Chapter 14.FOM, Problem 2P

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

**Family Planning** A couple intends to have two children. What is the probability that they will have one child of each sex? 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

**(a) **Model this problem with a pair of coins (using “heads” for boys and “tails” for girls), or write a program to model the problem. Perform the experiment

**(b) **Calculate the correct probability of having one child of each sex, and compare this with your result from part (a).

To determine

(a)

**To perform:**

The experiment

Explanation

**Given:**

A couple intends to have two children. The French mathematician Dâ€™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

**Approach:**

The probability of an event

Here,

**Calculation:**

When two coins are flipped together the possible outcomes are

This implies the outcomes are

To determine

(b)

**To find:**

The probability of having one child of each sex.

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