Question 2) (40 points) Consider the following problem that we discussed in class: Example 4.10 An urn always contains 2 balls. Ball colors are red and blue. At each stage a ball is randomly chosen and then replaced by a new ball, which with probability 0.8 is the same color, and with probability 0.2 is the opposite color, as the ball it replaces. If initially both balls are red, find the probability that the fifth ball selected is red. Now, I make the following change to this problem: I want you to solve this problem assuming that there are 3 balls in the urn (instead of 2) that are initially all red. What is the probability that the fifth ball selected is red