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InterviewSolution
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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 isA. `(1)/(2)`B. `(1)/(3)`C. `(2)/(5)`D. `(1)/(5)` |
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Answer» Correct Answer - C Let A denote the event that each American man is seated adjacent to his wife and B denote the event that Indian man is seated adjacent to his wife. Then, Required probability `=P(B//A)` Number of ways in which Indian man sits adjacent to his wife when each man is seated adjacents `=("to his wife")/("Number of ways in which each American man is seated adjacent to his wife")` `=((2!)^(5)xx(5-1)!)/((2!)^(4)(6-1)!)=(2)/(5)` |
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