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

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

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