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Currently struggling with a lecture problem, any help would be greatly appreciated! (15 points) Let X be a random variable with sample space S and

Currently struggling with a lecture problem, any help would be greatly appreciated!

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(15 points) Let X be a random variable with sample space S and power set P(n). Let A, B EP(), and let Ac be the complement of A in 1. a. Show that Prob(B) = Prob(An B) + Prob(An B). b. Assume Prob(B) > 0. Use the definition of conditional probability to show that Prob(B|A)Prob(A) Prob( A| B = Prob(B|A)Prob(A) + Prob(B|Ac) Prob( Ac) Hint: Use part (a)

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