Question Six a) Suppose that a bag contains 4 black balls, 3 red ball, and 5 green balls. Two balls are chosen, without replacement. The first ball is chosen and its color is recorded. It is not returned to the bag. Then, the second ball is chosen. Assume that all balls are equally likely to be chosen. Use a Probability Tree to answer the following questions. i . What is the probability of getting the same color? (3 marks) ii. What is the probability of getting Black given the first ball was red? (4 marks) iii. Find the probability of getting different color on picking two balls (4 marks) b) Two fair dice are rolled at once; each of them can display numbers {1, 2, 3, 4, 5, and 6'}. i. What is the sample space for all events? (3 marks) 1i. What is the probability of displaying the same number? (3 marks) What is the probability of displaying the different number? (3 marks) iv . What is the probability displaying a sum greater than five? (2