Latest Gate Aptitude Question SOLUTION: In a city of western country, 70% married people take divorce. What is the probability that atleast 3 among 4 people will take divorce?

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In a city of western country, 70% married people take divorce. What is the probability that atleast 3 among 4 people will take divorce?

Asked In Gate Utsav Parikh (10 years ago)

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Raahul Roy  (10 years ago)

Let,married people take divorce(p)=0.7 and married people not take divorce(q)=0.3
so,probability of atleast 3 among 4 people take divorce=4C3*p^3*q+4C4*p^4*q^0
= 4*0.343*0.3+1*0.2401
= 0.4116+0.2401
= 0.6517(Ans.)

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Spandan  (10 years ago)

We have to, basically find d probability of 75 people being divorced in a population of 100. Amongst 92 people, 69 can take divorce and in rest 8, 1 may take divorce.
Therefore, our condition is satisfied for 92/4 = 23 cases.
Its not satisfied for 8/4 = 2 cases.
Hence, probability = 23/25 = 0.92

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ABHISHEK KUMAR  (10 years ago)

70/75=14/15

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