A test was given to a group of students. The grades and gender are summarized below A В C Total Male 15 12 20 47 Female 18 13 10 41 Total 33 25 30 88 If one student is chosen at random from those who took the test, Find the probability that the student was female GIVEN they got a 'C'. Submit Question

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### Probability of Gender Based on Test Grades

A test was given to a group of students. The grades and gender are summarized below:

|       | A  | B  | C  | Total |
|-------|----|----|----|-------|
| **Male**   | 15 | 12 | 20 | 47    |
| **Female** | 18 | 13 | 10 | 41    |
| **Total**  | 33 | 25 | 30 | 88    |

If one student is chosen at random from those who took the test,

**Find the probability that the student was female GIVEN they got a 'C'.**

To calculate this conditional probability, divide the number of females who got a 'C' by the total number of students who got a 'C'.

- Number of females who got a 'C': 10
- Total number of students who got a 'C': 30

Therefore, the probability is:

\[ P(\text{Female} | \text{C}) = \frac{10}{30} = \frac{1}{3} \approx 0.333 \]

You can enter your answer in the provided box and then click on "Submit Question" to verify.
Transcribed Image Text:### Probability of Gender Based on Test Grades A test was given to a group of students. The grades and gender are summarized below: | | A | B | C | Total | |-------|----|----|----|-------| | **Male** | 15 | 12 | 20 | 47 | | **Female** | 18 | 13 | 10 | 41 | | **Total** | 33 | 25 | 30 | 88 | If one student is chosen at random from those who took the test, **Find the probability that the student was female GIVEN they got a 'C'.** To calculate this conditional probability, divide the number of females who got a 'C' by the total number of students who got a 'C'. - Number of females who got a 'C': 10 - Total number of students who got a 'C': 30 Therefore, the probability is: \[ P(\text{Female} | \text{C}) = \frac{10}{30} = \frac{1}{3} \approx 0.333 \] You can enter your answer in the provided box and then click on "Submit Question" to verify.
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