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)
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ISBN:9780134753119
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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**
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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