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List the sample space of a fair, 9-sided number cube rolled while playing a board game.

A. [tex]\( S=\{1,2,3,4,5,6,7,8,9\} \)[/tex]
B. [tex]\( S=\{1,2,3,4,5,6,7,8,9,10,11,12\} \)[/tex]
C. [tex]\( S=\{9\} \)[/tex]
D. [tex]\( S=\{1,9\} \)[/tex]

Sagot :

GinnyAnswer
To determine the sample space of outcomes for a fair, 9-sided number cube, we need to consider all the possible results that could occur when the cube is rolled.

A fair 9-sided number cube has sides numbered consecutively from 1 to 9. Therefore, each number on the cube is equally likely to occur when rolled.

Consequently, the sample space, which is the set of all possible outcomes, includes all numbers from 1 to 9. We list them as follows:

[tex]\[ S = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \][/tex]

So, when rolling a fair 9-sided number cube, every roll will result in one of these numbers: 1, 2, 3, 4, 5, 6, 7, 8, or 9.

Therefore, the correct sample space is:

[tex]\[ S = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \][/tex]
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