If E & F are events with P(E) ≤ P(F) & P(E⋂F) > 0, then
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Given, P(E) ≤ P(F) & P(E⋂F) > 0,
⇒ there is a some common exist between E and F which is shown in below image.
(1) Occurence of E doesn't always ⇒ occurence of F,since E ≠ F always.when E < F, There is chance of occuring E irrespective of occurence of F
(2)Similary Occurence of F doesn't always ⇒ occurence of E,since E ≠ F.when E < F, There is chance of occuring F irrespective of occurence of E
(3)Similary Occurence of E doesn't always ⇒ non-occurence of F,since E ≠ F.There might be a chance of F to occur irrespective of E not occuring.
∴ None of the given options are correct.
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