A standard deck of 52 cards is thoroughly shuffled and laid face-down. You flip over the cards one by one. Let the random variable X1 be the number of cards flipped over until the first ace appears and X2 be the number of cards flipped over until the second ace appears. What is the joint probability mass function of X1 and X2? What are the marginal distributions of X1 and X2?

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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A standard deck of 52 cards is thoroughly shuffled and laid face-down. You flip over the cards one by one. Let the random variable X1 be the number of cards flipped over until the first ace appears and X2 be the number of cards flipped over until the second ace appears. What is the joint probability mass function of X1 and X2? What are the marginal distributions of X1 and X2?

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