Q. 10

Prove that if E and F are independent events, then the events E and F are also independent.

Answer :

Given; E and F are independent events

P(EF) = P(E).P(F)

P(EF’) = P(E) − P(EF)

= P(E) − P(E).P(F)

= P(E) [1− P(F)]

= P(E).P(F’)

P(EF’) = P(E).P(F’)

E and F’ are independent.

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