The Venn diagram indicates how many people enjoy films ($F$), music ($M$) and reading ($R$). The regions show these counts: $8$ in $F$ only, $4$ in $M$ only, $2$ in $R$ only, $2$ in $F\cap M$, $1$ in $F\cap R$, $0$ in $M\cap R$, $3$ in $F\cap M\cap R$, and $2$ outside all three sets.
(a(i))[1]
Find the cardinality of \(M\).
(a(ii))[1]
Find \(n(R \cup M)\).
(b)[1]
A person is selected at random from those who like films. Write down the probability that this person also likes music.
(c)[1]
On the Venn diagram, shade $M' \cap (F \cup R)$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “9” …