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t.o.
Weeeelll, it's a formal logic joke. Texas is a detail I added because it's important that the barman say some form of "would everyone like a drink" but the way it's normally told, it sounds forced.
The first logician doesn't know if everyone wants a drink. There's only one way he couldn't be sure that the answer is "No". The second logician has more information but still not enough - and there's only one way he couldn't be sure. After hearing the other two answers, the third logician knows with confidence what everybody wants and says "yes".
Edit: see, t.o. got it. Must be accessible.