To determine the probability of selecting a student who wants the option to keep studying online or is a boy, we can denote:
- Let \( A \) be the event that a student wants to study online.
- Let \( B \) be the event that a student is a boy.
From the table, we have the following information:
- \( P(A) = \frac{13}{25} \) (the total number of students who want to study online)
- \( P(B) = \frac{10}{25} \) (the total number of boys)
- \( P(A \cap B) = \frac{3}{25} \) (the number of boys who want to study online)
Using the formula for the probability of the union of two events:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]
We can substitute the values we have:
\[ P(A \cup B) = \frac{13}{25} + \frac{10}{25} - \frac{3}{25} \]
This matches the response:
1325 + 1025 - 325
Thus, the correct choice is:
1325 + 1025 - 325