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

Question id: 292. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

If the universal set is the set of positive even numbers less than 30 and:

$$A = \{4, 8, 12, 16, 20, 24, 28\}$$ $$B = \{6, 12, 18, 24, 28\}$$(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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