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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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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