See my post. As a mathematician, maybe you're missing some interesting theory of why if the opponent has an average of 0.625 and you got 0.55 you should redraw.

See my post. As a mathematician, maybe you're missing some interesting theory of why if the opponent has an average of 0.625 and you got 0.55 you should redraw. However, as a programmer, the first thing you're missing is running a quick Monte Carlo simulation and seeing whether your idea actually wins :-)