You have an urn with 10 marbles of which \(n_1 = 6\) are red and \(N_2 = 4\) are blue. You select randomly r = 3 of the marbles without replacement and let \(X\) represent the number of red marbles in your sample. With \(R\) = {0, 1, 2, 3}, determine:

f(x)
P(2 of the 3 are red) = f(2)
P(at most 2 of the 3 are red) = f(0) + f(1) + f(2)

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