Question

In a class of 25 students, 16 are female and 5 have an A in the class. There are 7 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

There are 25 students, 16 female and 9 male. If 7 males do not have an A, then 9 - 7 = 2 males have an A. Since total A's = 5, females with A = 5 - 2 = 3.

So P(A | female) = 3/16 = 0.1875 = 18.75%.