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 re

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Question 1155656: 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?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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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?
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The formulation of the problem in your post is INCORRECT.

The correct formulation is THIS : 

     A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. Two cards are randomly selected  

     from the stack with replacement. What is the probability that a queen is chosen, and then a queen is chosen again?

Do you see the difference ?

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The solution and the answer are  P = %285%2F15%29%2A%285%2F15%29 = %281%2F3%29%2A%281%2F3%29 = 1%2F9.


Here 15 = 4 + 5 + 3 + 3 is the total number of playing cards in the stack.