## Exam-Style Question on Probability## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 450. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

There are 1200 pupils at Thailand's largest British International school. 690 of these pupils are girls.

The probability that a boy chosen at random buys lunch from the school canteen is \( \frac{4}{5} \).

The probability that a girl chosen at random buys lunch from the school canteen is \( \frac{2}{3} \).

(a) Work out the number of students in the school who buy lunch from the school canteen.

(b) Work out the probability that a student chosen at random from the whole school does **not** buy lunch from the school canteen.

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