Catan, Math, Probability, Statistics.
P(obtaining a 12 on a dice pair) = 1/36 If you multiple these values with their probabilities, and add up the resulting vectors, you end up with: E[X] = [1/36, 2/36, 3/36, 4/36, 5/36, 6/36, 5/36, 4/36, 3/36, 2/36, 1/36]. Note, each element of E[X] is the probability of getting the corresponding