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If `E` and `F` are events with `P(E)<=P(F)` and `P(EnnF)>0` then which one is not correct?

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If `E` and `F` are events with `P(E)<=P(F)` and `P(EnnF)>0` then which one is not correct? A. occurrence of `E rArr ` occurrence of F B. occurrence of `F rArr` occurrence of E C. non-occurrence of `E rArr` non-occurrence of F D. None of the above Select the correct answer from above options

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Correct Answer - C It is given that, P(E)≤P(F)⇒E⊆F …..(i) and P(e∩F)>0⇒E⊂F ….(ii) (a) occurrence of E⇒ occurrence of F [from Eq. (i)] (b) occurrence of F⇒ occurrence of E [from Eq. (ii)] (c ) non-occurrence of E⇒ occurrence of F Hence, option (c )is not correct. [from Eq. (i)]

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