Correct Answer - `1//2`
Let `E_(1)` be the events that man will be selected and `E_(2)` the events that woman will be selected. Then,
`P(E_(1))=1/4soP(barE_(1))=1-1/4=3/4`
`P(E_(2))=1/3,soP(barE_(2))=1-1/3=2/3`
Clearly `E_(1)and E_(2)` are independent...