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?
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)= \((\frac{1}{2})^3 + (\frac{1}{2})^3 = \frac {1}{4}\)
