There are $D$ different kinds of candy, and $C$ children come to buy them. Each child purchases one package of candy. What is the probability that a given variety of candy is chosen by no child?
I am thinking of this as, there are $k$ locations(Candies) in which $n$ items(Children) are being hashed to. What is the probability that one of the locations have nothing hashed to it?
I also already know that the expected number of kinds of candy chosen by no child is $D(1-(1/D))^C$
Any help would be greatly appreciated!