Suppose you randomly choose a card from the first deck, add it to the second deck and then randomly choose a card from the second deck. If the card drawn from the second deck was an ace, what is the probability that the card selected from the first deck was also an ace?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Suppose you have one deck of playing cards consisting of 8 playing cards with 4 aces, 2 kings
and 2 queens and a second deck of 8 playing cards which has 1 ace, 4 kings and 3 queens.
(d) Suppose you randomly choose a card from the first deck, add it to the second deck and
then randomly choose a card from the second deck. If the card drawn from the second
deck was an ace, what is the probability that the card selected from the first deck was also
an ace?
Transcribed Image Text:Suppose you have one deck of playing cards consisting of 8 playing cards with 4 aces, 2 kings and 2 queens and a second deck of 8 playing cards which has 1 ace, 4 kings and 3 queens. (d) Suppose you randomly choose a card from the first deck, add it to the second deck and then randomly choose a card from the second deck. If the card drawn from the second deck was an ace, what is the probability that the card selected from the first deck was also an ace?
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