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A 20-sided die is rolled 50 times. How can I calculate the percent chance that a certain number, n, or a certain set of numbers, N, will be rolled within that 50 rolls?

The exact scenario that inspired the inquiry had to do with texas holdem. I'm trying to figure out, if you have x players that have all played n games, what percentage of them will have had a specific hand at least z times.

Would this be considered a confidence calculation?