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    Probabilities of a multi facets dice

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    An octahedron is a three dimensional shape with eight sides that are equilateral triangles. This shape is used as a die in games such as Dungeons and Dragons because all eight sides come up with equal probability.

    A. Assuming the sides are numbered 1 through 8, and a person throws two octahedral dice, what are the possible sums? ( Explain your answer)

    B. Which sum has the highest probability? What is this probability? (Explain your answer).

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    Solution Preview

    The minimum value of each die is 1, therefore the minimum value of the sum of two dice rolled together is 1+1=2.
    The maximum value of each die is 8, therefore the maximum value of the sum of two dice rolled together is 8+8=16.

    The possible sums can be any integer between the numbers 2 and 16 (inclusive).

    The most common sum will be 9, since it can utilize all the possible numbers.
    For example ...

    Solution Summary

    The solution determines the probabilities of a multi facets dice.