Open Question: Probability Question?

Open Question: Probability Question? First, I will give you the mathematical representation of what I am looking for. Then, I will follow up with the example that prompted the question. There are t possible outcomes, each with an equal probability p. I need the probability that a set of h outcomes will occur at least y times in n attempts. The example is a european roulette wheel. It has the numbers 0 through 36 on it. I can calculate the probability that 3, 4 or 5 will come up 5 times if