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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