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OK, heres the reworked ICM calc. First time I was using chip equity instead of prizepool equity for my calcs. Interestingly with chip equity it was an easy push, but prizepool was very even. I'm not sure how that works.
[edit]Fixed some maths which had minor effect on result turning a very small -EV into a very small +EV.
1) - I'll stick with the ranges I mentioned about. He's raising with 25% of hands and will call with 10%.
2)
a (hero folds) - 9645
b (hero pushes, villian folds) - 10445
c (hero pushes, villian calls, hero wins) - 13500
d (hero pushes, villian calls, hero loses) - 6190
3)
a - 44.29%
b - 45.47%
c - 50%
d - 39.17%
4) Probably my weak point, but using pokerstove gives this as top 25% hands: 66+,A2s+,K6s+,Q8s+,J8s+,T8s+,A7o+,K9o+,QTo+,JTo
and this as top 10% hands: 77+,A9s+,KTs+,QTs+,AJo+,KQo
Which both look reasonable for me based on my reads.
Based on these %s then I put villian at folding 60% of the time. The seems reasonable, he's played fairly ABC so far, so I can see him folding more hands than not here.
5) If he calls, I'm only 40% to win against that range.
6) So:
60% of the time villian folds and hero has 45.47% of equity.
(40% * 40%) = 16% of the time villian calls and hero wins 50% of equity.
(40% * 60%) = 24% of the villian calls and hero loses and is left with 39.17% of equity.
So Hero’s % of the prize pool by pushing is (60% * 45.47%) + (16% * 50%) + (24% * 39.17%) = 44.68%
So hero has 44.68% of prizepool if he pushes, and 44.29% of prizepool if he folds.
So ICM takes a tough position shows me its a tough position :P. Its 0.004% to push, if I get numbers and ranges exactly right.
If anything I would widen villians raising range to include all pocket pairs and some suited connectors as well, so if anything he folds more than estimated here, which may tip the balance.
Overall, given the chance to win the tourney here and now, and whats almost an even decision according to ICM, and likely a coinflip if called, I still push, but theres room to argue thats a mistake.
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