There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 3? Answer: I Submit Answer attempt 1 out of 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Spinner Probability Question**

**Problem Statement:**
There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 3?

**Solution Input:**
There is an input field provided to enter the answer.

**Diagram/Graph Explanation:**
There isn't a specific diagram or graph displayed in the image, but the context involves a spinner partitioned into 13 equal segments, each segment representing the numbers 1 to 13.

**Steps for Solution:**
1. Identify the multiples of 4 within the range of 1 to 13.
2. Identify the multiples of 3 within the range of 1 to 13.
3. Ensure to count each number once if it is a multiple of both 4 and 3.
4. Calculate the probability based on the identified numbers and the total segments (13).

**Answer:**
- **Multiple of 4:** 4, 8, 12
- **Multiple of 3:** 3, 6, 9, 12

Since 12 is a common multiple, we don’t count it twice.

Total unique numbers that fit: 3, 4, 6, 8, 9, 12

There are 6 numbers. 

**Probability Calculation:**
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{6}{13} \]

**Submission:**
Enter the probability value (6/13) in the provided answer input field and click on the "Submit Answer" button.

Note: You have 3 attempts to submit the correct answer as indicated by "attempt 1 out of 3" at the bottom-right corner of the input area.
Transcribed Image Text:**Spinner Probability Question** **Problem Statement:** There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 3? **Solution Input:** There is an input field provided to enter the answer. **Diagram/Graph Explanation:** There isn't a specific diagram or graph displayed in the image, but the context involves a spinner partitioned into 13 equal segments, each segment representing the numbers 1 to 13. **Steps for Solution:** 1. Identify the multiples of 4 within the range of 1 to 13. 2. Identify the multiples of 3 within the range of 1 to 13. 3. Ensure to count each number once if it is a multiple of both 4 and 3. 4. Calculate the probability based on the identified numbers and the total segments (13). **Answer:** - **Multiple of 4:** 4, 8, 12 - **Multiple of 3:** 3, 6, 9, 12 Since 12 is a common multiple, we don’t count it twice. Total unique numbers that fit: 3, 4, 6, 8, 9, 12 There are 6 numbers. **Probability Calculation:** \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{6}{13} \] **Submission:** Enter the probability value (6/13) in the provided answer input field and click on the "Submit Answer" button. Note: You have 3 attempts to submit the correct answer as indicated by "attempt 1 out of 3" at the bottom-right corner of the input area.
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