A game of dice

Discrete Mathematics Level pending

You roll a dice repeatedly until a 1 or a 2 is obtained.

You win 5$ if you had one roll, 10$ if you had 2 rolls, 15$ if you had 3 rolls, et cetera

How much should you expect to win?

The roll in which a 1 or 2 is obtained counts. Give your answer in dollars without the dollar sign.


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