Mathematics 0580 · IGCSE · Sets

Sets — practice question

The Venn diagrams are displayed. For part (a), a rectangle is used to show the universal set, with two overlapping circles marked $X$ and $Y$. For part (b), the Venn diagram contains these values: In $M$ only: 3. In $M \cap P$: 6. In $P$ only: 12. In $M \cap C$: 5. In $M \cap P \cap C$: 2. In $P \cap C$: 10. In $C$ only: 7. Outside all circles: 23.
(a)[1]

In the Venn diagram, shade $X' \cap Y$.

(b(i))[2]

Find the probability that the chosen gardener does not grow carrots.

(b(ii))[1]

Find the value of $n\big((M \cap P) \cup C'\big)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correctly shaded Venn diagram

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