Round your answer to the nearest hundredth.

Question

A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test.

If a student is chosen at random and is found to be a girl, the probability that the student scored an A is ___.

Answer 1

G = girl

A = got an A

want to find P(A|G) = P(A and G)/P(G) = 0.35/0.45 = 0.78