Question
Suppose Dan has 3 black hats, 5 blue hats, and 1 gray hat. He also has 6 black rings, 3 blue rings, 4 red rings, 5 gray rings,
and 2 green rings. If he randomly chooses a hat and a ring, what is the probability that the hat is blue and the ring is red?
Give your answer as an exact fraction and reduce the fraction as much as possible.