   Chapter 9.1, Problem 12ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG indicate that the first two children born are hoys and the third child is a girl.Let BBG indicate that the first and third children born are girls and the second is a boy, and so forth. List the eight elements in the sample spacewhose outcomes are all possible genders of the three children. Write each of the events in the next column as a set and find its probability. (i) The event that exactly one child is a girl. (ii) The event that at least two children aregirls. (iii) The event that no child is a girl.

To determine

(a)

To write:

The eight elements in the sample space whose outcome are all the possible genders of three children.

Explanation

Given:

A family is having three children and having a boy and girl is equally likely.

Calculation:

There are 8 possible resul...

To determine

(b)

To find:

The Probability that,

(i)The event that exactly one child is a girl.

(ii) The event that at least two children are girls.

(iii) The event that no child is a girl.

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