This concept as set out in the game example is just B unk S ee, did not really put what you expected
So what if the odds become 50:50 by showing one of the wrong doors? That is not going to change which door is the 'one', even if you were "more likely to be wrong on the first pick". Picking the same one again still has 50% chance, but the act of choosing has some mysterious power over the hidden result? B uffoonery .