jee-advanced 2007 Q61

jee-advanced · India · paper1 Conditional Probability Combinatorial Conditional Probability (Counting-Based)

One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is
(A) $\frac{1}{2}$
(B) $\frac{1}{3}$
(C) $\frac{2}{5}$
(D) $\frac{1}{5}$

One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is\\
(A) $\frac{1}{2}$\\
(B) $\frac{1}{3}$\\
(C) $\frac{2}{5}$\\
(D) $\frac{1}{5}$

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