Among the contestants in a competition are 49 women and 29 men so if 5 winners are randomly selected what is the probability that they are all men?

(29/78)*(28/77)*(27/76)*(26/75)*(25/74) = .0056252425

two events are dependent if the outcome of one event affects the probability of the other events. The probability that dependent events A and B occur together is

P(A and B) = P(A) * P(B given A)