A and B play a game in which their chances of winning are in the ratio 3:2. The probability of A winning atleast 3 games out of 5 games is

A and B play a game in which their chances of winning are in the ratio 3:2. The probability of A winning atleast 3 games out of 5 games is

  1. A

    0.55

  2. B

    0.58

  3. C

    0.66

  4. D

    0.45

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    Solution:

    p=35,q=25,n=5,P(x=r)=nCr(p)r(q)n-rP(X3)=P(X=3)+P(X=4)+P(X=5)=5C3(35)3(25)2+5C4(35)4(25)+5C5(35)5

    =3355(40+30+9)=27×793215=21333215=0.66

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