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Let A and B be two events such that p( b...

Let A and B be two events such that `p( bar AuuB)=1/6, p(AnnB)=1/4` and `p( bar A)=1/4` , where ` bar A` stands for the complement of the event A. Then the (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

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To solve the problem, we will follow these steps: ### Step 1: Understand the given probabilities We are given: - \( P(\bar{A} \cup B) = \frac{1}{6} \) - \( P(A \cap B) = \frac{1}{4} \) - \( P(\bar{A}) = \frac{1}{4} \) ...
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