Two bags contain coloured marbles. Bag X contains 4 red
marbles and 5 blue marbles.
Bag Y contains 3 red marbles and 2 blue marbles.
A marble is drawn at random from bag X and put into bag Y, a
second marble is then drawn at random from bag Y.
(a) draw the probability tree diagram
(b) find the probability that the two marbles drawn are of
different colours.
