# Calculate probability of winning craps

A CASINO GAME OF PURE CHANCE. Craps is an exciting game with lots of action. For instance, what is the probability of winning if you initially roll a total of 5? One question I get asked a lot is "what is the probability of a shooter lasting x rolls in craps?" Winning Craps for the Serious Player by J. Edward Allen;. In order to fully understand how good your chances are at winning, Calculating the Odds in Craps. The formula used to calculate the odds the probability is.

## CrapsPit.org

Case 3 — The point is 6 or 8. There are ten cells containing 5 or 7. This continues for all 5 balls drawn, so the probability of drawing five blue balls can be calculated by: Ready to Play Craps? We imagine that we are playing a series of N craps games; and, since we are using the View 1 definition of a game, the occurrence of a push does not end the current game.

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Probability is the measure of how likely an event is to occur out of the number of possible outcomes. To calculate probability, you will need to divide the number of events, or what you want to calculate, by the number of possible outcomes, or how many total options there are. For example, if you want to calculate the probability of rolling a 1 on a 6-sided die, you have 1 event "rolling a 1" and 6 possible outcomes "the different sides". In this case, divide 1 by 6 to get 0.

Multiply that number by to get your probability as a percent. Define your events and outcomes. Probability is the likelihood of one or more events happening divided by the number of possible outcomes. So, let's say you're trying to find the likelihood of rolling a three on a six-sided die.

Here are two more examples to help you get oriented: What is the likelihood of choosing a day that falls on the weekend when randomly picking a day of the week? A jar contains 4 blue marbles, 5 red marbles and 11 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is red? Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.

In the case of rolling a three on a die, the number of events is one there's only one three on each die , and the number of outcomes is six. Here's how you find the probability of our remaining examples: The number of events is two since two days out of the week are weekends , and the number of outcomes is seven.

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The dice game craps is played as follows: It's what happens if the game doesn't end in the 1st roll that's got me a bit confused, since it could go on and indeterminate number of rolls. But since it can't be 7,11,2,3,or 12, it depends on if they roll a 4,5,6,8,9, or Note, this is not a homework problem, but an intriguing one I found in a different book "Probability Models, Sheldon Ross".

For the remaining cases, you need to sum over all remaining rolls. By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service , privacy policy and cookie policy , and that your continued use of the website is subject to these policies.

Questions Tags Users Badges Unanswered. Probability of winning a game of craps. Jabernet 8 How does one win the game after the first roll? By getting a sum of 11? ChrisJWelly, if the game isn't won in the first roll, the game is won by rolling in a consecutive roll the same number rolled in the first roll, or lost by rolling a 7. Ok, I have got your idea but let me rewrite it.

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## Best online craps odds

Again, when it comes to playing online craps , the numbers you roll are out of your control and can only be determined by luck, but understanding the odds of rolling the numbers can help you make the right play and teach you which bets are the best ones to choose based on the odds.

Here are the odds for all the possible numbers that can be rolled in craps:. Starting with the hardest numbers to roll, 2 and 12 can only come up based on 1 possible dice combination each: That means the craps odds of rolling either of these number are 1: In craps the harder it is to roll the number, the higher it pays out.

After 6 and 12 comes the 3 and the 11, which can be made from two different dice combinations respectively and offer odds of 1: There are four possible combos for rolling 5 and 9 and the odds for either are 1: The 6 and 8 can be made in 5 difference ways using a set of dice and present the player with 1: Finally comes the 7, which can be rolled 6 different ways using a pair of dice and it has odds of 1: Now let's look at some of the wagering odds. The following table illustrates the odds and payouts of craps bets at a Las Vegas casino.

This chart can also be used as a general guide for online craps:. Contact us at crapsage[AT]yahoo. Free Craps Game Web archives will be available soon, as is change list on list of user requirements, contribution and change log. If you cannot find the information you need about craps , Here's some other resources listed here. Here are the odds for all the possible numbers that can be rolled in craps: This chart can also be used as a general guide for online craps:

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