The accompanying Venn diagram illustrates a sample space

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

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