There are 3 red, 5 blue and 4 green balls inside an urn. A total of 2 balls are to be drawn from the urn one by one without replacement.
(a) Draw a tree diagram and write down the probabilities along the branches. [5]
(b) Calculate the probability of getting 2 balls of the same color. [4]
(c) Calculate the probability of drawing 1 red ball and 1 blue ball. [3]
(d) If the first drawn ball is red, calculate the probability of getting a blue ball in the second draw. [2]
(e) If the second ball drawn is blue, calculate the probability of getting a green ball in the first draw. [5]