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

(a) 1 / 17 (b) 1/16.

Step-by-step explanation:

(a) Probability (first car d is a club) = 13/52 = 1/4

Probability (second card is a club) = 12/51.

So the probability (first and second are clubs) = 1/4 * 12/51

= 12 / 204 = 1/17 (answer).

(b) Probability (first car d is a club) = 13/52 = 1/4

Probability (second card is a club) = 13 / 52 = 1/4

So the probability (first and second are clubs) = 1/4 * 1/4

= 1/16. (answer).