This is a discussion on $2 NLHE 6-max: How many streets of value to bet against calling station? within the online poker forums, in the Cash Game Hand Analysis section; Villian Stats (VPIP/PFR/AF): 75/13/1
Pacific Poker - $0.02 NL (6 max) - Holdem - 4 players
SB: 106 BB
BB: 742.5 BB
Hero (CO): 100 BB
BTN: 185.5 BB
Villain was calling bets (up to 3 streets) with complete air earlier so I c-bet with a middle-strength pair. He then raised the turn on a fairly blank card which seemed like a bluff (would he really call a raise with 53?) so I called him down but unfortunately he rivered trips with middle pair...
Against a whale, you can probably go for three streets. It's pretty thin though so defaulting to check/calling turn and/or river is also fine I think.
Even though the turn is a blank, and BB should have barely any raises on this board, facing a raise against a loose passive whale should still be a red flag. Not going as far as to say it's definitely a snap fold, but against this player type, you'll need to be careful.
As played, the river pairing the board on a medium card is definitely better for villain's range so they're allowed to bet more, and for this sizing, you're allowed to fold a decent amount as well. As you already called a turn raise, QQ can very comfortably fold on the river against any player type but especially this one.