If events A and B are mutually exclusive with P(A) = 0.35 and P(B) = 0.45, find P(A intersect B).
Answer and explanation
Correct answer: D. 0
- Step 1: By definition, mutually exclusive events cannot happen at the same time.
- Step 2: Therefore, their intersection is empty: A intersect B = empty set.
- Step 3: Hence, P(A intersect B) = 0.
Answer
0.
Why not the others: '0.80' represents P(A union B) = P(A) + P(B); '0.1575' calculates P(A)*P(B) which applies only to independent events; '0.10' computes the difference P(B) - P(A).
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