1. A bag contains a very large number of balls that are either red (R), blue (B) or green (G) in equal numbers. We play a game in which we draw (three balls randomly from the bag and record the color of the first, second, and third ball drawn. For example, RRB is the outcome that the first ball is red, the second ball is red and the third ball is blue; RBR is the outcome that the first ball is red, the second ball is blue and the third ball is red; BRR is the outcome that the first ball is blue, the second ball is red and the third ball is red, etc. (a) Using the notation above, list the outcomes in the sample space S for this game. (B) let A2 be the event that the first two balls are of different colours, A3 be the event that all three balls are of different colours, and A4 be the event that at least one ball is of a different colour. Then: i. List the outcomes of S in A2. li. List the outcomes of S in A3: ill. TRUE OR FALSE? A2 A3 because the event A2 involves only two balls whereas the event A3 involves three balls. iv. TRUE OR FALSE? A3 A2 = A3 v. TRUE OR FALSE? A4'= A3