   Chapter 9.8, Problem 7ES ### 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
1 views

# Suppose a sample space S consists of three outcomes: 0, 1, and 2. Let A = { 0 } ,   B = { 1 } , and C = { 2 } , and suppose P ( A ) = 0.4 and P ( B ) = 0.3 . Find each of the following: a. P ( A ∪ B ) b. P ( C ) c. P ( A ∪ C ) d. P ( A c ) e. P ( A c ∩ B c ) f. P ( A c ∪ B c )

To determine

(a)

The p(AB) for the given problem.

Explanation

Given information:

Sample space =S and three outcomes 0,1 and 2, and A={0},B={1} and C={2}. Such that p(A)=0.4 and p(B)=0.3.

Calculation:

Since, all are the outcomes are disjoint sets

To determine

(b)

The p(C) for the given problem.

To determine

(c)

The p(AC) for the given problem.

To determine

(d)

The p(Ac) for the given problem.

To determine

(e)

The p(AcBc) for the given problem.

To determine

(f)

The p(AcBc) for the given problem.

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