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

Step-by-step solution

Let E= event when each American man is seated adjacent to his wife and A= event when Indian man is seated adjacent to his wife. Now, n(A E)=(4 !) (2 !)^5 Even when each American man is seated adjacent to his wife. Again aligned n(E) & =(5 !) (2 !)^4 P ( A E ) & = n(A E) n(E) & = (4 !) (2 !)^5 (5 !) (2 !)^4 = 2 5 aligned P ( A E )= n(A E) n(E) ALITER Fixing four American couples and one Indian man in between any two couples, we have 5 different ways in which his wife can be seated, of which 2 cases are favourable. R