Top pair in a limped, paired pot should mostly bluff‑catch; turning it into a big check‑raise/call on the river massively overplays the hand.
Flop 5c 5s 4c in a limped pot: ranges are very wide and uncapped, but this texture is still slightly better for IP. Out of position, with almost our entire check range intact and no clear nut advantage, checking range is correct. Leading here with Q9 high would be unjustified; we let BU stab their air and draw-heavy hands instead.
Facing 1BB into 2.5BB on 5c 5s 4c, continuing with Q9o is fine. We have two overcards, backdoor club potential via Qc, and the price is excellent (need ~22% equity). Folding would be overly tight against a limp‑range stab that includes pure air and random overcards; raising as a bluff would just isolate us against made hands and strong draws.
Turn Qs gives us top pair on 5c 5s 4c Qs. In theory, this is a very natural check to the in‑position player: our range is still very wide, and our Qx largely wants to bluff‑catch versus their continued stab range. Donk‑betting ~3.8 into 4.5 is a polar line that we don’t really support with a limped, BB range — we represent very strong Qx/5x/boats, but in practice we’ll have a lot of middling hands. With Q9, this big donk is too thin for value and too strong to use as a bluff; it also allows BU to raise their nutted region and put us in a bad spot.
Note: Donk‑betting big with top pair on the turn overplays our hand and pulls us out of a comfortable bluff‑catching line into awkward raise/fold decisions.
When BU clicks it back to 7.6BB over our 3.8BB on 5c 5s 4c Qs, the raise size is small and very polarized: trips/boats/strong Qx for value, plus some bluffs and draws. Given the price (need ~32% equity) and that we’re near the top of our non‑5x range after we’ve bet, calling is defensible — folding Q9 would over‑fold if BU ever raises thinly or with semi‑bluffs. However, this is the consequence of the turn donk: we’ve forced ourselves into bluff‑catching against a polarized range one street earlier than necessary.
River 7h on 5c 5s 4c Qs 7h changes almost nothing; draws mostly brick and full houses/5x remain the same. After calling the turn raise, checking is good — our line is already strong, and we let BU reveal their polarization. Q9 is a classic bluff‑catcher here versus a range that includes boats, 5x, better Qx and busted draws. Leading would be thin at best and would rarely get called by worse.
BU bets 18.1BB into 19.6BB; this is a large, polar sizing in a limped pot. Our Q9 is now squarely in bluff‑catcher territory: we lose to all 5x, boats, and most of BU’s better Qx, and we beat only worse Qx and busted draws. Raising to 37BB turns a medium‑strength hand into a bluff/value hybrid with no clear upside — worse hands are heavily disincentivized to call a raise, and better hands are incentivized to jam. Optimal play is to just call or fold depending on how many bluffs we think BU has; raising for value here is too thin.
Note: River check‑raise with Q9 versus a big polar bet is a major overplay — we fold out worse and isolate ourselves against much stronger value that can now comfortably shove.
After our raise, BU responds with a massive shove over the top in a previously limped pot. That line is almost never bluff‑heavy — the natural composition is full houses, 5x, and top‑end Qx that slow‑played earlier. From a range perspective, our hand is now way too weak to continue: we’ve turned a decent bluff‑catcher into a bluff‑catcher versus an even more polarized, massively strong range. Calling off here with Q9 is torching chips; once BU jams over our raise, we should fold everything except our very strongest region (boats/5x, and maybe the very top Qx if we ever arrive here that way).
Note: Calling the river jam after inducing it with a thin check‑raise is a huge punt — versus that shove range, Q9 is almost never good enough to continue.