You are dealt 5 cards face down from a shuffled deck. You pick up the first 3 cards and see that you have 2 sevens and 1 jack. Given these 1st three cards, what are the probabilities that when the remaining 2 cards are picked up you will have in your 5-card hand (a) 3 sevens (b) 3 sevens and 2 jacks (c) 2 sevens and 2 jacks?

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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You are dealt 5 cards face down from a shuffled deck. You pick up the first 3 cards and see that
you have 2 sevens and 1 jack. Given these 1st three cards, what are the probabilities that when the
remaining 2 cards are picked up you will have in your 5-card hand (a) 3 sevens (b) 3 sevens and
2 jacks (c) 2 sevens and 2 jacks?

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