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7. We have two events, A and B. P(A) = 1/3 and P(B) = 1/4. (a) What is the smallest P(A and B) can be?
7. We have two events, A and B. P(A) = 1/3 and P(B) = 1/4. (a) What is the smallest P(A and B) can be? (b) What is the largest P(A and B) can be? (c) What is the smallest P(A or B) can be? (d) What is the largest P(A or B) can be? Hint: Draw Venn diagrams to help you think about the following possibilities: 1) ifA and B are mutually exclusive, 2) if all the outcomes in B are also in A, 3) if there's partial but not complete overlap between events in A and events in B. What can you say about P(A and B) and P(A or B) in these different cases
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