I think what we’re missing is information gained by understanding the letter location. So if S is in 90% of words, well you also reveal whether or not it’s in

I think what we’re missing is information gained by understanding the letter location. So if S is in 90% of words, well you also reveal whether or not it’s in the nth location. Whereas an incorrect guess gives you no location information. So, you’d want to guess the word that equally splits the word pool given both the letter and letter location (or just letter in a given location).