An opaque bag contains 28 yellow marbles and 11 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places.
An opaque bag contains 28 yellow marbles and 11 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Probability Problem: Selecting Teal Marbles**
An opaque bag contains 28 yellow marbles and 11 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places.
*Solution Approach:*
1. **Identify Total Number of Marbles:**
- Total marbles = 28 yellow + 11 teal = 39 marbles.
2. **Combinatorial Selection:**
- Calculate the total number of ways to choose 2 marbles from 39.
- Calculate the number of ways to choose 2 teal marbles from 11.
3. **Probability Calculation:**
- Use the formula for probability:
\[
P(\text{both marbles are teal}) = \frac{\text{Number of ways to choose 2 teal marbles}}{\text{Number of ways to choose 2 marbles from 39}}
\]
4. **Round the Answer:**
- Ensure the final probability is rounded to four decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75c99f29-b994-4b0b-a9b8-00ecf29768e8%2F6c15a498-8410-479b-9eea-b9900f915ce9%2F5r21pwe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Problem: Selecting Teal Marbles**
An opaque bag contains 28 yellow marbles and 11 teal marbles. If two marbles are randomly chosen from the bag at the same time, find the probability that both marbles are teal. Round your answer to four decimal places.
*Solution Approach:*
1. **Identify Total Number of Marbles:**
- Total marbles = 28 yellow + 11 teal = 39 marbles.
2. **Combinatorial Selection:**
- Calculate the total number of ways to choose 2 marbles from 39.
- Calculate the number of ways to choose 2 teal marbles from 11.
3. **Probability Calculation:**
- Use the formula for probability:
\[
P(\text{both marbles are teal}) = \frac{\text{Number of ways to choose 2 teal marbles}}{\text{Number of ways to choose 2 marbles from 39}}
\]
4. **Round the Answer:**
- Ensure the final probability is rounded to four decimal places.
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