In this question, $\mathcal{E} = \{x : x \text{ is an integer } 1 \le x \le 10\}$, $A = \{x : x \text{ is a factor of } 20\}$, and $B = \{x : x \text{ is a multiple of } 4\}$.
(a(i))[2]
Complete this Venn diagram.
(a(ii))[1]
State the value of $n(A \cup B)$.
(a(iii))[1]
Give a worded description of the set $A \cap B'$.
(b(i))[2]
Using a Venn diagram, or by any other valid method, find how many people like bananas but not oranges.
(b(ii))[2]
Two of the $30$ people are chosen at random. Find the probability that both like oranges but not bananas.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate Venn diagram” …