Chapter Four - 國立中興大學

b. To win the $100,000 prize, events A and C must occur. In the sample space of 42 equally likely outcomes for the drawing of the powerball numbers, there are 41 outcomes which do not match the powerball number, and thus result in event C. Hence, P(C) = 41 / 42. Therefore, P(player wins the $100,000 prize) = P(A and C) = P(A ) P(C) = ................
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