A9s hand, raise for free showdown?

[sy_or_bust]

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If I raise on the turn, it's with the intention of betting the river.

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Why? All of the terrible hands A9s crushes will fold, and better hands will call. And, rarely, you'll be bluff-raised off the pot.

The turn raise is good when you're ahead because the awful hands may call, hoping to improve, knowing they will not pay off on the river UI. This is pretty close to an extra BB.

Expecting the same to be true on the river is often wishful thinking IMO.

[Piiop]

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Why? All of the terrible hands A9s crushes will fold, and better hands will call

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Are you saying that all worse hands will fold on the river?