Question

In a game of chance, players spin the pointer of a spinner with six equal-sized sections. Part A What is the sample space of the game? A. {1, 2, 3, 4} B. {1, 1, 2, 2, 3, 3, 4, 4} C. {1, 1, 1, 2, 3, 4} D. {1, 2, 2, 3, 4, 4}

Answer 1

C. {1, 1, 1, 2, 3, 4}

D. {1, 2, 2, 3, 4, 4}

Explanation:

The sample space is the set of all possible outcomes of an experiment.

When the spinner is has six equal sized sections, they would be named as 1,2,3,4,5,6 or

these could be named as 1,1,2,2,3,3 or any possible combinations of numbers 1-6 with repetitions. Since there must be six outcomes the sample space can be given by

C. {1, 1, 1, 2, 3, 4} ( there are six outcomes)

and

D. {1, 2, 2, 3, 4, 4} ( there are six outcomes)

But A. {1, 2, 3, 4} and B. {1, 1, 2, 2, 3, 3, 4, 4} cannot be the sample space as they do not contain six possible outcomes.