   Chapter 9.3, Problem 3TY ### 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

# If S is a finite sample space and A is an event in S, then the probability of Aeequals____.

To determine

To complete the statement, “If S is a finite sample space and A is an event in S, then the probability of Ac equals ______.”

Explanation

Given information:

The given A is an event in a finite sample space S.

Formula used:

Probability of an event A in a finite sample space S is given by P(A) such that

P(A)=N(A)N(S)

where, N(A) is the number of elements in A and

N(S) is the number of elements in the sample space.

As given in the statement, let A be an event in the sample space S.

By the notation Ac ,we define the complement of the event A which is another event in the same sample space, contains all the outcomes not belong to the event A.

Hence, the event A and the event Ac have no common outcomes. Therefore, these two events are mutually disjoint events.

Then we can obtain the number of elements of Ac as follows.

N(S)=N(A)+N(Ac)N(Ac)=N(S)

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 