# Exam-Style Question on Sets

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 583. This question is similar to one that appeared on a GCSE Higher paper in 2020. The use of a calculator is allowed.

(a) Complete the Venn diagram with the following information.

$$\mathscr{E}= \{1,2,3,4,5,6,7,8,9,10,11,12\}$$ $$A = \{ \text{odd numbers}\}$$ $$B = \{ \text{factors of 24} \}$$

(a) Complete the Venn diagram with this information.

A number is chosen at random from the universal set.

(b) What is the probability that the number is in the set $$A \cap B$$?

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