Number of Ways a Seven Can Be Thrown

Written May 14, 2008 by Jack Jones

We were poised the question of how many different ways a seven can be thrown in craps so we thought we would illustrate the point with an example. Why isn’t it easy to understand how many ways a seven can be thrown? Probably because people fail to realize that each dice is independent of the other one. Leading them to believe there are three combinations instead of the actual six.

However, the game of craps is played with a two of the same type of numbered cubes. Each die (the singular of dice) has six sides marked by the numbers one through six. If the die is perfectly balanced, which most are, each side has an equal chance of landing face up when rolled. Because each dice has six sides, 36 different combinations (6 X 6) can be thrown on one toss of two dice.

The seven can be rolled six different ways (6 and 1, 1 and 6, 5 and 2, 2 and 5, 4 and 3, 3 and 4). If you don’t believe me then use two different colored dice, a red one, and a blue one. The red dice has a six on it, and the blue dice has a one. Then, show that same red die with a one on it and the blue die having a six. Continue to do this with all six possible combinations.

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