If I'm using a simulator for Bernoulli distributions, and I'm doing 10 trials with a probability of 0.25, assuming it's completely random, what are the chances that I'm going to get the same exact result as someone else that repeats the exact same experiment?
I've been at a loss at to how to answer this because not every X value has the same likelihood of happening so multiplying probabilities doesn't seem feasible. Adding 10 + 10 trials doesn't seem to work either. I could try to add both distributions but I don't know if that will help either. I looked up the addition of binomial distributions and found this: https://en.m.wikipedia.org/wiki/Poisson_binomial_distribution
but that just leaves me more confused than ever.