Question: Consider an experiment consisting of tossing two true dice. Let X, Y, and Z be the numbers shown on the first die, the second die,

Consider an experiment consisting of tossing two true dice. Let X, Y, and Z be the numbers shown on the first die, the second die, and total of both dice, respectively. Find P (X ≤ 1, Z ≤ 2) and P (X ≤ 1) P (Z ≤ 2) to show that X and Y are not independent.

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