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Probability Basicsmedium
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Consider three custom dice:

  • Die AAA has faces {2,2,4,4,9,9}\{2, 2, 4, 4, 9, 9\}{2,2,4,4,9,9}.
  • Die BBB has faces {1,1,6,6,8,8}\{1, 1, 6, 6, 8, 8\}{1,1,6,6,8,8}.
  • Die CCC has faces {3,3,5,5,7,7}\{3, 3, 5, 5, 7, 7\}{3,3,5,5,7,7}.

A player rolls Die AAA and Die BBB. What is the probability that the roll of Die AAA is strictly greater than the roll of Die BBB?