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The problem provides a summary of grades received by male and female students, and asks for the probability that a randomly selected student is both female **and** got an "A."

Here’s the breakdown of the dataThe problem provides a summary of grades received by male and female students, and asks for the probability that a randomly selected student is both female **and** got an "A."

Here’s the breakdown of the 

| Gender | A   | B   | C   | Total |
|--------|-----|-----|-----|-------|
| Male   | 2   | 19  | 3   | 24    |
| Female | 18  | 14  | 5   | 37    |
| Total  | 20  | 33  | 8   | 61    |

### Step-by-Step Solution:

To find the probability that the student chosen is **female and got an "A"**, we use the formula for probability:

\[
P(\text{Female and A}) = \frac{\text{Number of females who got an A}}{\text{Total number of students}}
\]

From the table:
- The number of females who got an "A" is **18**.
- The total number of students is **61**.

Thus, the probability is:

\[
P(\text{Female and A}) = \frac{18}{61}
\]

### Final Answer:
The probability that a randomly selected student is female and got an "A" is \(\frac{18}{61}\), which is approximately **0.2951** or **29.51%**.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What is the probability that the student chosen is male and got a "B"?
2. What is the probability that the student got an "A" regardless of gender?
3. What is the probability that the student is female regardless of grade?
4. What is the probability that a student chosen at random got a "C"?
5. How would you calculate the probability that a student is male or got a "C"?

**Tip:** When solving probability problems involving two conditions (like gender and grade), always divide the relevant category count by the total number of possible outcomes.

Given a test to a group of students, the grades and gender are summarized below. Find the probability that the student was female AND got an 'A'.

Learn how to calculate the probability that a randomly chosen student from a group is both female and received an 'A'. The problem involves a breakdown of students by gender and grades. Ideal for students in Grades 8-10.

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