Mr. Calloway is an algebra teacher. Every class period he draws a piece of paper out of a hat without looking to determine the number of homework problems he will assign. Each different color of paper represents a different number of homework problems. The hat contains 2 blue, 6 red, 10 yellow, and 7 purple pieces of paper. What is the probability that Mr. Calloway draws a purple piece of paper during the first class period and a blue piece of paper during the second class period if he replaces all pieces of paper before each drawing?