18M.1.SL.TZ2.T_9

pestleMathematicsAASLPaper 118M· sl-4-6-combined-mutually-exclusive-conditional-independence-prob-diagramssource ↗

Consider the following Venn diagrams.

Write down an expression, in set notation, for the shaded region represented by Diagram 1.

[1]

a.i.

Write down an expression, in set notation, for the shaded region represented by Diagram 2.

[1]

a.ii.

Write down an expression, in set notation, for the shaded region represented by Diagram 3.

[2]

a.iii.

Shade, on the Venn diagram, the region represented by the set $\left( {H \cup I} \right)'$ .

[1]

b.i.

Shade, on the Venn diagram, the region represented by the set $J \cap K$ .

[1]

b.ii.

Markscheme / solution

A' (A1)

Note: Accept alternative set notation for complement such as U − A.

[1 mark]

a.i.

$C \cap D'$ OR $D' \cap C$ (A1)

Note: Accept alternative set notation for complement.

[1 mark]

a.ii.

$\left( {E \cap F} \right) \cup G$ OR $G \cup \left( {E \cap F} \right)$ (A2) (C4)

Note: Accept equivalent answers, for example $\left( {E \cup G} \right) \cap \left( {F \cup G} \right)$ .

[2 marks]

a.iii.

(A1)

[1 mark]

b.i.

(A1) (C2)
[1 mark]

b.ii.

Examiners’ report

[N/A]

a.i.

[N/A]

a.ii.

[N/A]

a.iii.

[N/A]

b.i.

[N/A]

b.ii.