Ask a New Question
Menu

What is the sample space for the spinner​ shown? Are all outcomes equally​ likely?

1
2
3
Question content area bottom
Part 1
The sample space for the spinner consists of the outcomes
1, 2, and 3.
Part 2
Are all outcomes equally​ likely?
A.
​Yes, because the sections on the spinner are all the same size.
B.
​No, because the sections on the spinner are not all the same size.
C.
​No, because the sections on the spinner have different numerical values.

1 answer

Part 1: Sample Space

The sample space for the spinner consists of the outcomes: {1, 2, 3}.

Part 2: Are all outcomes equally likely?

To determine whether all outcomes are equally likely, we need to consider the size of the sections of the spinner:

  • A. Yes, because the sections on the spinner are all the same size. This statement would be true if the spinner sections for 1, 2, and 3 are all of equal size.

  • B. No, because the sections on the spinner are not all the same size. This statement would be true if the sections are of different sizes.

  • C. No, because the sections on the spinner have different numerical values. This statement is not relevant to whether the outcomes are equally likely. The numerical values themselves do not determine equal likelihood.

So, the correct answer depends on the size of the sections on the spinner. If they are the same size, the answer is A. If they are different sizes, the answer is B.