SOLUTION: Conditional Probability. (Tree diagram ?) In a World Series, teams A and B play until one team wins four games. Suppose all games are independent and that on each game, the probab

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Question 257551: Conditional Probability. (Tree diagram ?)
In a World Series, teams A and B play until one team wins four games. Suppose all games are independent and that on each game, the probability that team A beats team B is 3/5.
(a) What is the probability that team A wins the series?
(b) What is the probability that team A wins the series in five games?(c) You know that team A wins the series. What is the expected number of games they play?
(d) What is the probability the team that wins the first game will win the series?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Probability that team a wins =.6; b wins = .4
I did a tree diagram.I couldn't calculate it any other way. It was a 7 tiered tree.
a) .1296+.2074+.2074+.1695=.7103 Team A wins.
b) .2074 A wins in 5 games
c) A is equally likely to win in 5 games or six .2074 each.
d) thats a smaller tree diagram that I'll leave up to you.
.
Ed