In a group of 54 candidates, 16 are female and the remaining are male. If four are to be randomly selected, what is the probability that there will be only female candidates selected?

Answer 1

If the the girls are not being replaced (i.e put back in the lot) it would be (16/54)+(15/53)+(14/52)+(13/51) since you're not replacing them, the amount of people inside the group decreases.

Now fi the candidates were being replaced, the amount of candidates in total would not change, making it (16/54)*4

Answer 2

I kept getting the question wrong because I assumed they were being replaced. Thank you!