Question: A sample space contains six sample points and events A, B, and C, as shown in the Venn diagram below. The probabilities of the sample

A sample space contains six sample points and events A, B, and C, as shown in the Venn diagram below. The probabilities of the sample points are P112 = .20, P122 = .05, P132 = .30, P142 = .10, P152 = .10, and P162 = .25.

2 1 4 3

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a. Which pairs of events, if any, are mutually exclusive?
Why?

b. Which pairs of events, if any, are independent?
Why?

c. Find P1A B2 by adding the probabilities of the sample points and then by using the additive rule.
Verify that the answers agree. Repeat for P1A C2.

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