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# help

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Bangladesh & India are playing a five match odi series.If any team wins first 3 matches,then the series is over. The two teams are equally strong.What is the probability that the series will be over in 3 matches?

Nov 17, 2019

If "equally strong "means that each has probability $$\frac {1}{2}$$ of winning at any match , then
P(game over  after the first 3 matches) = P( B wins the first 3 matches) +P( I wins the first 3 matches)= $$(\frac{1}{2})^3 + (\frac{1}{2})^3 = \frac {1}{4}$$