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Craps – Why the house always wins

Each die, (that’s singular for dice) in the game of craps, has six sides, so there are 36 possible numerical combinations when you throw a pair of dice (6 x 6 = 36). While there is only one combination that results in a 2 (1 and 1) and one that results in 12 (6 and 6), the number of possible combinations increases as you move forward from 2 or backward from 12 until you reach 7, which has six possible combinations (1 and 6; 2 and 5; 3 and 4; and so on). Your odds of rolling a particular number in craps is based entirely on the number of possible ways you can roll that specific number. For example, to determine your chances of rolling a 4, divide 36 by 3. (you use 3 because there are only 3 ways to throw a 4.) the result is 12, which means you have a 1 in 12 chance of rolling a 4. This is very important, because we see that the odds are 12 to 1 against you, but the house only pays 11 to 1. This is how the casino wins even when you win. This happens with every number played in the game.

John Marchel's World of Casino Gambling