1 Scarlett is making a card. She has a drawer with 3 red, 2 pink, 5 green, 1 white, and 4 purple pieces of paper. How likely is it that Scarlett will randomly select a pink piece of paper?
1 Scarlett is making a card. She has a drawer with 3 red, 2 pink, 5 green, 1 white, and 4 purple pieces of paper. How likely is it that Scarlett will randomly select a pink piece of paper?
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 Question:**
Scarlett is making a card. She has a drawer with 3 red, 2 pink, 5 green, 1 white, and 4 purple pieces of paper. How likely is it that Scarlett will randomly select a pink piece of paper?
- **A** unlikely
- **B** as likely to happen as not
- **C** likely
- **D** certain
**Explanation:**
To determine the likelihood that Scarlett will select a pink piece of paper, we need to calculate the probability.
1. **Count the total number of pieces of paper:**
\( 3 \text{ (red)} + 2 \text{ (pink)} + 5 \text{ (green)} + 1 \text{ (white)} + 4 \text{ (purple)} = 15 \text{ pieces} \)
2. **Count the number of pink pieces:**
\( 2 \text{ pieces} \)
3. **Calculate the probability of picking a pink piece:**
\[
\text{Probability (P)} = \frac{\text{Number of pink pieces}}{\text{Total number of pieces}}
= \frac{2}{15}
\]
Since the fraction \( \frac{2}{15} \) represents a relatively small probability, the correct answer is:
- **A) unlikely**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab480455-3ae2-4576-b20a-0dd0ebeda03d%2F56344930-fab2-40a2-8c40-417d03d72c84%2Fzibacnq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Question:**
Scarlett is making a card. She has a drawer with 3 red, 2 pink, 5 green, 1 white, and 4 purple pieces of paper. How likely is it that Scarlett will randomly select a pink piece of paper?
- **A** unlikely
- **B** as likely to happen as not
- **C** likely
- **D** certain
**Explanation:**
To determine the likelihood that Scarlett will select a pink piece of paper, we need to calculate the probability.
1. **Count the total number of pieces of paper:**
\( 3 \text{ (red)} + 2 \text{ (pink)} + 5 \text{ (green)} + 1 \text{ (white)} + 4 \text{ (purple)} = 15 \text{ pieces} \)
2. **Count the number of pink pieces:**
\( 2 \text{ pieces} \)
3. **Calculate the probability of picking a pink piece:**
\[
\text{Probability (P)} = \frac{\text{Number of pink pieces}}{\text{Total number of pieces}}
= \frac{2}{15}
\]
Since the fraction \( \frac{2}{15} \) represents a relatively small probability, the correct answer is:
- **A) unlikely**
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