3 dice combinations table - Search
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  2. The possible combinations of three dice can be found in a table. The partitions for each sum are as follows1:
    • 3 = 1 + 1 + 1
    • 4 = 1 + 1 + 2
    • 5 = 1 + 1 + 3, 2 + 2 + 1, 3 + 2 + 1
    • 6 = 1 + 1 + 4, 1 + 2 + 3, 2 + 2 + 2
    • 7 = 1 + 1 + 5, 1 + 2 + 4, 2 + 2 + 3, 3 + 3 + 1
    • 8 = 1 + 1 + 6, 1 + 2 + 5, 2 + 2 + 4, 3 + 4 + 1, 4 + 3 + 1
    • 9 = 1 + 2 + 6, 2 + 3 + 4, 3 + 3 + 3, 2 + 2 + 5, 1 + 3 + 5, 1 + 4 + 4
    There is also a chart that makes it easy to quickly look up any one of those 56 possible combinations2.
    Learn more:
    The partitions for each sum follow: 3 = 1 + 1 + 1 4 = 1 + 1 + 2 5 = 1 + 1 + 3 = 2 + 2 + 1 6 = 1 + 1 + 4 = 1 + 2 + 3 = 2 + 2 + 2 7 = 1 + 1 + 5 = 2 + 2 + 3 = 3 + 3 + 1 = 1 + 2 + 4 8 = 1 + 1 + 6 = 2 + 3 + 3 = 4 + 3 + 1 = 1 + 2 + 5 = 2 + 2 + 4 9 = 6 + 2 + 1 = 4 + 3 + 2 = 3 + 3 + 3 = 2 + 2 + 5 = 1 + 3 + 5 = 1 + 4 + 4
    www.thoughtco.com/probabilities-for-rolling-three-d…
    The following chart: is an attempt to make it very easy to quickly look up any one of those 56 possible combinations. It begins with a column on the left for the 6 rare combinations in which all three dice show the same number, 1-1-1, 2-2-2, 3-3-3, 4-4-4, 5-5-5, and 6-6-6. The background of the space on the chart corresponding
    www.quadibloc.com/other/bo0201.htm
     
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