Math and Logic

Chasing the Tail

You are invited to a dice game where you can make some dollars. The rule of the game is as follows:

You keep rolling a six-sided fair die until you get a 6.6. For each non-66 die roll, you receive $1.\$1. There is no payout for the 66 you rolled last, and your game ends there.

How much is your expected return on this game? Keep reading to learn a useful technique of computing expected values, or skip ahead to today's challenge.

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