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An upscale department offers its customers free gift wrapping on any day that they spend at least $100\$ 100. The store offers 5 box sizes (XS, S, M, L, XL), 6 wrapping themes (birthday, wedding, baby girl, baby boy, anniversary, and all-occasion), and 3 styles of bow (classic, modern, and jazzy).

What is the probability that any wrapped package will be in a large box?

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The number of packages in a large box is 163=181\cdot6\cdot3=18 since there is 1 outcome for size (large), 6 for wrapping, and 3 for bows. From exercise 11 you know there are 90 total ways to wrap a package so the probability is 1890=15\dfrac{18}{90}=\dfrac{1}{5}

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