Construct appropriate probabilistic models.
A machine produces two random numbers, each from the set {1, 2, 3, 4}. Let S be the sum of the results of the two numbers. We are told that the probability that S = k is proportional to k, for k = 2; 3,......., 8, and that all possible ways that a given sum k can arise are equally likely.Construct an appropriate probabilistic model and _nd the probability of getting doubles.