The experiment consists of tossing a fair die twice X: Counts the number odds Y: Counts the number of 3's With a bit of care (I used excel for assistance - see last page) we find: Px,y(x, y) = P(X = x, Y + y) x = 0 x = 1 y = 0 9/36 12/36 4/36 x = 2 Py (y) = P(Y = y) Marginal density for Y 25 36 y = 1 0 6/36 4/36 10 36 1 y = 2 0 0 1/36 36 Px(x) = P(X = x) Marginal density for X 36 alm 9 353 9 1 36 36

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