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Austin buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies,...

Austin buys a bag of cookies that contains 4 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 8 oatmeal cookies.

What is the probability that Austin reaches in the bag and randomly selects a chocolate chip 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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