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While our range certainly is wide, his is not really. I think this is so much easier with AA, I just did a quick stove and this is insane. I didn't include any bluffs, but it's just meant as a comparison. My intuition was to fold even before stoving this, as I don't think he has that many bluffs.
1) QQ vs his range
Board: 9c 9s 2s 5h
Dead:
equity win tie pots won pots tied
Hand 0: 13.306% 11.49% 01.82% 834 132.00 { QQ }
Hand 1: 86.694% 84.88% 01.82% 6162 132.00 { QQ+, 55, 22, AsKs, AsQs, AsJs, A9s, T9s, 98s }
2) AA vs his range
Board: 9c 9s 2s 5h
Dead:
equity win tie pots won pots tied
Hand 0: 54.501% 52.54% 01.96% 3537 132.00 { AA }
Hand 1: 45.499% 43.54% 01.96% 2931 132.00 { QQ+, 55, 22, AsKs, AsQs, AsJs, A9s, T9s, 98s }
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