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If E and F are independent events such that 0 < P(E) < 1 and 0 < P(F) < 1, then 

(a) E and F are mutually exclusive

(b) E and F(the complement of the event F) are independent

(c) Ec and Fc are independent

(d) P(E/F) + P(Ec/ F) = 1

1 Answer

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by (70.0k points)
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Best answer

The correct option is 

(b) E and F(the complement of the event F) are independent

(c) Ec and Fc are independent

(d) P(E/F) + P(Ec/ F) = 1

Explanation:

Since, E and F are independent events. Therefore, P(E ∩ F) = P(E).P(F )  0, so. E and Fare not mutually exclusive events.

 

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