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Question: susan knows how to bake 3 kinds of cake chocolate...

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Susan knows how to bake 3 kinds of cake, chocolate, vanilla, and pineapple. Every year she makes a cake for her brothers birthday. If she makes a chocolate cake, there is an 80% chance that he likes the cake. If she makes a vanilla cake. there is a 70% chance that he likes the cake. If she makes a pineapple cake, there is a 45% chance that he likes the cake. Susan makes a chocolate cake 40% of the time, a vanilla cake 45% of the time, and a pineapple cake 15% of the time. ii. If her brother likes the cake, what is the probability that Susan made a vanilla cake? A chocolate cake? A pineapple cake?

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