If two events are independent, then
A. they must be mutually exclusive
B. the sum of their probabilities must be equal to 1
C. (a) and (b) both are correct
D. none of the above is correct
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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