alleryTwo events A and B: P(A) = 0.3, P(B) = 0.4, P(A and B) = 0.1. Are they independent?
AYes (P(A) × P(B) = P(A∩B))
BNo (0.3 × 0.4 = 0.12 ≠ 0.1, so dependent)
CCannot tell
DAlways independent
Answer & Solution
Correct answer: B. No (0.3 × 0.4 = 0.12 ≠ 0.1, so dependent)
For independence: P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12. Here actual P(A and B) = 0.1, not 0.12. So A and B are NOT independent.
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