A hat contains 22 names, 10 of which are female. If five names are randomly drawn from the hat, what is the probability that at least four female names are drawn?

Question

turingtest · Answer

what is the probability that all five names are female?

turingtest · Answer

if you can't answer that, how about
what is the probability that the first name drawn is female?

anonymous · Answer

the probability that all 5 names are female is 0.00956 or .96%

anonymous · Answer

I know the correct answer is 0.105 or 10.5%, but I forgot how I came up with this answer.

turingtest · Answer

your answer for all 5 female is correct
for four female, consider the case in which the first name drawn is a man's
what are the odds that the next name is a female's?

anonymous · Answer

The chance of drawing a male first is 12/22, so the chance of drawing a femal next is 10/21?