7 A vegetable basket contains 12 peppers, of which 3 are red, 4 are green and 5 are yellow. Three peppers are taken, at random and without replacement, from the basket.
- Find the probability that the three peppers are all different colours.
- Show that the probability that exactly 2 of the peppers taken are green is \(\frac { 12 } { 55 }\).
- The number of green peppers taken is denoted by the discrete random variable \(X\). Draw up a probability distribution table for \(X\).