I am not very well versed in statistics so any clarification would be appreciated. I understand the mathematical derivation of Poisson from Binomial.
I can see just from plotting various Binomial distributions where I keep p constant and increase n, that Binomial will eventually converge to a Poisson.
That fits with the derivation where n approaches infinity, but I don't see why p has to be very small? What is the intuition behind p approaching 0?