Against a top 22% range (296 hands) excluding AA-QQ we are in bad shape. The reason value betting overpairs is so profitable is because
we expect to be called by worse quite often.
Betting A
7
here is problematic and counter-intuitive because we are going to be called by an extremely wide range a high percentage of the time on this flop. We can't bet scare cards because they make up a good portion of villain's flop calling ranges (flush draws), nor are our hole cards clean outs because we are often still behind made hands or outkicked on the Ace. Lets look at a reasonable preflop calling range.
JJ-22,A2s+,KTs+,Q9s+,J9s+,T8s+,97s+,86s+,75s+,65s,ATo +,KTo+,QTo+,JTo
Against this range as a whole we have ~26% equity and are notably behind villains' ranges.
Of those 296 hands, 60 hands (20%) are massively ahead as an 80/20 favorite and both villains are equally likely to contain them.
Hands we are currently behind: 60 combos comprised of 39 hole card pairs, 9 sets, 4 top pair +
's, 8 top pair
/
's
Another 9 hands (3%) are 75/25 favorites
Hands that have great equity: 9 nut flush combos, 5 of which out-kick our Ace
And finally, the non-nut flush draws + OESD comprise another 12 combos (4%) and are a 53/47 favorite
Hands that are small favorites: 8 two-over + flush draw combos + 4 OESD combos
Add it all up and we are a massive underdog to 27% of villain's preflop calling range which both are equally likely to have. And I'm not even going to bother with the variety of hands that we are slightly >50% against but will call us "just because" since we bet 1/2 PSB on a board that completely misses our range. Good luck navigating that mine field.
If you are advocating a bet here please don't consider it anything more than an ill advised bluff. If it gets through, congrats you bluffed into the bottom of villain's range, but there is virtually nothing to like about the prospects for this hand. And that is also not even considering how often we can be semi-bluff raised off the "best hand" by something like K
Q
or A
6
which we are nearly flipping with.
Check/fold flop and move on