Brendan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 9 sugar cookies and 8 oatmeal raisin cookies.

Brendan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 9 sugar cookies and 8 oatmeal raisin cookies. What is the probability that Brendan randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects another chocolate chip cookie? Express your answer as a reduced fraction.

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