- There are 16 competitors in a table-tennis competition, 5 of which come from Racknor Comprehensive School. Prizes are awarded to the competitors finishing in each of first, second and third place.
Assuming that all the competitors have an equal chance of success, find the probability that the students from Racknor Comprehensive
- win no prizes,
- win the \(1 ^ { \text {st } }\) and \(3 ^ { \text {rd } }\) place prizes but not the \(2 ^ { \text {nd } }\) place prize,
- win exactly one of the prizes.