A is a set containing 'n' elements . A subset P of A is chosen at random . The set A is reconstructed by replacing the elements of the subset of P, a subset Q of A is again chosen at random. Find the probability that (i) `PnnQ=phi` `(ii) PuuQ=A`
`(iii) PuuQ=A` and `PnnQ=phi` `(iv)` Q is subset of `P`

Answer

`(i) ((3)/(4))^(n)`
`(ii) ((3)/(4))^(n)`
`(iii) ((1)/(2))^(n)`
`(iv) ((3)/(4))^(n)`