A] If the championship is best three of five, what is the probability that team A wins?

B] If the championship is best four of seven, what is the probability that team A wins?

would a tree work?

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A] If the championship is best three of five, what is the probability that team A wins?

B] If the championship is best four of seven, what is the probability that team A wins?

would a tree work?

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For part Abbash30 said:Suppose that two teams, A and B, are playing each other for the championship and that team A has a 3/5 probability of winning any game between the two teams.

A] If the championship is best three of five, what is the probability that team A wins?

B] If the championship is best four of seven, what is the probability that team A wins?

\(\displaystyle \sum\limits_{k = 3}^5 {{\binom {5}{k}}\left( {\frac{3}{5}} \right)^k \left( {\frac{2}{5}} \right)^{5 - k} }\)

Make a simple change for part B.