Subject: Mathematics
Book: Maths Mastery
Two events are mutually exclusive if they cannot occur simultaneously (e.g., rolling a die for a 2 and a 3 at the same time). Then P(A ∪ B) = P(A) + P(B). If events are non-mutually exclusive, they can overlap, so P(A ∪ B) = P(A) + P(B) – P(A ∩ B). Recognizing exclusivity affects how you sum probabilities. In everyday life, choosing one option from a set can be mutually exclusive, but not always (like multi-sport athletes). Mastering these distinctions refines your probability calculations for accurate real-world predictions or risk analyses.
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