Nguyen Kirk
08/20/2023 · High School

Two fair dice are rolled once- Let X denote the absolute valve of the difference in the numbers that appear on the top faces of the twow dice. Find the probability distribution. of the random variablex.

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The probability distribution of \( X \) is: \[ \begin{align*} P(X = 0) & = \frac{1}{6} \\ P(X = 1) & = \frac{5}{18} \\ P(X = 2) & = \frac{2}{9} \\ P(X = 3) & = \frac{1}{6} \\ P(X = 4) & = \frac{1}{9} \\ P(X = 5) & = \frac{1}{18} \\ \end{align*} \]

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