How to Calculate Craps Betting Odds
What are the odds that you'll win big at the craps table? That depends on your ability to calculate how often each roll can be expected to appear--something the casino has already figured out and holds as an advantage over you. If you remember studying mathematical probabilities in the form of combinations and permutations of numbers in school, your knowledge hasn't been wasted. Knowing how to calculate the betting odds when playing craps can make you a better (and more profitable) player.
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Instructions
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Start with some basics. In craps, two dice are thrown, with each possessing six sides and each side representing a number from 1 to 6.
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Understand that if you're tempted to think that there are twelve possible combinations that can come up on a roll, you would be incorrect.
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Pull out the permutation rule from high school. The actual probability of combinations that can be rolled from a pair of dice is 36 and not 12. Why? Because there are 6 sides to each die, and six times six equals 36, not 12.
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Go a step further to calculate the betting odds on rolling a certain number. Let's say you were betting odds on rolling a 7. How many ways can you roll a 7 with 2 die? First, there are 3 possible ways to get a sum of 7 from the numbers 1 to 6: 1 + 6, 2 + 5 and 3 + 4. However, because you're throwing two dice in craps, you would multiply 3 by 2 to obtain six possible ways to roll a 7 with a pair of dice.
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Use the same strategy to calculate a probable payoff with the odds. For instance, let's use 7 again as our example. To calculate your likelihood of rolling a 7 at any given time, you would take the total number of possible outcomes to roll a 7 (six) and divide it by the total number of possible outcomes from two die (36), then multiply by 100. The result is a 16.6 percent chance of rolling a 7.
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Learn more about how to calculate payoff odds for place bets and passline bets online at the Craps Pit (see Resources below).
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Tips & Warnings
There's a reason the number 7 is so prominent in the game of craps. It's because it's the number most frequently rolled with a pair of dice.
Resources
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Comments
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chiabai
Apr 04, 2010
Given 1000 draws of 3-number combinations of integers 0 thru 9, Is there a formula/equation I can use to find the 3 number combinations (in any order: 357, 537,753...ect)that have occured most often...2nd most often, 3rd...
