Well, shit yus, because Bob has a dominant option to go and get Alice to have a drink if he has an answer or not. If Bob gets the answer Alice will be impressed

Well, shit yus, because Bob has a dominant option to go and get Alice to have a drink if he has an answer or not. If Bob gets the answer Alice will be impressed. If he doesn't Alice like him anyway - so what's the odds? It's undecided what happens next.