Three blue chips and three green chips are distributed to two urns such that each urn has exactly three chips. At each step we draw one chip from each urn and place it in the other urn. Let X, be the number of blue chips in the first urn. This is a Markov chain. a) What are the states? b) Draw the transition diagram. c) Write the transition matrix.

See the attached picture for answer.  

Step-by-step explanation:

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction