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