Say I have an event that has a probability of occurring $p$, and there are $n$ independent experiments that take place where the event is possible in the experiment.
1) What is the probability the event happens $m$ times?
2) What is the probability the event happens at least $m$ times?
There are various questions answered here like "Probability of an unlikely event repeated many times" which answer the question, "How likely is it for an event to be repeated consecutively $m$ times?" This is not my question.