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Craps Odds Calculator: Dice Probability, True Odds and Payouts

A 6 comes up before a 7 about 45 times in 100, and a craps odds calculator turns that fact into a price: what the bet should pay, what the casino actually pays and how much the gap costs you. The calculator above does it for every bet on the layout and for the rule variations that change those prices.

It has two halves. The bet calculator takes a bet, a stake and the table rules and returns the payout, the true odds, the house edge and the cost per roll. The dice side answers probability questions about totals. Below you will find what each part does, several worked examples and the arithmetic, if you want to do it yourself.

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Dice probability

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What the craps odds calculator does

Every craps price comes from one fact: two six-sided dice make 36 equally likely combinations. The craps odds calculator starts there. It counts the ways a bet wins and loses, compares that with what the bet pays, and reports the gap as a house edge. The same engine prices every bet elsewhere on this site, so the figures always agree.

The two halves answer different questions. The bet calculator is a craps payout calculator: it cares about a stake, a payout and the rules at a particular table. The dice probability calculator ignores bets entirely and answers questions about totals, such as how often an 8 appears or how likely a 12 is in a hundred rolls.

Nothing is stored and nothing needs an account, which makes it quick to open at a table on your phone. If you would rather learn the theory first, our guide to craps odds explains where each figure comes from, and the calculator is there to check the numbers as you go.

The bet calculator: payout, true odds and house edge

Choose a bet and enter a stake. The calculator returns four things: the payout for that stake, the true odds of the bet, the house edge and the cost per roll. A $12 place bet on the 6, for instance, pays $14, against true odds of 6 to 5, for a house edge of 1.52%.

The cost per roll matters because bets stay on the table for different lengths of time. A Pass Line bet lasts about 3.4 rolls on average, so its 1.41% edge works out to about 0.42% per roll. A Field bet is settled every roll and costs its full 5.56% each time. Compared per roll, the gap between them widens.

Table rules that change the price

Three rules vary from casino to casino, and the calculator lets you set each. The first is the Field: the 12 pays either double or triple, and triple halves the edge from 5.56% to 2.78%. The second is the commission on buy and lay bets, charged either when the bet wins or up front.

That commission rule moves the price more than most players realize. A buy bet on the 4 or 10 costs 1.67% with the commission taken on a win, and 4.76% with it taken up front. A lay bet against the 4 or 10 costs 2.44% with the commission paid up front, and 1.67% when it is only charged on wins.

The third rule is the odds multiple. The odds bet has no house edge, so the more odds a table allows, the lower the combined edge on your line bet and odds together. Pass Line with 1x odds comes to 0.85%, with 3-4-5x odds 0.37%, and with 10x odds 0.18%. Set the multiple and watch the combined figure fall.

The dice probability calculator

The second half is a dice probability calculator for three kinds of question. The first is the chance of a single total on one roll: a 7 is 16.67%, a 6 or 8 is 13.89%, a 2 or 12 is 2.78%. It shows the combinations too, so you can see why the 7 leads and the 2 and 12 trail.

The second is the one craps runs on: the chance of a total before a 7. Divide the total’s ways by its ways plus six. A 6 or 8 comes before a 7 45.45% of the time, a 5 or 9 40%, a 4 or 10 33.33%. Every point, place and buy bet is priced from those three numbers.

The third is the chance of rolling a total at least once in a set number of rolls. This is the dice roll probability calculator people want when they ask about streaks. Enter a total and a number of rolls, and it shows the chance of seeing it at least once, which is always lower than simple addition suggests.

Why the famous double-six puzzle belongs here

In 1654 the gambler known as the Chevalier de Méré asked Blaise Pascal why betting on a double six within 24 throws of two dice kept losing. Pascal and Pierre de Fermat worked it out in letters. The answer is 49.14%, just under even, and the calculator reproduces it if you enter a 12 and 24 rolls.

Worked examples with the craps odds calculator

Start with a hardway: Hard 8, $5. The calculator shows a payout of $45, because the bet pays 9 to 1, and a house edge of 9.09%. It shows the true odds of 10 to 1 against, since a hard 8 rolls one way and there are ten ways to lose: four easy 8s and six sevens.

Now an odds bet. Set $10 odds on the 5 and the calculator pays $15 at 3 to 2, with no house edge at all. Switch the point to 6 and the same $10 pays $12 at 6 to 5. Both payouts match the real chances exactly, which is why the bet is so cheap.

Then the Field under both rules. With the 12 paying double, a $10 Field bet costs about $0.56 per roll on average. With triple on the 12 the cost falls to about $0.28. Over a hundred rolls that is roughly $56 against $28 for the same box, which is why the printed payout on the felt deserves a look.

Finally the dice side. What is the chance of at least one 7 in six rolls? The calculator says 66.5%, not 100%, even though a 7 is a one-in-six shot. The chance of at least one 6 in ten rolls is 77.6%. Numbers like these explain why streaks without a seven, which feel impossible, are simply uncommon.

How to calculate craps payouts by hand

Payouts are ratios. A 7 to 6 bet pays $7 for every $6, so place bets on the 6 and 8 go down in $6 units. The 5 and 9 pay 7 to 5, and the 4 and 10 pay 9 to 5, so both go in $5 units. Bet in the right units and the payout comes out even.

Buy bets pay true odds less a 5% commission. A $20 buy on the 4 pays $40 at 2 to 1, less $1, so you collect $39. Lay bets work in reverse: a $40 lay against the 4 wins $20 at 1 to 2, and the commission is 5% of that win. See our craps payouts guide.

Props look harder than they are. A $5 Yo pays $75 at 15 to 1, and a $5 Any Seven pays $20 at 4 to 1. The Horn splits one bet across four numbers, so a $4 Horn that hits a 12 pays $30 on that unit and loses the other three, $27 net. The payout trainer drills exactly these.

What the numbers mean at a real table

A calculator gives you the long-run price, and the price is what you control. You cannot change what the dice do next, but you can choose a Place 6 at 1.52% over a Big 6 at 9.09%. Those two bets win on exactly the same rolls, and one pays 7 to 6 while the other pays even money.

That comparison is the most useful single thing the craps odds calculator shows. On most layouts the Big 6 and 8 sit in a corner within easy reach of the rail. Before you drop a chip there, set both bets in the calculator for a $6 stake and look at the payout line. Which would you rather collect?

Frequently asked questions

How does a craps odds calculator work?

It counts. Two dice have 36 equally likely combinations, so every craps probability is a fraction of 36. The craps odds calculator compares the chance of winning a bet with what the bet pays, and the difference is the house edge. Add the table rules and a stake, and it works out the payout and the cost per roll.

How do you calculate craps payouts?

Multiply the stake by the payout ratio. A place bet on the 6 pays 7 to 6, so $12 wins $14. A place bet on the 4 pays 9 to 5, so $5 wins $9. Odds on a 5 or 9 pay 3 to 2, so $10 wins $15. Buy bets pay true odds less a 5% commission.

What is the difference between true odds and payout odds?

True odds describe how likely a bet is to win. A 4 rolls three ways and a 7 six ways, so the true odds are 2 to 1 against. Payout odds are what the casino pays. A place bet on the 4 pays 9 to 5, less than 2 to 1, and that gap is its 6.67% house edge.

How do you calculate dice probability?

Count the combinations that make the total and divide by 36. An 8 comes from 2-6, 3-5, 4-4, 5-3 and 6-2, five combinations, so its chance is 5 in 36, about 13.89%. For a total before a 7, divide its ways by its ways plus the seven's six: an 8 before a 7 is 5 in 11.

What are the odds of rolling a 7 in craps?

A 7 comes from six of the 36 combinations, so its chance on any roll is 1 in 6, or 16.67%, and the odds against it are 5 to 1. It is the most common total in craps, which is why every point bet loses to it. The Any Seven bet still carries a 16.67% edge.

Can the craps odds calculator handle a field that pays triple on the 12?

Yes, and it matters. When the 2 and the 12 both pay double, the Field has a house edge of 5.56%. When the 12 pays triple, the edge halves to 2.78%. Set the rule in the craps odds calculator and it updates the payout and cost per roll, and it is worth checking the felt before you bet.

Is it better to pay the buy commission up front or on a win?

On a win, by a wide margin. A buy bet on the 4 or 10 with the 5% commission charged only when it wins has a 1.67% house edge. If the casino takes the commission up front, win or lose, the edge rises to 4.76%. Many casinos now charge on the win, but ask before you buy.

What are the odds of rolling a number at least once in several rolls?

Take the chance of missing it on one roll, raise that to the number of rolls and subtract from one. The chance of at least one 12 in 36 rolls is 1 minus 35/36 to the 36th power, about 63.7%. The dice side of the calculator does this for any total and any number of rolls.

Is there a craps payout calculator app?

The calculator on this page works on any phone browser without an app, and you can save it to your home screen. It holds every bet and the rule variations for the field, buy and lay commissions and odds multiples, so it covers everything a dedicated app would, with nothing to install and nothing stored on your device.

What does cost per roll mean in the calculator?

It spreads a bet's edge over the rolls it stays up. A Pass Line bet costs 1.41% per decision but lasts about 3.4 rolls, so it costs about 0.42% per roll. A one-roll Field bet costs its full 5.56% every roll. Cost per roll is the fairer comparison between bets that stay up for different lengths of time.