SOLUTION: A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. Two cards will be randomly selected from the stack. What is the probability that a queen is chosen and rep

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Question 1112808: A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. Two cards will be randomly selected from the stack. What is the probability that a queen is chosen and replaced, and then a queen is chosen again?

A.1/9
B.4/9
C.16/225
D.2/21
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Drawing two cards WITH replacement means that you have two independent events. Hence, the probability of success on both events is the product of the probabilities of each independent event.

The probability of drawing a Queen from the described deck of cards is given by the number of Queens divided by the total number of cards. I'll just assume that you can count that high yourself.

The situation described has two identical independent events, so the probability of both is the square of the probability of one.

John

My calculator said it, I believe it, that settles it