A large bag of M&M's is used to determine the probability that a randomly selected candy will have a particular color. The probabilities for the colors are given below. Determine the probability that a randomly selected candy is yellow. Color Blue Brown Green Red Yellow Orange Probability 0.13 0.19 0.06 0.14 ? 0.02
A large bag of M&M's is used to determine the probability that a randomly selected candy will have a particular color. The probabilities for the colors are given below. Determine the probability that a randomly selected candy is yellow. Color Blue Brown Green Red Yellow Orange Probability 0.13 0.19 0.06 0.14 ? 0.02
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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![### Determining the Probability of Colored M&M's in a Bag
A large bag of M&M’s is used to determine the probability that a randomly selected candy will have a particular color. The probabilities for the colors are given below. Determine the probability that a randomly selected candy is yellow.
#### Table of Probabilities
| Color | Blue | Brown | Green | Red | Yellow | Orange |
|-------|------|-------|-------|-----|--------|--------|
| Probability | 0.13 | 0.19 | 0.06 | 0.14 | ? | 0.02 |
The probabilities should sum up to 1. We can find the missing probability for yellow by adding up the known probabilities and subtracting their sum from 1.
Calculations:
\[ \text{Total Probability} = 0.13 + 0.19 + 0.06 + 0.14 + 0.02 = 0.54 \]
\[ \text{Probability (Yellow)} = 1 - 0.54 = 0.46 \]
### Conclusion
The probability that a randomly selected M&M candy from the bag is yellow is \( \boxed{0.46} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23f14c8c-5141-4be2-aa93-07a6356450c6%2Fee68c60f-577f-4c3b-96ad-07cb22135128%2F57o5epg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Determining the Probability of Colored M&M's in a Bag
A large bag of M&M’s is used to determine the probability that a randomly selected candy will have a particular color. The probabilities for the colors are given below. Determine the probability that a randomly selected candy is yellow.
#### Table of Probabilities
| Color | Blue | Brown | Green | Red | Yellow | Orange |
|-------|------|-------|-------|-----|--------|--------|
| Probability | 0.13 | 0.19 | 0.06 | 0.14 | ? | 0.02 |
The probabilities should sum up to 1. We can find the missing probability for yellow by adding up the known probabilities and subtracting their sum from 1.
Calculations:
\[ \text{Total Probability} = 0.13 + 0.19 + 0.06 + 0.14 + 0.02 = 0.54 \]
\[ \text{Probability (Yellow)} = 1 - 0.54 = 0.46 \]
### Conclusion
The probability that a randomly selected M&M candy from the bag is yellow is \( \boxed{0.46} \).
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