To determine The probability of being dealt is 5 face cards. Explanation Given: An experiment consists of dealing 5 cards from a standard 52 card deck. Formula used: The formula for combinations is, n C r = n ! ( n − r ) ! r ! Probability: If we assume that each simple event in sample space S is as likely to occur as any other, then the probability of an arbitrary event E in S is given by, P ( E ) = number of elements in E number of elements in S = n ( E ) n ( S ) Calculation: A standard deck of 52 cards has four 13-card suits: diamonds, hearts, clubs, and spades. The diamonds and hearts are red, and the clubs and spades are black. Each 13-card suit contains cards numbered from 2 to 10, a jack, a queen, a king, and an ace. The jack, queen, and king are called face cards. Let A denotes the set of five face cards, and S denotes the set of five cards. From the 52 cards selecting five cards can be done in 52 C 5 ways. That is, n ( S ) = 52 C 5 , and from the 12 heart cards selecting five face cards can be done in 12 C 5 ways. That is, n ( A ) = 12 C 5

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134674148

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Chapter 8.1, Problem 37E

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The probability of being dealt is 5 face cards.

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Chapter 8.1, Problem 36E

Chapter 8.1, Problem 38E

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Chapter 8 Solutions

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 8.1 - Repeat Example 1 for The outcome is a number...Ch. 8.1 - Prob. 2MP Ch. 8.1 - Prob. 3MP Ch. 8.1 - Suppose in Example 4 that after flipping the...Ch. 8.1 - Prob. 5MP Ch. 8.1 - Prob. 6MP Ch. 8.1 - Prob. 7MP Ch. 8.1 - Prob. 8MP Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E

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