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A statistics class has 4 teaching assistants (TAs): three female assistants (Lauren, Rona, and Leila) and one male assistant (Josh). Each TA teaches one discussion section.
-Two students, Bill and Tom, who don't know each other, each pick a discussion section. The two events B = {Bill's TA is Lauren} and T = {Tom's TA is a woman} are
A) independent events.
B) disjoint (mutually exclusive) events.
C) each simple events.
D) None of the above.

Question

Use the following information for questions:
 A statistics class has 4 teaching assistants (TAs): three female assistants (Lauren, Rona, and Leila) and one male assistant (Josh). Each TA teaches one discussion section.
-Two students, Bill and Tom, who don't know each other, each pick a discussion section. The two events B = {Bill's TA is Lauren} and T = {Tom's TA is a woman} are
A) independent events.
B) disjoint (mutually exclusive) events.
C) each simple events.
D) None of the above.

Quizplus · Accepted Answer

B and T are independent events because the outcome of Bill having Lauren as a TA does not affect the probability of Tom having a female TA.

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