If P(A) = 0.4, P(B) = 0.5, and events A and B are independent, find P(A union B).
Answer and explanation
Correct answer: D. 0.70
- Step 1: For independent events, P(A intersect B) = P(A) P(B) = 0.4 0.5 = 0.20.
- Step 2: Use addition rule: P(A union B) = P(A) + P(B) - P(A intersect B).
- Step 3: Calculate: 0.4 + 0.5 - 0.20 = 0.70.
Answer
0.70.
Why not the others: '0.90' adds P(A) + P(B) without subtracting the intersection; '0.20' calculates P(A intersect B) alone; '0.60' subtracts twice the intersection.
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