Explanation Given: A poker hand contains five cards selected from the standard deck of 52 cards and the event is of selecting five heart cards. Approach: The number of combinations of n distinct objects taken r at a time is, C ( n , r ) = n ! r ! ( n − r ) ! ; ( r ≤ n ) . Let S be the sample space of an experiment and let E be an event. Then the probability of E , denoted as, P ( E ) and given by, P ( E ) = n ( E ) n ( S ) … ( 1 ) Here, n ( E ) n ( S ) = number of elements in E number of elements in S Calculation: The experiment is that a poker hand consisting of five cards from a standard deck of 52 cards, Thus, the number of elements in the sample space S is C ( 52 , 1 ) To determine (b) To find: The probability that a poker hand contains five cards of the same suit. To determine (c) To find: The probability that a poker hand contains five face cards. To determine (d) To find: The probability that a poker hand contains an ace, king, queen, jack, and a ten, all of the same suit.

4th Edition

ISBN: 2818000007824

Author: Stewart

Publisher: CENGAGE L

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Chapter 14.2, Problem 15E

To determine

(a)

To find:

The probability that the hand contains five hearts.

To determine

(b)

To find:

The probability that a poker hand contains five cards of the same suit.

To determine

(c)

To find:

The probability that a poker hand contains five face cards.

To determine

(d)

To find:

The probability that a poker hand contains an ace, king, queen, jack, and a ten, all of the same suit.

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Chapter 14.2, Problem 14E

Chapter 14.2, Problem 16E

Chapter 14 Solutions

ALGEBRA AND TRIGONOMETRY-WEBASSIGN

Ch. 14.1 - CONCEPTS The Fundamental Counting Principle says...Ch. 14.1 - CONCEPTS The number of ways of arranging r objects...Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Prob. 10E

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(a) To find: The probability that the hand contains five hearts.

Solution Summary: The author explains how the probability of a poker hand contains five hearts is 0.000495.

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(a) To find: The probability that the hand contains five hearts.

(b) To find: The probability that a poker hand contains five cards of the same suit.

(c) To find: The probability that a poker hand contains five face cards.

(d) To find: The probability that a poker hand contains an ace, king, queen, jack, and a ten, all of the same suit.

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Chapter 14 Solutions

(a)

To find:

The probability that the hand contains five hearts.

(b)

To find:

The probability that a poker hand contains five cards of the same suit.

(c)

To find:

The probability that a poker hand contains five face cards.

(d)

To find:

The probability that a poker hand contains an ace, king, queen, jack, and a ten, all of the same suit.