If you spun the spinner 100 times, what would the average score be?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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spinner is attached.

If you spun the spinner 100 times, what would the average score be?

**Spinner Analysis and Probability**

Consider the following spinner. The spinner is divided into four distinct, colored sections, each labeled with a number:

1. The first section is purple and labeled with the number 8.
2. The second section is blue and labeled with the number 10.
3. The third section is green and labeled with the number 11.
4. The fourth section is orange and labeled with the number 9.

Each section represents an equal area of the spinner, thus suggesting that the probability of the spinner landing on any one section is the same. If the spinner is fair and spun, any of the four outcomes (8, 10, 11, or 9) is equally likely.

**Probability Calculation**

For a fair spinner divided into four equal parts, the probability \( P \) of landing on any specific number can be calculated using the formula:

\[ P = \frac{1}{\text{Total Number of Sections}} \]

Therefore, for each number (8, 9, 10, 11):

\[ P = \frac{1}{4} \]

Or, in decimal form:

\[ P = 0.25 \]

This indicates that there is a 25% chance of landing on each of the sections when the spinner is spun.
Transcribed Image Text:**Spinner Analysis and Probability** Consider the following spinner. The spinner is divided into four distinct, colored sections, each labeled with a number: 1. The first section is purple and labeled with the number 8. 2. The second section is blue and labeled with the number 10. 3. The third section is green and labeled with the number 11. 4. The fourth section is orange and labeled with the number 9. Each section represents an equal area of the spinner, thus suggesting that the probability of the spinner landing on any one section is the same. If the spinner is fair and spun, any of the four outcomes (8, 10, 11, or 9) is equally likely. **Probability Calculation** For a fair spinner divided into four equal parts, the probability \( P \) of landing on any specific number can be calculated using the formula: \[ P = \frac{1}{\text{Total Number of Sections}} \] Therefore, for each number (8, 9, 10, 11): \[ P = \frac{1}{4} \] Or, in decimal form: \[ P = 0.25 \] This indicates that there is a 25% chance of landing on each of the sections when the spinner is spun.
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