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Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2 then P(E|F) ?Options 14 13 23

Question

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2 then P(E|F) ?Options 14 13 23

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Solution

The formula for conditional probability is P(E|F) = P(E∩F) / P(F).

Given that P(E∩F) = 0.2 and P(F) = 0.3, we can substitute these values into the formula:

P(E|F) = 0.2 / 0.3 = 2/3 ≈ 0.67

So, none of the options 14, 13, 23 are correct. The correct answer is approximately 0.67.

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