Mr. Agbagba, an ICAG qualified member, and his wife, an ICAEW qualified member, attended an interview for two vacancies for the post of College Finance Officer at a Private University. The probability of the interview panel selecting the man is 1/7, and that of the wife is 1/5.

Required:
Assuming the event of selecting a man and selecting a woman are independent, determine the probability that:
i) Both of them will be selected. (3 marks)
ii) Only one of them will be selected. (3 marks)
iii) None of them will be selected. (3 marks)

i) Let A be the event a man is selected and B be the event a woman is selected. Then,

ii)

 

iii)