Probability Calculator Craps



  1. The following image shows a tree that can help us calculate the probability of winning a pass line bet in craps. Here W stands for “Win”, L stands for “Lose”; and, the fractions in the light blue boxes attached to the branch segments are probabilities.
  2. The probability of rolling any of the other numbers can be calculated in the same fashion. Once players understand how to calculate probability, they can proceed to calculate the house edge. It would be best to provide an example to make things as clear as possible. The Craps 2 bet wins whenever a total of 2 comes up on the next roll of the dice.

Craps Odds and Probabilities - Calculating Craps Combinations

Probability

Calculating craps odds and probability seems hard, but it's not as complicated as one might think. When calculating the probabilities of any gambling activity, the first thing one looks at is the number of potential outcomes. When rolling two six-sided dice, like you in a game of craps, there are 36 possible outcomes. (There are only 11 possible totals, 2 through 12, but there are 36 combinations that can result in those totals.)

There is only one way to roll a 2 (or a 12). Roll a 1 on each die (or a 6 on each die.) Since there are 36 possible combinations, and only 1 of those combinations can total 2, the probability of getting a 2 on a roll is 1 out of 36, or 35 to 1, as stated in odds terms. There are 2 ways to roll a 3 though - you can roll a 1 and a 2, or roll a 2 and a 1, so the probability of rolling a 3 is 2 out of 36. 2 out of 36 is the same as 1 out of 18, which stated in odds terms is 17 to 1.

Here's a chart outlining the possible combinations, how many ways each total can be rolled, and what the odds are for each total.

Probability

Any Craps Any Seven: What is the probability of consecutive? What is the probability that exactly decisions will. Out of total decisons?

TotalNumber of Ways to Roll This TotalOddsCombinations
2135 to 11,1
3217 to 11,2 + 2,1
4311 to 11,3 + 3,1 + 2,2
548 to 11,4 + 4,1 + 2,3 + 3,2
656.2 to 11,5 + 5,1 + 2,4 + 4,2 + 3,3
765 to 11,6 + 6,1 +2,5 + 5,2 + 3,4 + 4,3
856.2 to 12,6 + 6,2 + 3,5 + 5,3 +4,4
948 to 13,6 + 6,3 + 4,5 +5,4
10311 to 14,6 + 6,4 + 5,5
11217 to 15,6 + 6,5
12135 to 16,6

Calculating the Odds in Craps

The formula used to calculate the odds of rolling a specific total in craps is actually pretty simple. Divide 36 by the number of combinations that will make that total. Since there are 6 combinations which will total 7, the probability is 36 divide by 6, or 1 in 6 chance of rolling a 7.

Converting this to odds is easy to. Odds are always stated as the number of possibilities of something not happening versus the number of possibilities of something happening. For every roll of 7 there will be 5 rolls that aren't 7.

Craps Probabilities and the House Edge

The house edge is the difference between what the house pays out on a bet and it's true odds. For example, if a casino pays $30 for a $1 bet that someone will roll a 2, it's making a profit, because the true odds are 35 to 1. To be a break even bet, the casino would need to pay out $35 on that bet. (And return the $1 bet.) But if a casino had nothing but break even bets, it wouldn't make a profit. Without a profit, they'd have no reason to exist, and one wouldn't get to play craps.

It's good to understand how probabilities and odds are calculated because not all bets have as high a house edge as other bets. If one understands the math behind the odds, one can then choose the better bets, the ones with the lowest house edge. Choosing the bets with the lowest house edge is just good craps strategy.

Craps Odds and Probabilities - Calculating Craps Combinations

Calculating craps odds and probability seems hard, but it's not as complicated as one might think. When calculating the probabilities of any gambling activity, the first thing one looks at is the number of potential outcomes. When rolling two six-sided dice, like you in a game of craps, there are 36 possible outcomes. (There are only 11 possible totals, 2 through 12, but there are 36 combinations that can result in those totals.)

Probability Calculator Craps Free

There is only one way to roll a 2 (or a 12). Roll a 1 on each die (or a 6 on each die.) Since there are 36 possible combinations, and only 1 of those combinations can total 2, the probability of getting a 2 on a roll is 1 out of 36, or 35 to 1, as stated in odds terms. There are 2 ways to roll a 3 though - you can roll a 1 and a 2, or roll a 2 and a 1, so the probability of rolling a 3 is 2 out of 36. 2 out of 36 is the same as 1 out of 18, which stated in odds terms is 17 to 1.

Here's a chart outlining the possible combinations, how many ways each total can be rolled, and what the odds are for each total.

TotalNumber of Ways to Roll This TotalOddsCombinations
2135 to 11,1
3217 to 11,2 + 2,1
4311 to 11,3 + 3,1 + 2,2
548 to 11,4 + 4,1 + 2,3 + 3,2
656.2 to 11,5 + 5,1 + 2,4 + 4,2 + 3,3
765 to 11,6 + 6,1 +2,5 + 5,2 + 3,4 + 4,3
856.2 to 12,6 + 6,2 + 3,5 + 5,3 +4,4
948 to 13,6 + 6,3 + 4,5 +5,4
10311 to 14,6 + 6,4 + 5,5
11217 to 15,6 + 6,5
12135 to 16,6

Calculating the Odds in Craps

The formula used to calculate the odds of rolling a specific total in craps is actually pretty simple. Divide 36 by the number of combinations that will make that total. Since there are 6 combinations which will total 7, the probability is 36 divide by 6, or 1 in 6 chance of rolling a 7.

Converting this to odds is easy to. Odds are always stated as the number of possibilities of something not happening versus the number of possibilities of something happening. For every roll of 7 there will be 5 rolls that aren't 7.

Probability Calculator Craps Games

Craps Probabilities and the House Edge

Probability Calculator Craps Online

The house edge is the difference between what the house pays out on a bet and it's true odds. For example, if a casino pays $30 for a $1 bet that someone will roll a 2, it's making a profit, because the true odds are 35 to 1. To be a break even bet, the casino would need to pay out $35 on that bet. (And return the $1 bet.) But if a casino had nothing but break even bets, it wouldn't make a profit. Without a profit, they'd have no reason to exist, and one wouldn't get to play craps.

Probability Calculator Craps Game

It's good to understand how probabilities and odds are calculated because not all bets have as high a house edge as other bets. If one understands the math behind the odds, one can then choose the better bets, the ones with the lowest house edge. Choosing the bets with the lowest house edge is just good craps strategy.