Let’s imagine a hand consisting of 1 card drawn from a non-standard 64-card deck with flowers on the back and 1 card drawn from a non-standard 64-card deck with birds on the back. This non-standard deck has 16 cards from each of 4 suits (clubs, diamonds, hearts, spades ). The 16 cards could have face values 2 through 10, jack, queen, king, ace, dog, cat, or rabbit. Each face value is a “kind” of the card. The jack, queen, king, dog, cat, and rabbit are “face cards. 1) How many hands consist of a pair of aces? 2) How many hands contain all face cards? 3) How many hands contain at least one face card?

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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Let’s imagine a hand consisting of 1 card drawn from a non-standard 64-card
deck with flowers on the back and 1 card drawn from a non-standard 64-card deck with birds on
the back. This non-standard deck has 16 cards from each of 4 suits (clubs, diamonds, hearts,
spades ). The 16 cards could have face values 2 through 10, jack, queen, king, ace, dog, cat, or
rabbit. Each face value is a “kind” of the card. The jack, queen, king, dog, cat, and rabbit are
“face cards.

1) How many hands consist of a pair of aces?

2) How many hands contain all face cards?

3) How many hands contain at least one face card?

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