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” …