Question: A and B are two events in the sample space of a random experiment. Explain what is meant by saying that (i) A and B

A and B are two events in the sample space of a random experiment.

Explain what is meant by saying that (i) A and B are independent.

(ii) A and B are mutually exclusive.

If P(A)=0.4, P(B)=0.5 and P(A U B) = 0.7, show that A and B are independent but not mutually exclusive.

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