Question

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) 1/2 

(B) 1/3 

(C) 2/5 

(D) 1/5

Answer 1

Answer is (C) 2/5

Fixing four American couple and one Indian man in between any two couples, we have five different ways in which his wife can be seated, of which 2 cases are favourable. Therefore, the required probability is 2/5.