Catan, Math, Probability, Statistics.
corresponding probabilities, like so: P(X = [1,0,0,0,0,0,0,0,0,0,0]) = P(obtaining a 2 on a dice pair) = 1/36 P(X = [0,1,0,0,0,0,0,0,0,0,0]) = P(obtaining a 3 on a dice pair) = 2/36 … P(X = [0,0,0,0,0,1,0,0,0,0,0]) = P(obtaining a 7 on a dice pair) = 6/36 … P(X = [0,0,0,0,0,0,0,0,0,0,1]) =