Alice got a nice box of candy for her birthday, but couldn't decide which piece to eat first. She likes everything but jelly filled. According to the box, she has three different coatings (dark, white, or milk chocolate). The centers are either cream, fudge, caramel, or jelly, and all of those except the jelly come plain or with nuts. There are 3 and 1/2 dozen pieces. Assuming all possible combinations are included equally, what are the odds that Alice won't choose a jelly filled candy ?

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Alice got a nice box of candy for her birthday, but couldn't decide which piece to eat first. She likes everything but jelly filled. According to the box, she has three different coatings (dark, white, or milk chocolate). The centers are either cream, fudge, caramel, or jelly, and all of those except the jelly come plain or with nuts. There are 3 and 1/2 dozen pieces. Assuming all possible combinations are included equally, what are the odds that Alice won't choose a jelly filled candy ?