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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:
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