In the class, there are fewer than 30 people. The probability that a randomly chosen girl is an excellent student is $3 / 13$, and the probability that a randomly chosen boy is an excellent student is $4 / 11$. How many excellent students are there in the class?
The probability that a randomly chosen girl is an excellent student is the ratio of the number of excellent girl students to the total number of girls in the class. Therefore, the number of girls is divisible by 13, meaning it is either 13 or 26.

Similarly, the number of boys is either 11 or 22. Considering that there are fewer than 30 students in the class, we find that there are 13 girls (3 excellent students) and 11 boys (4 excellent students).

## Answer

7 excellent students.