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

What is the probability that Lucas 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.