On J‑7‑2‑Q‑T rainbow, mostly check with 77; if we bet, a small 33% pot stab is reasonable, but overbetting is the higher-EV bluffing option.
Flop Jh‑7d‑2c rainbow: we have second pair with a weak kicker on a relatively dry board. Solver prefers checking around 65% of the time and mixing in a small c‑bet (about 33% pot) with this combo. Checking keeps the pot under control and avoids getting blown off our equity by a check‑raise.
Turn Qs is a semi‑wet card that improves some of BB’s floats and adds more overcard combos. With 77 we still have a reasonable showdown value and don’t want to face a check‑raise often, so checking again is the main line. If we do bet, a small 33% pot sizing is the preferred size.
River Th on Jh‑7d‑2c‑Qs gives us a river showdown with 77. The board is very connected now (J‑Q‑T), but our hand is still ahead of a lot of BB’s one‑pair and ace‑high holdings. Solver leans toward checking here, but if we do bluff, an overbet (≈125% pot) is the better bluffing option; a small 33% pot bet is also viable but slightly lower EV.