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Competitive Stats
Q31Section I (Objective (Q1–Q80))31 of 79

Probability — deriving a union probability from conditional data

Two events AA and BB are such that P(A)=1/3P(A)=1/3, P(B)=1/5P(B)=1/5 and P(A∣B)+P(B∣A)=2/3P(A\mid B)+P(B\mid A)=2/3. What is the value of 12P(A‾∪B‾)12P(\overline{A}\cup\overline{B})?

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