Aden buys a bag of cookies that contains 5 chocolate chip cookies, 4 peanut butter cookies, 4 sugar cookies and 5 oatmeal cookies. What is the probability that Aden reaches in the bag and randomly selects a sugar cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Give your answer as a fraction, or accurate to at least 4 decimal places.

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