If two events are independent, thenA. they must be mutually exclusiveB

1.	If two events are independent, thenA. they must be mutually exclusiveB. the sum of their probabilities must be equal to 1C. (a) and (b) both are correctD. none of the above is correct
Answer» Correct option is D. none of the above is correct Let A and B be two independent events, then, P(A∩ B) = P(A) x P(B) \(\therefore\) P(A∩B) ≠ 0 → Not mutually exclusive Or, P(A) + P(B) ≠ 1 → Their sum of probabilities is not 1

If two events are independent, thenA. they must be mutually exclusiveB. the sum of their probabilities must be equal to 1C. (a) and (b) both are correctD. none of the above is correct

Answer»

Correct option is D. none of the above is correct

Let A and B be two independent events, then,

P(A∩ B) = P(A) x P(B)

\(\therefore\) P(A∩B) ≠ 0 → Not mutually exclusive

Or,

P(A) + P(B) ≠ 1 → Their sum of probabilities is not 1

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If two events are independent, thenA. they must be mutually exclusiveB. the sum of their probabilities must be equal to 1C. (a) and (b) both are correctD. none of the above is correct

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