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Every morning an office manager provides a box of twelve jelly doughnuts for the staff. Each doughnut has a different flavored filling. Every day you

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Every morning an office manager provides a box of twelve jelly doughnuts for the staff. Each doughnut has a different flavored filling. Every day you randomly pick two doughnuts and you pick from the full box. If you eat two doughnuts every day, what is the probability that you will eat the lemon and the cherry doughnuts for three days in a row?

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