Question

A quick quiz consists of a multiple-choice question with 6
possible answers followed by a multiple-choice question with 5
possible answers. If both questions are answered with random
guesses, find the probability that both responses are
correct.

Answer #1

B = event that one answers the multiple-choice question with 5
possible answers correctly.

Now, P(A) = Prob.(one answers the multiple-choice question with 6
possible answers correctly) = 1/6.

P(B) = Prob.(one answers the multiple-choice question with 5
possible answers correctly) = 1/5.

Hence, Prob.(both questions are answered correctly) = P(A
B) = P(A).P(B) = (1/6) * (1/5) = **1/30**.

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