There are 60 snacks, 15 cooks made 4 each. Each cook had to make 1 of each (red snack, yellow snack, orange snack, and blue snack) (The red and yellow snacks must also have vanilla, the orange and blue snacks must have chocolate) You choose 2 snacks uniformly at random from the 60, and then without putting it back, you select a second snack uniformly at random from the remaining 59.

What is the probability that both snacks are from are made by the same cook, or both have the same base color, or one is made with vanilla and one is made with chocolate?