so i am asked to find the prob of a male professor - given that he is promoted.

Question

and the stats are

female promoted = 3%
female not promoted - 12%
male promoted 17%
male not promoted - 68%

and i just wrote down that it is 17% is this true?

ALso, i looked up in my book that P(A I B) = P(B and A)/P(A)

but my question is isnt P(b and a) = P(b) * P(a) ? so dosnt that cancel out with the denominator?

thank you!

Answer 1

You are given the probability of being male and being promoted = .17 = P(b and a)