<quote>And I have no idea what that means.<\quote> Basically, you're chance of losing any one game is 1/2 at it's simplest. Your chance of losing 2 games is 1/4, [WW, WL, LW, LL are all the pairs, one of the four is two loses or mathematically chance of losing game one (1/2) multiplied by chance of losing game two(1/2)=(1/2)^2=1/4] on and on, so the chance of losing some number, n, straight games is (1/2)^n. The average length of a losing streak is the length weighted (multiplied) by its chance of happening, so an 1 game streak is 1*(1/2), two game 2*(1/4), etc. To finish finding the average you add up the weighted chance of each (1*(1/2)+2*(1/4)+3*(1/8)+...) to find a total of each length of streak, which eventually approaches effectively 2.