What is the likelihood of winning at craps?

Craps is an exciting yet fickle game. It’s often featured in television and movie scenes, with occasional hooting and hollering around the craps table. So why all the excitement? And what’s the deal with 7?

Calculating the probability of winning is cumbersome — the casino relies on the complexity of the calculation to hide their edge. However, what makes it cumbersome is a slightly complicated sample space and conditional probabilities!

In this lesson, students learn about the game of craps as the avenue for some sophisticated theoretical probability calculations, and they learn why, in the long run, the house always wins.

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