Question

In a class of 20 students, 9 are female and 15 have an A in the class. There are 2 students who are male and do not have an A in the class. What is the probability that a student has an A given that the student is female?

Answer 1

The probability that a student has an A given that the student is female is 8/9.

Explanation:

We know that:

P(B) = 9/20 (the probability that a student is female)

P(A and B) = 8/20 (the probability that a student is female and has an A in the class)

We can use the formula:

P(A|B) = P(A and B) / P(B)

So, P(A|B) = 8/20 / 9/20 = 8/9