Mathematics 0580 · IGCSE · Sets

Sets — practice question

$\mathcal{E} = \{\text{office workers}\}$, $C = \{\text{workers who drink coffee}\}$, $T = \{\text{workers who drink tea}\}$. 47 people work in the office. 32 people drink tea. A Venn diagram is displayed. The region outside both circles contains 8. The T-only region contains 6.
(a)[2]

Complete the Venn diagram shown.

(b)[1]

Write down the value of $n(C \cap T)$.

(c)[1]

Calculate the probability that a worker selected at random does not drink coffee.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: A correct Venn diagram showing 7 and 26

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