9x doesn't make up much of Button's cold calling range vs Cut Off
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Hands with a Q aren't much of Hero's OOP flop floating range vs villains' stab
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"Villains line is very consistent with 9x"
All of the 9x Button should be calling with are suited and there really aren't many of them, so the 9c on the river significantly reduces the number of value combos with a 9 in it, that's what we mean by it doesn't change the relative hand strength,
"I dont agree that the river doesnt change anything as it changes the relative hand strength of 9x and villains big river bet is consistent with that."
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Button should only be betting small on the river, not to mention his large flop sizing is non-existent.
If you want to play poker this face up you're more than welcome at my table any time but please don't try and dissuade people from the theoretically sound way of approaching the game with comments like
"Villains line is very consistent with 9x" 9x makes up some of his value range, he should also have some bluffs and some thinner value hands with the sizing he's supposed to be using.
You're free to then point out exploits but the "They always have it" mentality isn't going to help anyone