I certainly agree that putting your opp on a range is a critically important skill and always an important mental exercise for the serious poker player. However, in this case I wonder if anymore than a rudimentary analysis would change the recommendations on how to play the hand.
If we KNEW that our opp had a set (set of 9s seems especially likely), it might impact our play. I would imagine that we would all agree that we should just call on the flop in that case. True ?
However, once we make the rudimentary analysis that our opps range include some significant portion of non-set hands -- that might be all we need to ship in the rest of our stack hoping to capture what small fold equity might be available.
Also when it comes to range analysis I wonder if it is useful to compare one's at the table analysis with some more careful evaluations (like a stove analysis). My - quickie at the table analysis breaks the range into sets and other hands. If I blend sets with pair hands I get about 1.5 and a bit to one. A bit worse than the stove analysis. So my quick range analysis might need some work.
FWIW, if I had to pick just one hand, I'd pick a set of 9s.
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