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Conditional Probabilityeasy
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If P(A)=0.5P(A) = 0.5P(A)=0.5, P(B∣A)=0.2P(B|A) = 0.2P(B∣A)=0.2, and P(B∣Ac)=0.3P(B|A^c) = 0.3P(B∣Ac)=0.3, use the Law of Total Probability to find P(B)P(B)P(B).