Tow persons A and B appear in an interview for two vacancies.

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Tow persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1/3 and 1/6 respectively, then the probability that none of them is selected, is

1. 5/8
2. 5/12
3. 1/12
4. 1/24
5. None of the above

Correct Option: A

Required probability = P (A) x p (B)
= (1- 1/4) x (1- 1/6) = (3/4) x (5/6)
= 5/8