3. The following table gives a two-way classification of all basketball players at a university who began their college careers between 2004 and 2008, based on gender and whether or nor they graduated.

Question

Graduated Did Not Graduate
Male 126 55
Female 133 32

a) P(female or did not graduate)
b) P(graduated or male)

Answer 1

There were 181 males and 165 females, making 346 students in all

Of those, 165+55=220 were female or did not graduate

259+55=314 graduated or were male

So,
P(F|~g) = 220/346
P(g|M) = 314/346