c/r the river can be an extremely profitable tool to add to your game. The key is knowing when to do it.
For Value with the initiative
You should c/r the river for value instead of betting when your opponents betting range is wider than his calling range to a bet.
Example:
200nl 100bb stacks
You open 44 in the sb recreational Villain (35/12/2.5) calls in the BB.
Flop![]()
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(6bb pot)
You bet 5bb BB calls
Turn(16bb)
You bet 14bb BB calls
River(44bb)
You have 78bb left
Villain's range is something like an Ace (most likely) missed fd (second most likely), some random pair or a straight. I'm discounting 666 cause I'd expect him to raise the turn a lot with it.
Out of all those hands which ones call a less than psb?
All Ax, maybe 1010 or JJ or 99
Out of all those hands which hands will likely bet if you check?
All flush draws, any floats he has or a random low pair that he decides to bluff with for whatever reason. All the above hands that would call a bet from you or raise you on the river are also betting.
c/r the river here is far superior than betting because Villain will likely bet Ax for value when you check but he may decide his hand is just a bluff catcher if you bet the river and not raise you. He will almost never b/f an ace and he will likely also bet a lot of his air.
By c/r the river here you gain value from a wider range than by betting.