a) suppose A and B are independent event. For an event C suchthat p(C)>0, prove

Question

a) suppose A and B are independent event. For an event C suchthat p(C)>0, prove that the event A given C is independent ofthe event of B given C ii)If A and b are independent events with positiveprobability, prove that they cannot be mutually exclusive. Thanks a) suppose A and B are independent event. For an event C suchthat p(C)>0, prove that the event A given C is independent ofthe event of B given C ii)If A and b are independent events with positiveprobability, prove that they cannot be mutually exclusive. Thanks

Explanation / Answer

(ii) Let A and B be independent events with positiveprobability. Suppose P(A) = > 0 Suppose P(B) = > 0
Since A and B are independent, P(A and B) = P(A)P(B)= > 0, so P(A and B) has a positiveprobability, so A and B are not mutually exclusive

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