I dislike AQ example 1

[shant]

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Bet the river

Given the likely hands of UTG, his most likely hands are AQ, AK, AJ, KQs and you might be able to fold him out of it.

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Betting the river is horrible. You'll never get a better hand to fold. Other A-high hands often won't fold either. You do not really represent any hand that hit this board, so villain will call pretty liberally here. Betting will just cause you to chop a lot and lose the rest of the time. You're also never getting called by a worse hand, obviously.

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Do you bet AK here?