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Suppose each box of a popular brand of cereal contains a pen as a prize. The pens come in four colors: blue, red, green,

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Suppose each box of a popular brand of cereal contains a pen as a prize. The pens come in four colors: blue, red, green, and yellow. Each color of pen is equally likely to appear in any box of cereal. What is the probability of having to buy at least five boxes of cereal to get a blue pen? Show all of the work that leads to your solution.

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