Mathematics 0580 · IGCSE · Sets

Sets — practice question

$\mathcal{E} = \{1,2,3,4,5,6,7,8,9,10,11,12\}$ $E = \{x : x \text{ is an even number}\}$ $M = \{x : x \text{ is a multiple of } 3\}$ The Venn diagram below displays sets $E$ and $M$ inside $\mathcal{E}$.
(a(i))[2]

Complete the Venn diagram.

(a(ii))[1]

Write down the value of $n(E \cup M)$.

(a(iii))[2]

Write down the probability that the number belongs to the set $E \cap M$.

(b)[1]

Is she correct? Give a reason to support your answer.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct values entered in the Venn regions

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