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Scarlett buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 9 oatmeal raisin cookies.

Scarlett buys a bag of cookies that contains 5 chocolate chip cookies, 6 peanut butter cookies, 7 sugar cookies and 9 oatmeal raisin cookies. What is the probability that Scarlett randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? Express your answer as a reduced fraction.

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