Flop Analysis
Checking range from the big blind is correct — villain has the range advantage on this wet J-high texture, and we don't have the preflop initiative to start betting.
Defend pre, bluff-catch flop, then use the turn ace to raise for value while still calling off versus the shove with our range-top two pair.
Checking range from the big blind is correct — villain has the range advantage on this wet J-high texture, and we don't have the preflop initiative to start betting.
Calling the flop bet with second pair is mandatory — we’re comfortably ahead of a large chunk of HJ’s betting range and the price is very good. **Ranges:** HJ has more strong overpairs and Jx, but also many two overcard hands and ace-highs that barrel, while our A7 sits in the upper-middle of our range here. **Math:** Facing 3 into 5.5 (about 55% pot) we need roughly 26% equity; our second pair with an ace kicker has far more than that against a polarized c-bet range. --- > **Takeaway:** With a solid one-pair hand and good pot odds versus a wide c-betting range, just call and keep weaker hands in rather than turning it into a bluff.
Checking turn after improving to two pair is correct — our range stays protected, and we allow HJ to continue value-betting worse aces and bluffing their misses.
Raising the turn is on-plan with this hand class, but the raise size should either lean toward a clear overbet or a clear massive overbet rather than landing in between. **Ranges:** After the ace, HJ’s betting range is rich in top-pair hands like Ax and strong draws, while we arrive with some very strong two pair like A7 and still retain all the sets from the big blind; raising lets us extract value from top pair and charge draws in a spot where our exact combo sits at the top of our range. **Sizing:** Solver prefers a more polarized sizing (roughly pot to close to 2x pot) when raising here — that presses maximum EV versus strong but dominated value and high-equity draws; our 31BB raise is functionally okay but slightly smaller than the preferred overbet size. --- > **Takeaway:** When turning a hand into a strong value raise on a dynamic turn, commit to a clear polar overbet size instead of a middling raise that leaves money on the table.
Note: Turn raise is the right idea with top-range two pair, but the sizing should be closer to a full overbet; the in-between size slightly under-realizes value versus HJ’s condensed, strong range.
Once we raise turn and face the 3-bet jam, calling off with A7 is correct — we’re high in our value range and the price is too good to fold. **Ranges:** HJ’s turn 3-bet range is very strong (sets, better two pair, some top-pair-plus), but also includes some high-equity semi-bluffs; our two pair is near the top of our continuing range and cannot be folded without over-folding massively. **Math:** Getting around 3.1:1 on the call we need only about 24% equity; even against a value-heavy range with a few bluffs, two pair easily clears that threshold, making call the clear decision. --- > **Takeaway:** After committing with a value raise and getting a strong price versus the shove, we must call off with two pair rather than trying to hero-fold a hand that’s too strong.