Mathematics 4024 · O Level · Sets

Sets — practice question

Given $\mathcal{E} = \{1,2,3,4,5,6,7,8,9,10,11,12\}$, $X = \{2,3,5,7,11\}$ and $Y = \{1,2,3,4,5,6\}$.
(a(i))[1]

Work out $X \cap Y$.

(a(ii))[1]

A number $k$ is selected at random from $\mathcal{E}$. Find the probability that $k \notin (X \cup Y)$.

(b)[1]

Shade the set $A \cap (B \cup C)'$ on the Venn diagram.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\{2,3,5\}$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI