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4. (10 points) Consider the follow probabilities for events A and B. P[A|B] =025 P[A|B']=0.5 P[B] =0.35 Calculate P[A] [HINT: YOU NEED TO USE BAYES'

4. (10 points) Consider the follow probabilities for events A and B. P[A|B] =025 P[A|B']=0.5 P[B] =0.35 Calculate P[A] [HINT: YOU NEED TO USE BAYES' THEOREM TO CALCULATE THIS PROBABILITY, AND DON'T FORGET ABOUT LAW OF TOTAL PROBABILITY]

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