A man and a woman appear in an interview for two vacancies in the same post. The odds in favor of the man’s selection are 1 : 2 & the odds against the woman’s rejection are 1 : 3. Find the probability that neither of them is selected.
Explanation:
Odds in favor of man = 1 : 2
∴ P (man is selected) = 1/3
Similarly, P (woman is selected) = 3/4
P (neither man nor woman is selected) = P (man is not selected) × P (woman is not selected)
∴ Required probability = 2/3 × 1/4 = 1/6
Hence, option (d).
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