Giving a test to a group of students, the grades and gender are summarized below A B 14 19 17 3 Total 26 32 20 C Total Male Female 12 13 50 28 78 If one student is chosen at random, Find the probability that the student was female OR got an "B".
Giving a test to a group of students, the grades and gender are summarized below A B 14 19 17 3 Total 26 32 20 C Total Male Female 12 13 50 28 78 If one student is chosen at random, Find the probability that the student was female OR got an "B".
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Understanding Probability in a Classroom Setting**
When a test is administered to a group of students, the results can be categorized based on various characteristics such as gender and grade. In the provided data, the grades and gender of students are summarized as follows:
| | A | B | C | Total |
|-------|----|----|----|-------|
| Male | 14 | 19 | 17 | 50 |
| Female| 12 | 13 | 3 | 28 |
| Total | 26 | 32 | 20 | 78 |
**Probability Scenario:**
If one student is chosen at random, determine the probability that the student is either female or received a grade of "B".
**To Calculate:**
- **Number of Female Students:** 28
- **Number of Students Who Got a "B":** 32
- **Total Number of Students:** 78
- **Overlapping Data (Female students who got B):** 13
**Formula:**
\[
P(\text{Female or B}) = \frac{\text{Number of Females} + \text{Number of B's} - \text{Number of Female B's}}{\text{Total Number of Students}}
\]
Submit your answer after calculation in the provided space and click "Submit Question".
---
This exercise teaches how to calculate probabilities involving "or" conditions in a combined set of data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16eaad05-c857-4f7c-933f-0b1cc2121bed%2Fedbbbd81-38e3-402c-a97a-db57bba61c9c%2Fwu3kq0q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Probability in a Classroom Setting**
When a test is administered to a group of students, the results can be categorized based on various characteristics such as gender and grade. In the provided data, the grades and gender of students are summarized as follows:
| | A | B | C | Total |
|-------|----|----|----|-------|
| Male | 14 | 19 | 17 | 50 |
| Female| 12 | 13 | 3 | 28 |
| Total | 26 | 32 | 20 | 78 |
**Probability Scenario:**
If one student is chosen at random, determine the probability that the student is either female or received a grade of "B".
**To Calculate:**
- **Number of Female Students:** 28
- **Number of Students Who Got a "B":** 32
- **Total Number of Students:** 78
- **Overlapping Data (Female students who got B):** 13
**Formula:**
\[
P(\text{Female or B}) = \frac{\text{Number of Females} + \text{Number of B's} - \text{Number of Female B's}}{\text{Total Number of Students}}
\]
Submit your answer after calculation in the provided space and click "Submit Question".
---
This exercise teaches how to calculate probabilities involving "or" conditions in a combined set of data.
Expert Solution

Step 1: Determining the given information
The table shows the students grades and gender.
Step by step
Solved in 3 steps with 1 images

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