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).

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step-by-step explanation: