ind the probability that the student was male GIVEN they got an ‘A’

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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If one student is chosen at random, find the probability that the student was male GIVEN they got an ‘A’ 

### Summary of Student Grades and Gender Distribution

When administering a test to a group of students, their grades and gender results are summarized as follows. Please ensure that your calculated percentages are rounded to four decimal places.

#### Grades and Gender Table

|         | A  | B  | C  | Total |
|---------|----|----|----|-------|
| Male    | 18 | 15 | 9  | 42    |
| Female  | 14 | 7  | 19 | 40    |
| **Total**| 32 | 22 | 28 | 82    |

**Explanation:**

- **Rows**:
  - The first row shows the distribution of grades for male students: 18 received an A, 15 a B, and 9 a C, totaling 42 students.
  - The second row shows the distribution for female students: 14 received an A, 7 a B, and 19 a C, for a total of 40 students.
  - The third row displays the overall totals: 32 students received an A, 22 a B, and 28 a C, with 82 students in total.

- **Columns**:
  - Grades are divided into three categories: A, B, and C.
  - The column labeled "Total" summarizes the number of students per gender and overall. 

This information can be used to analyze performance trends among different genders or to evaluate overall academic achievement.
Transcribed Image Text:### Summary of Student Grades and Gender Distribution When administering a test to a group of students, their grades and gender results are summarized as follows. Please ensure that your calculated percentages are rounded to four decimal places. #### Grades and Gender Table | | A | B | C | Total | |---------|----|----|----|-------| | Male | 18 | 15 | 9 | 42 | | Female | 14 | 7 | 19 | 40 | | **Total**| 32 | 22 | 28 | 82 | **Explanation:** - **Rows**: - The first row shows the distribution of grades for male students: 18 received an A, 15 a B, and 9 a C, totaling 42 students. - The second row shows the distribution for female students: 14 received an A, 7 a B, and 19 a C, for a total of 40 students. - The third row displays the overall totals: 32 students received an A, 22 a B, and 28 a C, with 82 students in total. - **Columns**: - Grades are divided into three categories: A, B, and C. - The column labeled "Total" summarizes the number of students per gender and overall. This information can be used to analyze performance trends among different genders or to evaluate overall academic achievement.
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