Uhhh, careful with "once more" in the context of infinity. The way to model this would be to come up with a probability distribution for the number of revoluti

Uhhh, careful with "once more" in the context of infinity. The way to model this would be to come up with a probability distribution for the number of revolutions. If the distribution is skewed towards few revolutions, (something like a poisson distribution, say) then it's very likely that the outcomes have probabilities ≠50% due to the discretisation. In practical terms, I guess the person flipping the coin should be required to flip it such that it rotates very fast, which ought to provide a gaussian distribution around a high number of revolutions.