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. 05 06 C 1 4 A 03 B 2 S

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.

05 06 C 1 4 A 03 B 2 S

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