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If A and B are independent events,show t...

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

Text Solution

Verified by Experts

`P(AcapB^c)`=P(A-B)
=P(A)-P`(AcapB)`
=P(A)-P(A)P(B)
=P(A)[1-P(B)] `therefore` A. and B. are independent events.
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