How much money can michael expect to gain overall

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Tim and Michael are about to play the following game. Michael will pay Tim $20 for the privilege of rolling a die repeatedly until the first 6 comes up. Tim will then pay Michael as many dollars as the square of the number of rolls.

(a) How much money can Michael expect to gain overall?

(b) What is the probability that Michael's net gain will be positive?

Reference no: EM132232599

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