Repeat Problem 33 if the red urn contains 5 red and 3 blue marbles, and the blue urn contains 1 red and 3 blue marbles.
Problem 33
A red urn contains 2 red marbles and 3 blue marbles, and a blue urn contains 1 red marble and 4 blue marbles. A marble is selected from an urn, the color is noted, and the marble is returned to the urn from which it was drawn. The next marble is drawn from the urn whose color is the same as the marble just drawn.
(A) Draw a transition diagram for this process.
(B) Write the transition matrix.
(C) Find the stationary matrix and describe the long-run behavior of this process.