Type of Juice Number Sold 10 Apple Orange Grapefruit Cranberry Tomato 18 3 2 Based on this data, if Marcel bought a juice at random, what is the probability that he bought an orange or grapefruit juice? 7. B) 5. D) 9. A) 18 20

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...
icon
Related questions
Topic Video
Question
### Juice Sales Data and Probability Calculation

#### Juice Sales Before School

The chart below represents the number of juices sold in the cafeteria before school one morning:

| **Type of Juice** | **Number Sold** |
|-------------------|-----------------|
| Apple            | 10              |
| Orange           | 18              |
| Grapefruit       | 7               |
| Cranberry        | 3               |
| Tomato           | 2               |

#### Probability Question

Based on this data, if Marcel bought a juice at random, what is the probability that he bought an orange or grapefruit juice?

**Options:**

A) \( \frac{9}{20} \)

B) \( \frac{7}{18} \)

C) \( \frac{2}{5} \)

D) \( \frac{5}{8} \)

#### Solution Explanation

To calculate the probability, follow these steps:

1. **Total Number of Juices Sold**: Sum up all the numbers in the "Number Sold" column:
   \[
   10 + 18 + 7 + 3 + 2 = 40
   \]

2. **Number of Orange and Grapefruit Juices Sold**: Add the number of orange juices and grapefruit juices sold:
   \[
   18 (orange) + 7 (grapefruit) = 25
   \]

3. **Probability Calculation**: Divide the number of orange and grapefruit juices sold by the total number of juices sold:
   \[
   \frac{25}{40} = \frac{5}{8}
   \]

Therefore, the correct answer is:

**D) \( \frac{5}{8} \)**
Transcribed Image Text:### Juice Sales Data and Probability Calculation #### Juice Sales Before School The chart below represents the number of juices sold in the cafeteria before school one morning: | **Type of Juice** | **Number Sold** | |-------------------|-----------------| | Apple | 10 | | Orange | 18 | | Grapefruit | 7 | | Cranberry | 3 | | Tomato | 2 | #### Probability Question Based on this data, if Marcel bought a juice at random, what is the probability that he bought an orange or grapefruit juice? **Options:** A) \( \frac{9}{20} \) B) \( \frac{7}{18} \) C) \( \frac{2}{5} \) D) \( \frac{5}{8} \) #### Solution Explanation To calculate the probability, follow these steps: 1. **Total Number of Juices Sold**: Sum up all the numbers in the "Number Sold" column: \[ 10 + 18 + 7 + 3 + 2 = 40 \] 2. **Number of Orange and Grapefruit Juices Sold**: Add the number of orange juices and grapefruit juices sold: \[ 18 (orange) + 7 (grapefruit) = 25 \] 3. **Probability Calculation**: Divide the number of orange and grapefruit juices sold by the total number of juices sold: \[ \frac{25}{40} = \frac{5}{8} \] Therefore, the correct answer is: **D) \( \frac{5}{8} \)**
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON