard' hop bets	33

2021.04

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