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A box of writing utensils on a teacher's desk contains 5 red pencils, 6 green pencils, e red markers, and 3 green markers. She selects only one of them. What is the probability she selects a red pencil or a green marker? 9/23 8/23 17/23 11/23

A box of writing utensils on a teacher's desk contains 5 red pencils, 6 green pencils, e red markers, and 3 green markers. She selects only one of them. What is the probability she selects a red pencil or a green marker? 9/23 8/23 17/23 11/23

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Probability Problem: Writing Utensils **Question:** A box of writing utensils on a teacher's desk contains 5 red pencils, 6 green pencils, 9 red markers, and 3 green markers. She selects only one of them. What is the probability she selects a red pencil or a green marker? **Multiple Choice Options:** - O 9/23 - O 8/23 - O 17/23 - O 11/23 **Solution Explanation:** To find the probability of selecting a red pencil or a green marker, follow these steps: 1. **Calculate the Total Number of Utensils:** Total utensils = Red pencils + Green pencils + Red markers + Green markers = 5 + 6 + 9 + 3 = 23 2. **Determine the Favorable Outcomes:** Favorable outcomes include selecting a red pencil or a green marker: - Number of red pencils = 5 - Number of green markers = 3 Total favorable outcomes = Red pencils + Green markers = 5 + 3 = 8 3. **Compute the Probability:** Probability of selecting a red pencil or a green marker = Number of favorable outcomes / Total number of utensils = 8 / 23 **Answer:** The probability she selects a red pencil or a green marker is \( \frac{8}{23} \). From the provided options, the correct answer is: - O 8/23
Transcribed Image Text:### Probability Problem: Writing Utensils **Question:** A box of writing utensils on a teacher's desk contains 5 red pencils, 6 green pencils, 9 red markers, and 3 green markers. She selects only one of them. What is the probability she selects a red pencil or a green marker? **Multiple Choice Options:** - O 9/23 - O 8/23 - O 17/23 - O 11/23 **Solution Explanation:** To find the probability of selecting a red pencil or a green marker, follow these steps: 1. **Calculate the Total Number of Utensils:** Total utensils = Red pencils + Green pencils + Red markers + Green markers = 5 + 6 + 9 + 3 = 23 2. **Determine the Favorable Outcomes:** Favorable outcomes include selecting a red pencil or a green marker: - Number of red pencils = 5 - Number of green markers = 3 Total favorable outcomes = Red pencils + Green markers = 5 + 3 = 8 3. **Compute the Probability:** Probability of selecting a red pencil or a green marker = Number of favorable outcomes / Total number of utensils = 8 / 23 **Answer:** The probability she selects a red pencil or a green marker is \( \frac{8}{23} \). From the provided options, the correct answer is: - O 8/23
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