$\xi = \{\text{students in a class}\},\; P = \{\text{students who study Physics}\},\; C = \{\text{students who study Chemistry}\}$
Also, $n(\xi)=24,\; n(P)=17,\; n(C)=14,\; n(P\cap C)=9$
(a)[2]
Complete the Venn diagram by filling in the missing values.
(b(i))[1]
Find the value of $n(P \cap C')$.
(b(ii))[1]
Find the value of $n(P \cup C')$.
(c)[3]
Find the probability that one student studies both subjects and the other studies Chemistry but not Physics.
(d)[2]
Find the probability that both of them study Chemistry.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A completed Venn diagram showing the correct values” …