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The probability that atleast one of the ...

The probability that atleast one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate `P(barA)+P(barB)`.

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To solve the problem, we need to find \( P(\bar{A}) + P(\bar{B}) \) given that \( P(A \cup B) = 0.6 \) and \( P(A \cap B) = 0.3 \). ### Step-by-step Solution: 1. **Understand the Given Information:** - We know that: - \( P(A \cup B) = 0.6 \) (the probability that at least one of the events A or B occurs) - \( P(A \cap B) = 0.3 \) (the probability that both events A and B occur simultaneously) ...
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