Giving a test to a group of students, the grades and gender are summarized below Grades and Gender C A В Total Male 14 4 20 Female 13 17 15 45 Total 15 31 19 65 If one student is chosen at random, find the probability that the student was male AND got a "C". Round your answer to 4 decimal places.

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### Question 9

**Problem Statement:**

Giving a test to a group of students, the grades and gender are summarized below:

**Table: Grades and Gender**

|         | A  | B  | C  | Total |
|---------|----|----|----|-------|
| Male    | 2  | 14 | 4  | 20    |
| Female  | 13 | 17 | 15 | 45    |
| **Total** | **15** | **31** | **19** | **65**    |

If one student is chosen at random, find the probability that the student was male AND got a "C". Round your answer to 4 decimal places.

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---

**Answer Explanation:**

To solve the problem, we'll calculate the probability of selecting a student who is both male and has received a "C".

1. **Identify the number of male students who got a "C":** The table shows 4 male students got a "C".

2. **Identify the total number of students:** The total number of students is 65.

3. **Calculate the probability:** 
   \[
   \text{Probability (Male and C)} = \frac{\text{Number of male students with C}}{\text{Total number of students}} = \frac{4}{65}
   \]

4. **Round to 4 decimal places:** 
   \[
   \text{Probability} \approx 0.0615
   \]

Enter “0.0615” in the answer box and press “Submit Question.”
Transcribed Image Text:### Question 9 **Problem Statement:** Giving a test to a group of students, the grades and gender are summarized below: **Table: Grades and Gender** | | A | B | C | Total | |---------|----|----|----|-------| | Male | 2 | 14 | 4 | 20 | | Female | 13 | 17 | 15 | 45 | | **Total** | **15** | **31** | **19** | **65** | If one student is chosen at random, find the probability that the student was male AND got a "C". Round your answer to 4 decimal places. [Text Box for Answer] [Submit Question Button] --- **Answer Explanation:** To solve the problem, we'll calculate the probability of selecting a student who is both male and has received a "C". 1. **Identify the number of male students who got a "C":** The table shows 4 male students got a "C". 2. **Identify the total number of students:** The total number of students is 65. 3. **Calculate the probability:** \[ \text{Probability (Male and C)} = \frac{\text{Number of male students with C}}{\text{Total number of students}} = \frac{4}{65} \] 4. **Round to 4 decimal places:** \[ \text{Probability} \approx 0.0615 \] Enter “0.0615” in the answer box and press “Submit Question.”
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