Originally Posted by 
rpm
				
			 
			i attempted to find out at how wide villain's range has to be (starting at the river range i assigned him, and gradually inserting hands from the turn range in order of strength) and found that if he ever does this with AQ, a snap fold becomes a roughly break-even call. turns out that (i guess) due to the few possible combos of Tx available because you hold one, if villain bets the river with AQ we have a roughly break-even call:
Board: Ts 5c Qd Tc 7s
Dead:  
	equity 	win 	tie 	      pots won 	pots tied	
Hand 0: 	31.579%  	31.58% 	00.00% 	            12 	        0.00   { Td6d }
Hand 1: 	68.421%  	68.42% 	00.00% 	            26 	        0.00   { 55, AQs, ATs, KTs, QTs, JTs, T8s+, AQo, ATo, KTo, QTo, JTo, T8o+ }
obviously it's debatable if he limps AQ, and i still prefer the bet/fold line on river, but it's interesting to see how the blockers involved in this hand can make such a difference between a snap fold (you have 0% equity versus T8+, 55) and a break even call (you have 31% with the addition to that range of just 12 combos between AQo and AQs)