CA Foundation · Quantitative Aptitude · Probability
For two events A and B, P(A) = 0.6, P(B) = 0.5 and P(A and B) = 0.3. Which statement is correct?
A and B are independent. The product P(A) × P(B) = 0.6 × 0.5 = 0.30 equals the given P(A and B). Since this joint probability is not zero, the events cannot be mutually exclusive.
- AA and B are mutually exclusive
- BA and B are independentCorrect
- CA and B are dependent with P(A|B) = 0.5
- DA and B are independent and mutually exclusive
Explanation
P(A) × P(B) = 0.6 × 0.5 = 0.30, which equals P(A and B), so the events are independent. They are not mutually exclusive because P(A and B) is not zero. P(A|B) = 0.3/0.5 = 0.6, not 0.5.
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