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Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

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BuyFindarrow_forward

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.

  1. List the eight elements in the sample spacewhose outcomes are all possible genders of the three children.
  2. Write each of the events in the next column as a set and find its probability.
  3. (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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