Candidate Experience P(A/B)?

Question

Six candidates for a new position of vice-president for academic affairs have been selected. Three of the candidates are female. The candidates years of experience are as follows.

Candidate Experience

Female 1 = 5 years

Female 2 = 9 years

Female 3 = 11 years

Male 1 = 6

Male 2 = 4

Male 3 = 8

Suppose one of the candidates is selected at random. Define the following events:

A = person selected has 9 years experience

B = person selected is a female

Find P(A / B)

Answer 1

I assume that, by event A, you mean that the person selected has *at least* 9 years of experience, not "exactly" 9 years of experience.

P(A|B) = probability of A, given that B is true.  In other words, assuming that condition B is true, what is the probability of A also happening?

Well, assuming that one of the three women is selected, the probability that she had *at least* 9 years of experience is 2/3.  

P(A|B) = 2/3.