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You roll a fair 6-sided die until you get a ordered sequence of {3,5,5,1} in 4 recent rounds. (a) What is the probability of you

You roll a fair 6-sided die until you get a ordered sequence of {3,5,5,1} in 4 recent rounds.

(a) What is the probability of you stopping at round n? Justify you answer.

(b) What is the expected value of the number of total rounds?

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