57. If P(BA) P(B), show that P(B A) P(B ). [Hint: Add P(B A) to both...

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57. If P(B⏐A) P(B), show that P(B ⏐A)  P(B ). [Hint: Add P(B ⏐A) to both sides of the given inequality and then use the result of Exercise 56.]

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