Foodmart customers regularly buy at least one of the following products: milk, chicken, or apples. 60% of shoppers buy milk, 50% buy chicken, and 35% buy apples. If 10% of the customers buy all 3 products, what percentage of Foodmart customers purchase exactly 2 of the products listed above?
I am not convinced with the explanation given. There was also an alternative explanation, which wasn't very clear either -
Even though this is not a typical 2-group problem with overlapping members, we can still apply the group formula: Total = G1 + G2 + N - B, where G1, G2 are group 1 and group 2, N is neither, and B is both. Because we have more than 2 groups, we need to adjust the formula to reflect customers purchasing 3 products and therefore being members of 3 groups, and being counted as 3 distinct customers. The formula needs to be modified as follows: Total = G1 + G2 + G3 + N - B - T*(3-1) , where T is members of three groups and B is members of only two groups.
There is no neither group because all customers purchase at least one product.
The correct answer is D.
I suspect the formula for three overlapping sets used in the question. Can someone confirm it.
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