Final answer:
The probability that the first student will choose fruit as their dessert is 12/25.
Step-by-step explanation:
To find the probability that the first student will choose fruit as their dessert, we need to calculate the percentage of students who chose fruit out of the total number of students in the first lunch period. To do this, we add up the number of students who chose fruit (24) and divide it by the total number of students (15 + 24 + 11 = 50). The probability is therefore 24/50, which is equivalent to 12/25. So the option closest to the probability is 12/25 (Option C).