How to calculate binomial probabilitiesSuppose you’re doing something that has probability of success p and probability of failure q = 1 − p. If you repeat what you’re doing m+n times, the probability of m successes and n failures is given by Now suppose m and n are moderately large. The terms (m+n)! and m! n! will be huge, but the terms pm and qn will be tiny. The huge terms might overflow, and the tiny terms might underflow, even tho
