Suppose a circular clothes rack has n shirts, each of which has a uniformly chosen random color over a set of three possible colors (red, blue, or green). Assume all the colors are independent. Let x be the number of shirts that share a color with at least one of the two shirts adjacent to it. Find E[x] and Var(x).

a) Expectation and Variation
b) Probability Distribution
c) Covariance Calculation
d) Color Combinations