random thought on putting people on ranges:

when the teacher introduced the model of orbitals to our chemistry class in 10th grade he said:

"If we want to know where the electron is located with 100% certainty we´d have to say it´s all over the universe"

The orbitals are just a decent approximation. Same applies for a players range during a poker hand. If you want 100% certainty, his range is 100% of hands. From there we narrow down his range, where putting him only on one specific hand has the least likelyhood to be correct. You can´t put him on his true range, you´re trying to make an approximimation AND to maximize said approximations likelihood to be true.

does that make sense?