Haley has a bucket of 100 blocks that are all the size and shape. The list below shows the numb blocks of each color in the bucket:
Haley has a bucket of 100 blocks that are all the size and shape. The list below shows the numb blocks of each color in the bucket:
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![### Probability Exercise
**Problem Statement:**
Haley has a bucket of 100 blocks that are all the same size and shape. The list below shows the number of blocks of each color in the bucket:
- **Red:** 20
- **Green:** 25
- **Blue:** 30
- **Yellow:** 15
- **White:** 10
Haley takes a block out of the bucket without looking. What is the probability that the block will be green?
**Solution:**
To find the probability that a block picked at random from the bucket is green, use the following formula for probability:
\[ \text{Probability of an event} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]
In this case:
- Number of green blocks (favorable outcomes) = 25
- Total number of blocks (possible outcomes) = 100
\[ \text{Probability of picking a green block} = \frac{25}{100} = \frac{1}{4} \]
So, the probability that Haley will pick a green block from the bucket is **\(\frac{1}{4}\) or 0.25**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef5d2f7e-1147-4869-b433-272e03228209%2Fe0d03a14-7180-4156-aab6-a0f8afd08be2%2Fsg9lawq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Exercise
**Problem Statement:**
Haley has a bucket of 100 blocks that are all the same size and shape. The list below shows the number of blocks of each color in the bucket:
- **Red:** 20
- **Green:** 25
- **Blue:** 30
- **Yellow:** 15
- **White:** 10
Haley takes a block out of the bucket without looking. What is the probability that the block will be green?
**Solution:**
To find the probability that a block picked at random from the bucket is green, use the following formula for probability:
\[ \text{Probability of an event} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]
In this case:
- Number of green blocks (favorable outcomes) = 25
- Total number of blocks (possible outcomes) = 100
\[ \text{Probability of picking a green block} = \frac{25}{100} = \frac{1}{4} \]
So, the probability that Haley will pick a green block from the bucket is **\(\frac{1}{4}\) or 0.25**.
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