# Calculating the probability that the player wins in a game of craps.

The dice game craps is played as follows. The player throws two die, and if the sum is seven or eleven then she wins. If the sum is two, three, or twelve, then she loses. If the sum is anything else, then she continues throwing until she either throws that number again (in which case she wins) or if she throws a seven in which case she loses. Calculate the probability that the player wins.

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#### Solution Preview

You can model the problem as follows:

* The person can win at the first shot by getting a 7 or 11. But he cannot get the forbidden numbers. So remove that from the set of ...

#### Solution Summary

The probability that a player wins in a game of craps is calculated.

$2.19