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 and IQ of more than 150, find the probability that the student is a boy.

Question

Philoid · Accepted Answer

Let, I : students having IQ more than 150

B : Boys in the class

G : Girls in the class

We want to find P(B|I) i.e. probability that selected student having IQ greater than 150 is a boy

Conclusion: Therefore, the probability that selected student having IQ greater than 150 is a boy is