   # Suppose A = { 1 , 2 } and B = { 2 , 3 } . Find each of the following: P ( A ∩ B ) P ( A ) P ( A ∪ B ) P ( A × B ) ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

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

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
Chapter 6.1, Problem 31ES
Textbook Problem
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## Suppose A = { 1 , 2 } and B = { 2 , 3 } . Find each of the following: P ( A ∩ B ) P ( A ) P ( A ∪ B ) P ( A × B )

To determine

(a)

Find P(AB)

### Explanation of Solution

Given information:

A={1,2} and B={2,3}

Concept used:

: subset

: Intersection

Calculation:

Objective is to find the power set P(AB).

By the definition of intersection of sets, AB={2}

The power set of AB set is set of all subsets of the set {2}

To determine

(b)

Find the value of

P(A)

To determine

(c)

P(AB)

To determine

(d)

P(A×B)

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