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Question
If two events are independent, then ______.
Options
They must be mutually exclusive
The sum of their probabilities must be equal to 1
(A) and (B) both are correct
None of the above is correct
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Solution
If two events are independent, then none of the above is correct.
Explanation:
For independent events A and B, P(A).P(B) = P(A ∩ B)
So, they will not be mutually exclusive
If P(A) + P(B) = 1
They are exhaustive events and for independent events A and P(A ∩ B) ≠ 0.
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