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

Answer 1

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.