To find the probability of selecting a student who wants the option of studying online or is a boy, we can use the principle of inclusion-exclusion.
Let:
- A = the event of selecting a student who wants the option to keep studying online.
- B = the event of selecting a boy.
From the table, we have:
- P(A) = Probability of choosing a student who wants to study online = \( \frac{13}{25} \)
- P(B) = Probability of choosing a boy = \( \frac{10}{25} \)
- P(A and B) = Probability of choosing a boy who wants to study online = \( \frac{3}{25} \)
Using the formula for the probability of A or B:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]
This simplifies to:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]
So the correct mathematical sentence that can be used to calculate this probability is:
\[ \frac{13}{25} + \frac{10}{25} - \frac{3}{25} \]
Therefore, the appropriate response is:
1325 + 1025 − 325
Start Fraction 13 over 25 End Fraction plus Start Fraction 10 over 25 End Fraction minus Start Fraction 3 over 25 End Fraction.