Assume that we are playing a game of Russian roulette (6 chambers). Assume that there is no shuffling after the shot is fired.
I was wondering if you have an advantage in going first?
If so, how big of an advantage?
I was just debating this with friends, and I wouldn't know what probability to use to prove it. I'm thinking binomial distribution or something like that.
If $n=2$, then there's no advantage. Just $50/50$ if the person survives or dies.
If $n=3$, then maybe the other guy has an advantage. The person who goes second should have an advantage.
Or maybe I'm wrong.