Mathematics 0580 · IGCSE · Sets

Sets — practice question

$\xi = \{\text{people in a group}\}$ $B = \{\text{people who own a bicycle}\}$ $C = \{\text{people who own a car}\}$ A group contains 120 people. 21 people own a bicycle. 15 people own both a bicycle and a car. 35 people own neither a bicycle nor a car.
(a(i))[2]

Complete the Venn diagram by placing the values in the appropriate regions.

(a(ii))[1]

Find the probability that the chosen person owns a car.

(b)[1]

Shade the area represented by $D \cup E$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate Venn diagram showing 6, 15 and 64

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