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A food company is conducting research on customers' taste. In each round of a blind taste experiment four black teas and one herbal tea are
A food company is conducting research on customers' taste. In each round of a blind taste experiment four black teas and one herbal tea are presented to participants. Suppose that the participants randomly guess, independently in each round.
(a) If a participant picks the herbal tea in each of three rounds, a box of tea is won. What is the probability that a participant wins a box of tea?
(b) What is the expected number of participants until a second box of tea is won?
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