[Shandrax]

Let's replace a number > 0.50 with 1 and a number < 0.50 with 0. The reason to do this is that if you redraw with a number higher than 0.50, it is more likely that you will make it worse.

Under this assumption and with "optimal" play for both sides I got an EV of 0!

If player A has 1 he stands (EV: +12.5%) and if he has 0 he redraws (EV: -12.5%). That play has a better expectation than trying to stand/bluff with 0 (overall EV: -25%).

Player B always stands with 1 and always redraws with 0.