Out of 200 applicants for a job, 125 are female, 100 have a graduate degree, and 75 are female and have a graduate degree. If an applicant is chosen at random, find:

Question

a) The probability they are female or have a graduate degree.

It isn't something as easy as 125/200 for female and 75/200 for having a graduate right?

Answer 1

125/200 female, 100/200 graduate degree (regardless of gender)

P(F or G) = P(F) + P(G) - P(F and G). As you can see, you must subtract out the probability of the overlapping event to get the right answer.
P(F and G) = P(F) * P(G).

Answer 2

I see, so it would be P(F or G): 125/200 + 100/200 - (125/200* 100/200)= 13/16?
Also, I'm assuming then if I were to find the conditional probability they have a graduate degree given they are female, then it would just be (125/200* 100/200)?

Answer 3

Oh no wait nvm...it would be 15/64 for the conditional probability I think.