After giving a test to a group of students, below is the summary of grades and gender.

A	B	C	Total
Male	5	4	2	11
Female	12	10	20	42
Total	17	14	22	53

If a student is randomly chosen, find the probability that the student is male and earned a A. Leave your answer as a reduced fraction.

To solve this problem, we need to calculate the probability that a randomly chosen student is male and earned an A.

### Step 1: Identify the relevant numbers.
- The total number of students is \( 53 \) (as given in the "Total" row and column).
- The number of male students who earned an A is \( 5 \).

### Step 2: Apply the probability formula.
The probability \( P \) of an event is given by the ratio of the favorable outcomes to the total outcomes:

\[
P(\text{male and earned A}) = \frac{\text{Number of male students who earned A}}{\text{Total number of students}} = \frac{5}{53}
\]

Thus, the probability that a randomly chosen student is male and earned an A is \( \frac{5}{53} \).

Would you like more details or have any questions?

### Related questions:
1. What is the probability that a randomly chosen student is female and earned a B?
2. What is the probability that a randomly chosen student earned a C, regardless of gender?
3. What is the probability that a randomly chosen student is male, regardless of the grade?
4. What is the probability that a randomly chosen student earned an A or B?
5. What is the probability that a randomly chosen student is female?

### Tip:
When calculating probabilities, ensure that the event and the total outcomes are clearly defined to avoid confusion.

If a student is randomly chosen, find the probability that the student is male and earned an A. Leave your answer as a reduced fraction.

Find the probability that a randomly chosen student is male and earned an A based on a summary of grades. Learn how to apply basic probability formulas and reduce fractions. This problem is ideal for students in Grades 6-8.

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