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A shoe manufacturer wants to find out which type of shoe is the most popular.
They
ask 100 people which of type A, type B or type C they use.
Of these people,
14 use all three types
10 do not use any of type A, type B or type C
23 use both type A and type B, but not type C
34 use both type A and type C
56 in total use type B
all 40 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 B,
b) find the probability that this customer
also uses type A.
10
Α
10
ε
14
19
B
Total marks: