Alice pays bob a number of dollars equal to the sum of the

Reference no: EM13641103

Alice pays Bob a number of dollars equal to the sum of the values of any dice matching Bob's guess. So, for example, suppose Bob guesses 3. If Alice rolls (3, 4), she pays Bob 3 dollars; if Alice rolls (5, 3), she also pays Bob 3 dollars; if Alice rolls (3, 3), she pays Bob 6 dollars; if Alice rolls (2, 5), she pays Bob nothing. Devise an optimal strategy for Bob (remember, Alice tells Bob the sum of the two dice before Bob makes his guess). Also, let W be a random variable representing his winnings (in dollars). Compute E[W].

Reference no: EM13641103

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