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If A and B are two events such that P(A...

If A and B are two events such that `P(A)=1/2`, `P(B) =7/(12)`and P(not A or not B) = `1/4`. State whether A and B are independent?

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To determine whether events A and B are independent, we need to analyze the given probabilities and apply the definitions of independent events. ### Step-by-step Solution: 1. **Given Probabilities**: - \( P(A) = \frac{1}{2} \) - \( P(B) = \frac{7}{12} \) - \( P(\text{not } A \text{ or not } B) = \frac{1}{4} \) ...
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If P(A) = 1/2, P (B) = 7/12 and P ( not A or not B) =1/4 , State whether A and B are independent .

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Knowledge Check

  • If A and B are events such that P(A)=(1)/(2), P(B) =(7)/(12) " and " P(A' uu B') =(1)/(4), then A and B are

    A
    independent
    B
    mutually exclusive
    C
    both `a` and `b`
    D
    none of these

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