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I almost agreed with you for a minute. This is micro stakes and very often aggression means the goods.
We generally assume we're stacking off here, so we're risking about $15 to win a $25 pot ($10 + rest of his stack). 1:1.67 odds, you need to win 38% of the time.
Board: 2h 4s 4h
equity win tie pots won pots tied
Hand 0: 45.191% 45.19% 00.00% 75162 0.00 { QQ }
Hand 1: 54.809% 54.81% 00.00% 91158 0.00 { KK+, AKs, AKo }
Board: 2h 4s 4h
Dead:
equity win tie pots won pots tied
Hand 0: 37.145% 34.63% 02.51% 39087 2835.00 { QQ }
Hand 1: 62.855% 60.34% 02.51% 68103 2835.00 { JJ+ }
So there has to never be any other hand, which you can never assume after 5 hands. If you're really that concerned, raise to $6.50 and fold to his 5bet.
This is all it takes for you to be ahead (let alone getting proper odds)
Board: 2h 4s 4h
Dead:
equity win tie pots won pots tied
Hand 0: 53.131% 51.77% 01.36% 107625 2835.00 { QQ }
Hand 1: 46.869% 45.51% 01.36% 94605 2835.00 { JJ+, AKs, AKo }
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