Question

Suppose that two cards are randomly selected from a standard​ 52-card deck. ​(a) what is the probability that the first card is a queen and the second card is a queen if the sampling is done without​ replacement? ​(b) what is the probability that the first card is a queen and the second card is a queen if the sampling is done with​ replacement?

Answer 1

You draw a queen on the first draw and one on the second4/52 ∗ 3/51 = 12/2652 = 1/22
You draw something other than a queen on the first draw and a queen on the second
48/52 ∗ 4/51 = 192/2652=16/221So in total, the chance is:1/221 + 16/221 = 17/221=
4/52