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My first reply was pretty useless, so I went and did something more useful. I put the top 65% of hands into Pokerstove, then I removed any hands that I thought would have folded before the river, and finally I removed any hands that I thought wouldn't call the river. I left the river calling range fairly wide, though. Here's the results:
Code:
Board: 9h 4c 7s 7c 5c
Dead:
equity win tie pots won pots tied
Hand 0: 56.897% 56.70% 00.19% 148 0.50 { KcKs }
Hand 1: 43.103% 42.91% 00.19% 112 0.50 { 77+, 55-44, AcQc, AcJc, AcTc, A9s, A7s, K9s+, K7s, Q9s+, Q7s, J9s+, Jc8c, J7s, T9s, Tc8c, T7s, 94s+, 86s+, 74s+, 63s, A9o, A7o, KTo-K9o, K7o, Q9o+, Q7o, J9o+, J7o, T9o, T7o, 97o+, 86o+, 76o }
You only have a 13.8% edge, meaning that you'd like him to put no more than $9 more into the pot. If you're confident his range is this wide, you can raise it to $14.50. Since he won't 3bet this is fine, but it seems like in most cases you might as well just flat call. I guess if we're raising this small, he might also call with some random pairs of 4s or 5s, so maybe you could make it 15-18. Making it 35+ as suggested seems to be -EV though.
If there's anything I've left out of his range that he will call you with or if some other part of my reasoning is screwed up, I'd love to hear it.
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