In a small town, there are three bakeries. Each of the bakeries bakes twelve cakes per...
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In a small town, there are three bakeries. Each of the bakeries bakes twelve cakes per day. Bakery 1 has two different types of cake, bakery 2 three different types, and bakery 3 four different types. Every bakery bakes equal amounts of cakes of each type. You randomly walk into one of the bakeries, and then randomly buy two cakes. (a) What is the probability that you will buy two cakes of the same type? (b) Suppose you have bought two different types of cake. Given this, what is the probability that you went to bakery 2? In a small town, there are three bakeries. Each of the bakeries bakes twelve cakes per day. Bakery 1 has two different types of cake, bakery 2 three different types, and bakery 3 four different types. Every bakery bakes equal amounts of cakes of each type. You randomly walk into one of the bakeries, and then randomly buy two cakes. (a) What is the probability that you will buy two cakes of the same type? (b) Suppose you have bought two different types of cake. Given this, what is the probability that you went to bakery 2?
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