Question: Two fair, six-sided dice are repeatedly thrown until either S = 7 or S 4, where r.v. S is the sum of the two

Two fair, six-sided dice are repeatedly thrown until either S = 7 or S ≤ 4, where r.v. S is the sum of the two dice. Let r.v. N be the number of throws required.

(a) Compute E[N] and V (N).

(b) Compute the probability that the event S = 7 occurs before S ≤ 4.

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