Higher June 2022 Paper 2 Q16

16 A shop manager wants to advertise special offers on social media platforms.

The manager asks 100 customers which of type \(A\), type \(B\) or type \(C\) they use.

Of these customers,
4 use all three types
16 do not use any of type \(A\), type \(B\) or type \(C\)
8 use both type \(A\) and type \(B\), but not type \(C\)
14 use both type \(B\) and type \(C\)
62 in total use type \(A\)
all 20 who use type \(C\) also use at least one of type \(A\) and type \(B\).

(a) Complete the Venn diagram for this information.

(4)

One of the customers is chosen at random.

Given that this customer uses type \(A\),