Mathematics 0580 · IGCSE · Sets

Sets — practice question

(a)[1]

Shade the region $P' \cup Q$ in the Venn diagram.

(b)[2]

Use the information to complete the Venn diagram.

(c(i))[1]

State the number of students who have brothers.

(c(ii))[1]

State the number of students who have cousins but not sisters.

(c(iii))[1]

Determine $n(B \cup S \cup C)'$.

(c(iv))[1]

Use set notation to state the set of students who have both cousins and sisters but not brothers.

(c(v))[1]

Find the probability that the student has cousins.

(c(vi))[3]

Calculate the probability that both students have brothers.

(c(vii))[1]

Explain why event $A$ and event $B$ are equally likely.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate Venn shading

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