Topic: Engineering Mathematics
A and B are two candidates appearing for an interview by a company. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. The probability of B getting selected is
- A. 0.9
- B. <= 0.3
- C. <= 0.6
- D. 0.5
Answer: C. <= 0.6
Explanation: Assuming the selection events for candidates A and B are independent, the probability of both occurring is the product of their individual probabilities: P(A and B) = P(A) * P(B). We are given that P(A) = 0.5 and P(A and B) <= 0.3. Substituting the known value gives 0.5 * P(B) <= 0.3. Solving this inequality for P(B) yields P(B) <= 0.6.