# Question

The accompanying Venn diagram illustrates a sample space containing six sample points and three events, A, B, and C. The probabilities of the sample points are P(1) = .3, P(2) = .2, P(3) = .1, P(4) = .1, P(5) = .1, and P(6) = .2.

a. Find P(A∩B), P(B∩C), P(A∪C), P(A∪B∪C), P(Bc), P(Ac∩B), P(B|C), and P(B|A).

b. Are A and B independent? Mutually exclusive? Why?

c. Are B and C independent? Mutually exclusive? Why?

a. Find P(A∩B), P(B∩C), P(A∪C), P(A∪B∪C), P(Bc), P(Ac∩B), P(B|C), and P(B|A).

b. Are A and B independent? Mutually exclusive? Why?

c. Are B and C independent? Mutually exclusive? Why?

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