Posts tagged: probability

I recently got introduced to this game called Can't Stop and it got me thinking about probabilities. You know how it is - you start playing a dice game and suddenly you're knee-deep in combinatorics...

Since first time I that have encountered a statistical "paradox" I have this feeling that my explanations for what is the "right" answer might not be correct and it might be the case that I'm just...

My friend asked me this: Put balls into $n$ buckets uniformly at random and count $h$ the number of buckets with at least one ball in them. What is the expected value of number of balls $k$?