If two events are mutually exclusive, why is P(A and B) = 0? Choose the correct answer below. O A. P(A and B) = 0 because A and B each have the same probability. O B. P(A and B) = 0 because A and B are complements of each other. O C. P(A and B) = 0 because A and B cannot occur at the same time. O D. P(A and B) = 0 because A and B are independent.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 6CC
icon
Related questions
Question
If two events are mutually exclusive, why is P(A and B) = 0?
Choose the correct answer below.
O A. P(A and B) = 0 because A and B each have the same probability.
O B. P(A and B) = 0 because A and B are complements of each other.
O C. P(A and B) = 0 because A and B cannot occur at the same time.
O D. P(A and B) = 0 because A and B are independent.
Transcribed Image Text:If two events are mutually exclusive, why is P(A and B) = 0? Choose the correct answer below. O A. P(A and B) = 0 because A and B each have the same probability. O B. P(A and B) = 0 because A and B are complements of each other. O C. P(A and B) = 0 because A and B cannot occur at the same time. O D. P(A and B) = 0 because A and B are independent.
Expert Solution
Step 1

Here

We have 

Mutually Exclusive Events: The Events which do not occur at same time.

i.e they do not have any common point in them 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning