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Emma’s POTW Solution

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Emma DeGrace

Three identical dice with faces of 2, 4, and 6 are rolled. There are 10 possible combinations of the dice rolls that result in 7 different possible sums, ranging from 6 to 18. The document lists the 10 combinations of dice rolls and their corresponding sums to demonstrate how 7 is the number of different sums possible when rolling the 3 dice.

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Emma’s POTW Solution5/9 through 5/13
Of three identical dice, each contains two faces with the number two, two faces with the number four, and two faces with the number six. How many different sums are possible when the three dice are rolled?There are ten possible combinations of dice rolls:(2,2,2), (2,2,4), (2,2,6), (2,4,4), (2,4,6), (2,6,6), (4,4,4), (4,4,6), (4,6,6), and (6,6,6)With the sums of:6, 8, 10, 10, 12, 12, 14, 14, 16, and 18So there are seven different sums possible.(6, 8, 10, 12, 14, 16, and 18)

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Emma’s POTW Solution

  • 2. Of three identical dice, each contains two faces with the number two, two faces with the number four, and two faces with the number six. How many different sums are possible when the three dice are rolled?There are ten possible combinations of dice rolls:(2,2,2), (2,2,4), (2,2,6), (2,4,4), (2,4,6), (2,6,6), (4,4,4), (4,4,6), (4,6,6), and (6,6,6)With the sums of:6, 8, 10, 10, 12, 12, 14, 14, 16, and 18So there are seven different sums possible.(6, 8, 10, 12, 14, 16, and 18)