Two fair dice are rolled. Let B = the event that the sum is odd, A = the event that the sum is 7 or more, and C= the event that at least one die shows a 2. For these three events, which pairs of events are independent and which pairs are dependent? ..... How can pairs of events be shown to be independent? O A. Events E and F are independent when P(E|F) = P(E) and P(F|E) # P(F). O B. Events E and F are independent when P(E|F) # P(E) and P(F|E)#P(F). OC. Events E and F are independent when P(E|F) = P(E) and P(F|E) = P(F). O D. Events E and F are independent when P(E|F)#P(E) and P(F|E) = P(F). Which pairs of events are independent? Select all that apply. O A. events A and C O B. events B and C O C. events B and A O D. No pairs are independent. Which pairs of events are dependent? Select all that apply. O A. events B and C O B. events A and C O C. events B and A D. No pairs are dependent. O O O O

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 7CC
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Two fair dice are rolled. Let B = the event that the sum is odd, A= the event that the sum is 7 or more, and C = the event that at least one die shows a 2. For these three
events, which pairs of events are independent and which pairs are dependent?
.....
How can pairs of events be shown to be independent?
O A. Events E and F are independent when P(E|F) = P(E) and P(F|E)#P(F).
B. Events E and F are independent when P(E|F) # P(E) and P(F|E)+ P(F).
C. Events E and F are independent when P(E|F) = P(E) and P(F|E) = P(F).
D. Events E and F are independent when P(E|F)# P(E) and P(F|E) = P(F).
Which pairs of events are independent? Select all that apply.
A. events A and C
B. events B and C
C. events B and A
D. No pairs are independent.
Which pairs of events are dependent? Select all that apply.
A. events B and C
B. events A and C
C. events B and A
D. No pairs are dependent.
O O
Transcribed Image Text:Two fair dice are rolled. Let B = the event that the sum is odd, A= the event that the sum is 7 or more, and C = the event that at least one die shows a 2. For these three events, which pairs of events are independent and which pairs are dependent? ..... How can pairs of events be shown to be independent? O A. Events E and F are independent when P(E|F) = P(E) and P(F|E)#P(F). B. Events E and F are independent when P(E|F) # P(E) and P(F|E)+ P(F). C. Events E and F are independent when P(E|F) = P(E) and P(F|E) = P(F). D. Events E and F are independent when P(E|F)# P(E) and P(F|E) = P(F). Which pairs of events are independent? Select all that apply. A. events A and C B. events B and C C. events B and A D. No pairs are independent. Which pairs of events are dependent? Select all that apply. A. events B and C B. events A and C C. events B and A D. No pairs are dependent. O O
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