A and B go for an interview for two vacancies. The probability for the…
2025
A and B go for an interview for two vacancies. The probability for the selection of A is 1/3 and whereas the probability for the selection of B is 1/5. What is the probability that none of them are selected?
- A.
3/5
- B.
8/15
- C.
7/12
- D.
7/15
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Correct answer: B
Let the probability that candidate A is selected be 1/3 and the probability that candidate B is selected be 1/5. Assume the selections are independent.
We want the probability that neither candidate is selected.
Probability that A is not selected = 1 - 1/3 = 2/3.
Probability that B is not selected = 1 - 1/5 = 4/5.
Since these events are independent, the probability that neither is selected is (2/3) * (4/5) = 8/15.
Therefore, the probability that none of them are selected is 8/15.