2.83 If A and B are mutually exclusive events and P(B) > 0, show that P(A) P(A|AU B) = P(A)+ P(B)'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
icon
Related questions
Question
2.83
If A and B are mutually exclusive events and P(B) > 0, show that
P(A)
P(A|A U B) =
P(A)+ P(B)'
Transcribed Image Text:2.83 If A and B are mutually exclusive events and P(B) > 0, show that P(A) P(A|A U B) = P(A)+ P(B)'
Expert Solution
Step 1

Given that 

A and B are events

A and B are mutually exclusive events 

P(B)>0

Show that 

P(A/(A U B))= P(A)/(P(A)+P(B)

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning