Patriciana buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 6 sugar cookies and 8 oatmeal cookies.

What is the probability that Patriciana reaches in the bag and randomly selects a sugar cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie?

 

Give your answer as a fraction, or accurate to at least 4 decimal places.