5. A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck. a. How many cards are in this deck? b. Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club? c. When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of the same rank)?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 75E
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5. A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck.
a. How many cards are in this deck?
b. Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2
diamonds, 2 spades, and 1 club?
c. When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of
the same rank)?
Transcribed Image Text:5. A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck. a. How many cards are in this deck? b. Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club? c. When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of the same rank)?
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