Question

create an example of a non-uniform probability model using the spinner below

Answer 1

To create a non-uniform probability model using a spinner, we first need to establish the divisions on the spinner and assign different probabilities of landing on each section.

### Example of a Non-Uniform Spinner:
Let’s assume we have a spinner divided into 4 sections with labels: A, B, C, and D.

1. **Sections and Labels**:
- Section 1: A
- Section 2: B
- Section 3: C
- Section 4: D

2. **Non-Uniform Probabilities**:
- P(A) = 0.1 (10%)
- P(B) = 0.3 (30%)
- P(C) = 0.4 (40%)
- P(D) = 0.2 (20%)

### Total Probability Check:
To ensure this is a valid probability model, the total probability must sum to 1:
- 0.1 (for A) + 0.3 (for B) + 0.4 (for C) + 0.2 (for D) = 1.0

### Explanation:
In this example, the spinner has a non-uniform distribution since the probabilities of landing on A, B, C, and D are not equal. For instance, it is most likely to land on C, and least likely to land on A.

### Visual Representation:
If you were to visualize this spinner, you could draw a circle divided into four sections, with each section sized differently according to its probability:
- Section A could be relatively small,
- Section B a bit larger,
- Section C the largest,
- Section D a medium size.

This model effectively represents a non-uniform probability distribution, as each section is not equally probable.