Q. 10

Prove that if E a

Answer :

Given; E and F are independent events

⇒ P(E⋂F) = P(E).P(F)

⇒ P(E⋂F’) = P(E) − P(E⋂F)

= P(E) − P(E).P(F)

= P(E) [1− P(F)]

= P(E).P(F’)

∵ P(E⋂F’) = P(E).P(F’)

∴ E and F’ are independent.

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