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Given that A and B are not null sets, which of the following statements regarding probability is/are CORRECT?

1. P(A∩B) = P(A) P(B), if A and B are mutually exclusive.
2. Conditional probability, P(A|B) = 1, if B ⊂ A.
3. P(A∪B) = P(A) + P(B), if A and B are mutually exclusive.
4. P(A∩B) = 0, if A and B are independent.

Correct answer: P(A∪B) = P(A) + P(B), if A and B are mutually exclusive.

Solution

The statement is correct because when two events A and B are mutually exclusive, they cannot occur at the same time, which means the probability of their union is simply the sum of their individual probabilities.

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