1. **State the problem:** We want to find the probability that a student is male given that the student has an A in the class.
2. **Identify the data from the table:**
- Number of females with an A: 9
- Number of males with an A: 2
- Number of females without an A: 5
- Number of males without an A: 10
3. **Recall the formula for conditional probability:**
$$P(\text{Male} \mid \text{Has an A}) = \frac{P(\text{Male and Has an A})}{P(\text{Has an A})}$$
4. **Calculate the numerator:**
Number of males with an A = 2
5. **Calculate the denominator:**
Total number of students with an A = Number of females with an A + Number of males with an A = 9 + 2 = 11
6. **Calculate the conditional probability:**
$$P(\text{Male} \mid \text{Has an A}) = \frac{2}{11}$$
7. **Final answer:**
The probability that a student is male given that they have an A is $$\boxed{\frac{2}{11}}$$.
Conditional Probability 6268Ac
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