6 The people living in 3 houses are classified as children ( \(C\) ), parents ( \(P\) ) or grandparents ( \(G\) ). The numbers living in each house are shown in the table below.
| House number 1 | House number 2 | House number 3 |
| \(4 C , 1 P , 2 G\) | \(2 C , 2 P , 3 G\) | \(1 C , 1 G\) |
- All the people in all 3 houses meet for a party. One person at the party is chosen at random. Calculate the probability of choosing a grandparent.
- A house is chosen at random. Then a person in that house is chosen at random. Using a tree diagram, or otherwise, calculate the probability that the person chosen is a grandparent.
- Given that the person chosen by the method in part (ii) is a grandparent, calculate the probability that there is also a parent living in the house.