Events E and F are such that `P("not\ E\ or\ not\ F")=0. 25` State whether E and F are mutually exclusive.

Explanation

We have
`P(E′∪F′)=0.25`

`⇒P(E∩F)′=0.25`

`⇒P(E∩F)=1−P(E∩F)`′

`⇒P(E∩F)=1−0.25`

`⇒P(E∩F)=0.75``!=0`

`⇒E∩F``!=``ϕ `
Thus E and F are not mutually exclusive.