Comment by function_seven

If the mat that my coins are landing on is a strong magnet, I know I can make every single flip land heads. Even when the coin would otherwise land tails, it will instantly flip to align with the strong magnet beneath.

So what if I dial the magnetic field back just a bit? So that only when the coin is oriented flat as it lands will it maintain that orientation in spite of the opposing magnetic forces. But if the coin's orientation is near vertical, then the forces are directed to nudge it "headwards" instead of "tailwards".

Your math applies to weighting the coin. It makes sense in that context. I'm talking about a system of magnetic coin and matched magnetic landing pad.