Roger Federer and Rafael Nadal are playing tennis. The probability that Federer wins a set is 0.60.

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xvzoreylc1995

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They play until one wins the best of five sets (first to win 3 sets, wins the match). Write out the formula you use and/or the numbers you plug into your calculator.

a.) What is the probability that Federer wins exactly zero sets?

b.) What is the probability that Federer wins at least one set?

c.) What is the probability that Nadal wins at most two sets?

d.) What is the probability that Nadal wins the match, given that he loses the first set?

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