This is a standard example of why you should wait for your BB to come around. You've decided to post and now you're involved in a big pot w/o reads. And a read is really important here. You need to know if he's the type to over play the A
J
and AK here or if he would fast play his set of 9's. Or if he would even call with 93s in the BB (very fishy).
I don't really agree that the 3
is a good card for us. It really doesn't change our hand much. We were check/raised on the flop and now we're facing an AI on the turn. We were likely beat on the flop ( probably a set of 9's or AK ) and so we are still beat on the turn ( I'd rule out quads completely though since he'd probably bet less in order to keep you in ).
Here's what pokerstove tells us. I gave villian AK, AQ, A
X
down to A7, 99, A3o and only 1 combo of 93s. Note that there are NO COMBOS OF A3s.
Board: 3d Ac 9d 3h
Dead:
equity win tie pots won pots tied
Hand 0: 26.864% 12.55% 14.32% 138 157.50 { AsQd }
Hand 1: 73.136% 58.82% 14.32% 647 157.50 { 9c9h, 9c9s, 9h9s, AcKc, AhKh, AdQd, AhQh, AdJd, AdTd, Ah9h, Ad8d, Ad7d, AdKc, AdKh, AdKs, AhKc, AhKd, AhKs, AdQc, AdQh, AdQs, AhQc, AhQs, Ad3c, Ad3s, Ah3c, Ah3s }