We can use inclusion-exclusion with conditional probabilities of the form P(A∪B∣C). Can we also do this when the union is on the "right-hand side" of the condition (giving the following formula)? Why or why not? P(A∣B∪C)=P(A∣B)+P(A∣C)−P(A∣B∩C)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
icon
Related questions
Question

We can use inclusion-exclusion with conditional probabilities of the form P(A∪B∣C). Can we also do this when the union is on the "right-hand side" of the condition (giving the following formula)? Why or why not? P(A∣B∪C)=P(A∣B)+P(A∣C)−P(A∣B∩C)

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage