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Math / Discrete Mathematics and Its Applications 7 / Chapter 7.1 / Problem 12E

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

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Solution: What is the probability that a five-card poker

Chapter 10, Problem 12E

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QUESTION:

Problem 12E

What is the probability that a five-card poker hand contains exactly one ace?

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QUESTION:

Problem 12E

What is the probability that a five-card poker hand contains exactly one ace?

ANSWER:

Step 1 of 3

A standard deck of cards contains cards, of which are red and are black, are of each suit (hearts, diamonds, spades, clubs) and of which are of each denomination . The face cards are the jacks , queens and kings

Product rule If one event can occur in ways AND a second event can occur in ways, then the number of ways that the two events can occur in sequence is then .

Definition permutation (order is important):

Definition combination (order is not important):

with

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