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Kacy, Sydney, and Taymour want to bake a cake. They are choosing among chocolate cake ( ), vanilla cake ( ), and red velvet cake

Kacy, Sydney, and Taymour want to bake a cake. They are choosing among chocolate cake ( ), vanilla cake ( ), and red velvet cake ( ). The following table shows each person's preferences for cake flavors. The three friends decide to vote on the kind of cake they want and agree to bake the kind that wins by majority vote. Kacy Sydney Taymour First choice chocolate cake red velvet cake vanilla cake Second choice red velvet cake vanilla cake chocolate cake Third choice vanilla cake chocolate cake red velvet cake Suppose Kacy, Sydney, and Taymour first vote on whether to bake a red velvet cake or a chocolate cake, and then they vote between vanilla cake and the winner from the previous vote. Between red velvet cake and chocolate cake, the majority will vote for , and between this winner and vanilla cake, the majority will vote for

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