Question: 1 Probability Potpourri Provide brief justification for each part. (a) For two events A and B in any probability space, show that P(A B)

1 Probability Potpourri Provide brief justification for each part. (a) For two events A and B in any probability space, show that P(A \\ B) > P(A) - P(B). (b) Suppose P(D | C) = P(D | C), where C is the complement of C. Prove that D is independent of C. (c) If A and B are disjoint, does that imply they're independent

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