GCSE Maths Practice: venn-diagrams

Question 4 of 10

Calculate probability a student likes history or geography.

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\( \begin{array}{l}\textbf{In a class of 50 students, 30 like history,} \\ \textbf{25 like geography, and 10 like both. What is the} \\ \textbf{probability that a student likes either history or geography?}\end{array} \)

Choose one option:

\( \frac{45}{50} \) \( \frac{40}{50} \) \( \frac{35}{50} \)

Add counts, subtract overlap, divide by total students.

Use inclusion-exclusion to avoid double-counting students who like both subjects.