O-LevelMathematicsProbability4024/12 · Oct/Nov 2023 · Q233 Marks

A shop sells hats (H), scarves (S) and gloves (G). A group of 40 people are asked which items they buy in the shop. Some of the results are shown in the Venn diagram. [Figure 23] (a) 2 people buy all three items. Those people that buy both a hat and a scarf also buy gloves. 4 people buy exactly two items. Use this information to complete the Venn diagram. (b) Work out n(S∩(HUG)') .

(a)2 people buy all three items. Those people that buy both a hat and a scarf also buy gloves. 4 people buy exactly two items. Use this information to complete the Venn diagram.[2]
(b)Work out n(S∩(HUG)') .[1]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

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Topic: Probability, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source: O-Level Mathematics, Oct/Nov 2023 Paper 1 Variant 2, question 23.

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