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Let A, B, and C be events of some sample space. You are given the following probabilities:                              P(A) = 0.70                                    P(Both A and B) = 0.40                              P(B) = 0.50                                     P(Both A and C) = 0                              P(C) = 0.30      What is the probability that either event A or event B occurs? P(A or B) =   Are these events mutually exclusive? Why or why not?     What is the probability that either event A or event C occurs?   P(A or C) =     Are these events mutually exclusive? Why or why not?     Find the following conditional probabilities. P(B|A) =                                                P(A|B) =   f) Are the events A and B independent? Explain.

Let A, B, and C be events of some sample space. You are given the following probabilities:                              P(A) = 0.70                                    P(Both A and B) = 0.40                              P(B) = 0.50                                     P(Both A and C) = 0                              P(C) = 0.30      What is the probability that either event A or event B occurs? P(A or B) =   Are these events mutually exclusive? Why or why not?     What is the probability that either event A or event C occurs?   P(A or C) =     Are these events mutually exclusive? Why or why not?     Find the following conditional probabilities. P(B|A) =                                                P(A|B) =   f) Are the events A and B independent? Explain.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Let A, B, and C be events of some sample space. You are given the following probabilities:

                             P(A) = 0.70                                    P(Both A and B) = 0.40

                             P(B) = 0.50                                     P(Both A and C) = 0

                             P(C) = 0.30     

  1. What is the probability that either event A or event B occurs?

P(A or B) =

 

  1. Are these events mutually exclusive? Why or why not?

 

 

  1. What is the probability that either event A or event C occurs?

 

P(A or C) =

 

 

  1. Are these events mutually exclusive? Why or why not?

 

 

  1. Find the following conditional probabilities.

P(B|A) =                                                P(A|B) =

 

  1. f) Are the events A and B independent? Explain.

 

 

 

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