A Marketing Director launches three new products into the market. A market research survey showed that the probability of any retailer selling the product was: Product A = 0.75, Product B = 0.50, Product C = 0.80

(a) Construct a probability tree of the problem. (10 marks)

(b) Calculate the probability that the retailer will sell:

(i) all three products. (2 marks)

(ii) product A but not sell product B and not sell product C. (2 marks)

(iii)sell any two of the products but not all three. (4 marks) (d)

(c) Assuming that 200 retailers sell the product exactly as predicted, complete the Venn Diagram the number of retailers selling the different combination of products. (4 marks)