mathematically view of loosing streaks

Dakiras: I think what it really boils down to is that one side wins, the other loses (sometimes both, because Draws happen) so... you should be calculating not the chance that you win, but the chance that MM puts you on the other team. I don't think reducing the numbers down to a percentile or ratio is really going to help, because when you hit that Random Battle button the ratio becomes 1:1. You're either on the side that wins, or you're not.   Draws are, of course, a bit of a weird circumstance but they mean that both teams have lost and no-one gets a cookie.   Still trying to understand the purpose of calculating probability of a win/loss streak, but maybe I'm missing something.