Q:

If A,B independent events, prove that A^c,B are independent.

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If A,B independent events, prove that A^c,B are independent.

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P(A^c∩B)=P(B-A)=P(B)-P(A∩B)
=P(B)-P(A)P(B)
=P(B)[1-P(A)]=P(B)P(A^c)

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