In a class, 5% of the boys and 10% of the girls have an IQ of more than 150. In this class 60% of the students are boys. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.

Explanation

A=1 Q is more than 150


` E_{1}`= selected student is a boy


`E_{2}= ` selected student is a girl




`therefore P(E_{1})=frac{60}{100} `


`P(E_{2})=frac{40}{100}`


`P(A / E_{1})=frac{5}{100} `


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