Question

List the sample space of a fair, 11-sided number cube rolled while playing a board game.

S = {1,11}
S = {1}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
S = {1, 2, 3 ,4, 5, 6, 7, 8, 9, 10, 11}

Answer 1

(d) S = {1, 2, 3 ,4, 5, 6, 7, 8, 9, 10, 11}

Explanation:

You want the sample space of a fair 11-sided "number cube".

Sample space

The sample space is a listing of the possible outcomes. For an 11-sided die, it will be the numbers 1–11:

S = {1, 2, 3 ,4, 5, 6, 7, 8, 9, 10, 11} . . . . . choice D

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Additional comment

A cube has 6 faces, so a number cube usually has a sample space of the numbers 1–6. An 11-sided polyhedron will not be a cube. It is likely to be difficult to make such an object fair: have equal probability of showing any given number, as the faces are likely to be different shapes, areas, and distances from the center of mass.

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