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

How many ways are there to seat n married couples (ngeq3) around a table such that men and women alternate and each women is not adjacent to her husband.

The probability that a married man watches certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

The probability that a married man watches certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

PARAGRAPH A There are five students S_1,\ S_2,\ S_3,\ S_4 and S_5 in a music class and for them there are five seats R_1,\ R_2,\ R_3,\ R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5 . But, on the examination day, the five students are randomly allotted five seats. For i=1,\ 2,\ 3,\ 4, let T_i denote the event that the students S_i and S_(i+1) do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event T_1nnT_2nnT_3nnT_4 is 1/(15) (b) 1/(10) (c) 7/(60) (d) 1/5

The odds against a man who is 45 years old, living till he is 70 are 7:5 and the odds against his wife who is now 36, living till she is 61 are 5:3 . Find the probability that (a) the couple will be alive 25 years hence, (b) at least one of then will be alive 25 years hence.