Suppose you shuffle a standard deck of cards (with 52 cards), and then divide it into 2 stacks. Then you pick the top card of the first stack and record its value: that is, whether it is an A, 2, 3, 4, ..., 10, J, Q, or K. You then place this card on the second stack, reshuffle it, and pick a card at random from it. What is the probability that both cards have the same value?
Suppose you shuffle a standard deck of cards (with 52 cards), and then divide it into 2 stacks. Then you pick the top card of the first stack and record its value: that is, whether it is an A, 2, 3, 4, ..., 10, J, Q, or K. You then place this card on the second stack, reshuffle it, and pick a card at random from it. What is the probability that both cards have the same value?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Suppose you shuffle a standard deck of cards (with 52 cards), and then divide it into 2 stacks. Then
you pick the top card of the first stack and record its value: that is, whether it is an A, 2, 3, 4, ..., 10, J,
Q, or K. You then place this card on the second stack, reshuffle it, and pick a card at random from it.
What is the probability that both cards have the same value?
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