I need to determine the probability of an event happening N or more times over M iterations. I know the probability of the event in question happening and its likelihood does not change over time.
For example, say I am rolling a six-sided die and I want to know what is the probability that over the course of 100 rolls I'll roll a 1 or a 2 at least 75 times?
Is there a nice and tidy formula for computing such probabilities?
Thanks