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)
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Chapter1: Combinatorial Analysis
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Answer this question correctly deals with probability of simple events.

### 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**.
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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