Again, I agree with you both to an extent. If it is truly 1-on-1, Yoda has the advantage with speed (but not by as much as most would think). Dumbledore would bring an array of magical talents that would blow us away.
Dumbledore is a prodigy and he does have extremely fast reflexes for his age- remember, don't be fooled by the "movie Dumbledore". The books are what's canon for Harry Potter, and if you've read them you'll know that his reflexes are rivaled only by Voldemort...yet neither are "Jedi reflexes".
I'm rambling but my point was, why wouldn't Dumbledore just conjure all sorts of things and weapons out of thin air? Why wouldn't he inject life into his surroundings and have them come at Yoda from all angles? I mean, there are soooo many things that Dumbledore could do here to help himself!