Problem
In sporting events, good teams tend to come back and win. But is this because they know how to win, or just because after a long-enough game the better team will generally prevail? Experiment with a random coin flip model, where the better team has a probability of p > 0.5 of outplaying the other over a single period. For games of n periods, how often does the better team win, and how often does it come from behind, for a given probability p? How does this compare to statistics from real sports?