Giving a test to a group of students, the grades and gender are summarized below Grades vs. Gender B C 4 19 5| 16 А В Male 20 Female 2 If one student was chosen at random, find the probability that the student was female. Probability = decimal places) (Round to 4

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**Educational Text:**

Title: Probability of Selecting a Female Student Based on Test Grades

In a study involving a group of students who took a test, the distribution of grades by gender is summarized in the table below:

**Grades vs. Gender**

|         |  A  |  B  |  C  |
|---------|-----|-----|-----|
| Male    | 20  |  4  | 19  |
| Female  |  5  | 16  |  2  |

To find the probability that a student chosen at random from this group is female, follow these steps:

1. **Calculate the Total Number of Students**:
   - Total males = 20 + 4 + 19 = 43
   - Total females = 5 + 16 + 2 = 23
   - Total students = 43 + 23 = 66

2. **Calculate the Probability of Selecting a Female Student**:
   - Probability (Female) = Total females / Total students
   - Probability (Female) = 23 / 66

3. **Round the Probability**:
   - Round the result to four decimal places.

**Probability = _______** (Round to 4 decimal places)
Transcribed Image Text:**Educational Text:** Title: Probability of Selecting a Female Student Based on Test Grades In a study involving a group of students who took a test, the distribution of grades by gender is summarized in the table below: **Grades vs. Gender** | | A | B | C | |---------|-----|-----|-----| | Male | 20 | 4 | 19 | | Female | 5 | 16 | 2 | To find the probability that a student chosen at random from this group is female, follow these steps: 1. **Calculate the Total Number of Students**: - Total males = 20 + 4 + 19 = 43 - Total females = 5 + 16 + 2 = 23 - Total students = 43 + 23 = 66 2. **Calculate the Probability of Selecting a Female Student**: - Probability (Female) = Total females / Total students - Probability (Female) = 23 / 66 3. **Round the Probability**: - Round the result to four decimal places. **Probability = _______** (Round to 4 decimal places)
Expert Solution
Step 1

From the provided information,

Total students = 20 + 4 + 19 + 5 + 16 + 2 = 66

Total female = 5 + 16 + 2 = 23

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