Giving a test to a group of students, the grades and gender are summarized below A В C Total Male 20 16 10 46 Female 18 8 32 Total 26 34 18 78 If one student was chosen at random, find the probability that the student got a C. Give your answer as a fraction.
Giving a test to a group of students, the grades and gender are summarized below A В C Total Male 20 16 10 46 Female 18 8 32 Total 26 34 18 78 If one student was chosen at random, find the probability that the student got a C. Give your answer as a fraction.
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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Question
![**Question 1**
Giving a test to a group of students, the grades and gender are summarized below:
| | A | B | C | Total |
|---------|----|----|----|-------|
| Male | 20 | 16 | 10 | 46 |
| Female | 6 | 18 | 8 | 32 |
| Total | 26 | 34 | 18 | 78 |
**If one student was chosen at random, find the probability that the student got a C.**
Give your answer as a fraction.
[Input box for answer]
**Explanation of Table:**
The table organizes data of students who took a test, separated by gender and their respective grades. For each grade (A, B, C), the table shows how many students obtained that grade, further divided into male and female categories. The totals for each grade and gender are provided at the end of the rows and columns.
In the scenario, you are asked to determine the probability that a randomly selected student received a grade of C. The table shows that a total of 18 students received a C out of 78 students.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2a79f3c-9d5f-475d-8512-37c872933c1c%2F4524a0b4-6c1f-4902-aa8d-418f6801af6e%2Fct4ywv_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 1**
Giving a test to a group of students, the grades and gender are summarized below:
| | A | B | C | Total |
|---------|----|----|----|-------|
| Male | 20 | 16 | 10 | 46 |
| Female | 6 | 18 | 8 | 32 |
| Total | 26 | 34 | 18 | 78 |
**If one student was chosen at random, find the probability that the student got a C.**
Give your answer as a fraction.
[Input box for answer]
**Explanation of Table:**
The table organizes data of students who took a test, separated by gender and their respective grades. For each grade (A, B, C), the table shows how many students obtained that grade, further divided into male and female categories. The totals for each grade and gender are provided at the end of the rows and columns.
In the scenario, you are asked to determine the probability that a randomly selected student received a grade of C. The table shows that a total of 18 students received a C out of 78 students.
Expert Solution
Step 1
From the contingency table we can see that there are total 78 students who took the test.
So, number of students in the sample space, n(S) = 78
Now, E be the event that a student got C.
From the contingency table, the number of students got C = 18
Therefore, the number of student favorable for event E , n(E) = 18
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