team A has played with team B 15 times during the season team A has won 10 times and - Maths - Probability

Question

team A has played with team B 15 times during the season team A has
won 10 times and team B has won 5 times if we take the probability
that A will win a game with B 2/3 , find the probability that A
will win (against B)
1 the next 3 games
2 two of the next 3 games
3 atleast two out of the next three games

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

Probability A win=23 , Probability A loses=1-23=131 Probability A win next 3 games=23×23×23=827   ANS
2 Probability A win 2 of the next 3 games=23×23×13+23×13×23+13×23×23=427+427+427=1227   ANS
3 Probability A win atleast 2 out of the next 3 games=Probability A win 2 of the next 3 games + Probability A win next 3 games=827+1227=2027   ANS
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