Dante buys a bag of cookies that contains 8 chocolate chip cookies, 5 peanut butter cookies, 9 sugar cookies and 4 oatmeal cookies.
What is the probability that Dante reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects a sugar cookie?
Give your answer as a fraction, or accurate to at least 4 decimal places.