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If E and F are independent events then ...

If E and F are independent events then which of the following are also independent
(i) `barE " and " barF`
(ii) E and `barF`
(iii) `barF` and F
(iv) None of these

Text Solution

Verified by Experts

`P(barEcapbarF)=P(bar(EcupF))=1-P(EcupF)`
=1-P(E)-(F)+P(E).P(F)
(1-P(E))(1-P(F))
`= P(barE)P(barF)`
Similarly option (3) also can be derived.
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