2 The British and Irish Lions 2005 rugby squad contained 50 players. The nationalities and playing positions of these players are shown in the table.
| \multirow{2}{*}{} | Nationality |
| | English | Welsh | Scottish | Irish |
| \multirow[b]{2}{*}{Playing position} | Forward | 14 | 5 | 2 | 6 |
| Back | 8 | 7 | 2 | 6 |
- A player was selected at random from the squad for a radio interview. Calculate the probability that the player was:
- a Welsh back;
- English;
- not English;
- Irish, given that the player was a back;
- a forward, given that the player was not Scottish.
- Four players were selected at random from the squad to visit a school. Calculate the probability that all four players were English.