probability

Question

For mutually exclusive events A and B, P(A ∪ B) equals

RankGuru · Accepted Answer

1. **Definition**: Mutually exclusive events cannot occur at the same time ($A \cap B = \emptyset$).
2. **General Addition Rule**: $P(A \cup B) = P(A) + P(B) - P(A \cap B)$.
3. **Application**: Since the intersection is impossible, $P(A \cap B) = 0$.
4. **Result**: $P(A \cup B) = P(A) + P(B)$.

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