You do not get it.

The llm never deterministically picks a shade of red. It's a probability distribution over shades of colors, with certain shades of red being more likely than others. Without fingerprinting, it randomly samples from the distribution using a certain pseudorandom RNG. With fingerprinting, it also selects from the distribution using a pseudorandom RNG. My understanding is that the fingerprinted prng is still a strong RNG. Neither output is more correct than the other.

If a certain token is far more likely than any other, it's usually chosen even in the fingerprinted output.