Mathematics · Probability
For an experiment with sample space S, a sequence of events Ai (where i = 1, 2, 3, ...) is mutually exclusive and exhaustive if and only if:
- 1⋃i Ai = S
- 2Ai ∩ Aj = Φ for i ≠ j
- 3⋃i Ai = S and Ai ∪ Aj = Φ for i ≠ j
- 4⋃i Ai = S and Ai ∩ Aj = Φ for i ≠ j✓
Correct answer
⋃i Ai = S and Ai ∩ Aj = Φ for i ≠ j
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