GCSE Maths Practice: venn-diagrams

Question 8 of 10

Calculate probability a student likes history or geography.

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\( \begin{array}{l}\textbf{In a set of 150 students, 90 like history, 100 like} \\ \textbf{geography, and 80 like both. What is the probability that a} \\ \textbf{student likes either history or geography?}\end{array} \)

Choose one option:

\( \frac{110}{150} \) \( \frac{120}{150} \) \( \frac{100}{150} \)

Add counts, subtract overlap, divide by total students.

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