in math tournament we have 8 participants the defending champion is ex
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Question
In math tournament we have 8 participants. The defending champion is expected to win a match with the probability of 0.85 regardless of the opponent, and matches outcomes are assumed
to be independent. (a) What is the probability that the defending champion wins 3 consecutive matchs? (b) What is the expected number of matches until defending champion is defeated by a challenger?