Giving a test to a group of students, the grades and gender are summarized below Grades and Gender B C Total Male 14 10 7 31 Female 19 27 Total 16 16 26 58 If one student is chosen at random, find the probability that the student was female OR got an "B". Round your answer to 4 decimal places.

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**Grading and Gender Probability Analysis**

**Problem Statement:**
A test was given to a group of students, and the grades along with the gender distribution are summarized in the table below. 

| Grades and Gender | A  | B  | C  | Total |
|-------------------|----|----|----|-------|
| Male              | 14 | 10 | 7  | 31    |
| Female            | 2  | 6  | 19 | 27    |
| Total             | 16 | 16 | 26 | 58    |

**Task:**
Find the probability that a randomly chosen student was either female OR received a grade of "B". Round your answer to four decimal places.

**Solution Approach:**

1. **Identify Total Students:**  
   Total number of students = 58

2. **Identify Favorable Outcomes:**  
   - Total females = 27  
   - Total students with grade "B" = 16  
   - Students who are both female and have a grade of "B" = 6 (to avoid double-counting)

3. **Calculate Probability:**
   - Probability of choosing a female student OR a student with a "B" = (Number of females + Number with grade "B" - Females with grade "B") / Total students
   - Probability = (27 + 16 - 6) / 58

Calculate and round the result to four decimal places.

**Additional Information:**
To submit your answer, enter it in the provided box and click "Submit Question".
Transcribed Image Text:**Grading and Gender Probability Analysis** **Problem Statement:** A test was given to a group of students, and the grades along with the gender distribution are summarized in the table below. | Grades and Gender | A | B | C | Total | |-------------------|----|----|----|-------| | Male | 14 | 10 | 7 | 31 | | Female | 2 | 6 | 19 | 27 | | Total | 16 | 16 | 26 | 58 | **Task:** Find the probability that a randomly chosen student was either female OR received a grade of "B". Round your answer to four decimal places. **Solution Approach:** 1. **Identify Total Students:** Total number of students = 58 2. **Identify Favorable Outcomes:** - Total females = 27 - Total students with grade "B" = 16 - Students who are both female and have a grade of "B" = 6 (to avoid double-counting) 3. **Calculate Probability:** - Probability of choosing a female student OR a student with a "B" = (Number of females + Number with grade "B" - Females with grade "B") / Total students - Probability = (27 + 16 - 6) / 58 Calculate and round the result to four decimal places. **Additional Information:** To submit your answer, enter it in the provided box and click "Submit Question".
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