(a) A bag contains 5 white balls, 3 green balls and 4 red balls. Two balls are drawn from

the bag without replacement.

(i) Draw a tree diagram to represent all possible outcomes, with respective

probabilities shown on tree.

(ii) What is the probability that the one ball is red and the other is green?

(iii) What is the probability that both balls are of same colour?

(iv) If the second ball is white, what is the probability that the first ball is also

white?