Explanation Given: A couple intends to have two children. The French mathematician D’Alembert analyzed this problem (incorrectly) by reasoning that three outcomes are possible: two boys, or two girls, or one child of each sex. He concluded that the probability of having one of each sex is 1 3 , mistakenly that the three outcomes are equally likely. Approach: The probability of an event E is, P ( E ) = n ( E ) n ( S ) … ( 1 ) . Here, n ( E ) denotes the favorable outcome, n ( S ) denotes the total outcome. Calculation: When two coins are flipped together the possible outcomes are 4 . This implies the outcomes are { H H , H T , T H , T T } To determine (b) To find: The probability of having one child of each sex.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 14.FOM, Problem 2P

To determine

(a)

To perform:

The experiment 40 or more times and estimate the probability of having one child of each sex.

To determine

(b)

To find:

The probability of having one child of each sex.

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Chapter 14.FOM, Problem 1P

Chapter 14.FOM, Problem 3P

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Chapter 14 Solutions

Algebra and Trigonometry (MindTap Course List)

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 perform: The experiment 40 or more times and estimate the probability of having one child of each sex.

Solution Summary: The French mathematician D'Alembert analyzed the problem (incorrectly) by reasoning that three outcomes are possible.