Suppose that I roll a six sided die $x$ times, say 10, what is the probability that I will get a particular side/number, say 6, a specific number of times? Is there a general formula to compute this?
For example, what is the probability that I will:
- Get exactly 1 time six
- Get exactly 2 times six
- Get exactly 3 times six
- $\dots$
- Get exactly 10 times six