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If A and B are independent events,show that A^c and B^c are independent,

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SOLUTION :A and B are independent events.
We have P`(A cap B)`=P(A).P(B)
`THEREFORE P(A. cap B.)=P(A CUPB).=1-P(AcupB)` =1[1-P(A)]-P(B)[1-P(A)]
=[1-P(A)][1-P(B)]=P(A.)P(B.)`therefore`A. and B. are independent events.


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