2) A jar contains 5 red marbles, 5 green marbles, and 10 blue marbles. What is the probability of randomly selecting a red marble from the jar? Explain
2) A jar contains 5 red marbles, 5 green marbles, and 10 blue marbles. What is the probability of randomly selecting a red marble from the jar? Explain
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Question 2: Probability of Selecting a Red Marble**
A jar contains the following marbles:
- 5 red marbles
- 5 green marbles
- 10 blue marbles
**Problem:** What is the probability of randomly selecting a red marble from the jar? Explain.
**Solution Explanation:**
To determine the probability of selecting a red marble, we follow these steps:
1. **Total Number of Marbles:** Calculate the total number of marbles in the jar by adding the numbers of each color:
\[
5 \text{ (red)} + 5 \text{ (green)} + 10 \text{ (blue)} = 20 \text{ marbles}
\]
2. **Favorable Outcomes:** The number of favorable outcomes (selecting a red marble) is 5.
3. **Probability Formula:** Use the probability formula:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}}
\]
4. **Calculate Probability:**
\[
\text{Probability of selecting a red marble} = \frac{5}{20} = \frac{1}{4} = 0.25
\]
Thus, the probability of randomly selecting a red marble from the jar is 0.25, or 25%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26a21d52-7816-4917-a16a-44de3883c3a3%2Fa64f7a16-2549-4655-a039-0a74ee562b1e%2Fqowucp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 2: Probability of Selecting a Red Marble**
A jar contains the following marbles:
- 5 red marbles
- 5 green marbles
- 10 blue marbles
**Problem:** What is the probability of randomly selecting a red marble from the jar? Explain.
**Solution Explanation:**
To determine the probability of selecting a red marble, we follow these steps:
1. **Total Number of Marbles:** Calculate the total number of marbles in the jar by adding the numbers of each color:
\[
5 \text{ (red)} + 5 \text{ (green)} + 10 \text{ (blue)} = 20 \text{ marbles}
\]
2. **Favorable Outcomes:** The number of favorable outcomes (selecting a red marble) is 5.
3. **Probability Formula:** Use the probability formula:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}}
\]
4. **Calculate Probability:**
\[
\text{Probability of selecting a red marble} = \frac{5}{20} = \frac{1}{4} = 0.25
\]
Thus, the probability of randomly selecting a red marble from the jar is 0.25, or 25%.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman