Team A wins against team B with a probability of 0.75. What is the probability that team A wins a best of 3 series (first to win two)? For this problem, I tried to use the binomial distribution formula. Here's my work: I added the probability of team A winning in 2 games and the probability of A winning in 3 games. What did I do wrong?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Team A wins against team B with a probability of 0.75. What is the probability that team A wins a best of 3 series (first to win two)? For this problem, I tried to use the binomial distribution formula. Here's my work: I added the probability of team A winning in 2 games and the probability of A winning in 3 games. What did I do wrong?
P(A) =
3
3
(2) * () * () + (2) * (2 ) * ()
4
Transcribed Image Text:P(A) = 3 3 (2) * () * () + (2) * (2 ) * () 4
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