Probability I · Random variables and distribution functions
Roll two fair six-sided dice independently and let X be the absolute difference between…
Problem
Roll two fair six-sided dice independently and let X be the absolute difference between their results. Determine the probability mass function of X. Find \(\Pr(X\le2)\) and \(\Pr(X<2)\), and explain why the six possible values of X are not equally likely.
Hint
Count ordered die pairs, not just possible differences.
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