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Alright I'll give it a go:
1. Chips under various scenarios:
- If Hero C/F any non set board he will have 1610 chips
- If Hero shoves and gets called and wins he will have 3620 chips
- If Hero shoves and villain folds he will have 2010 chips
- If Hero shoves, gets called and loses he will bust
* of course when we do flop a set we will get our money in, but villain may not double us up, (ie he will fold, or call and win)
and it happens a relatively small percentage of the time so I won't include the impact it will have
2. Value of these chips calculated as % of the prize pool (remembering that even if Hero has 100% of the chips these are only worth 50% of the prize pool)
- Hero C/F (1610 chips) = 22.41% of prize pool
- Hero shoves and wins (3620 chips) = 29.96% of the prize pool
- Hero shoves and villain folds (2010 chips) = 24.22% of the prize pool
- Hero shoves and loses = 0% of the prize pool
3. Now I'm speculating, but for fun lets say he limps with
66-22,ATs-A2s,K2s+,Q6s+,J6s+,T6s+,96s+,85s+,74s+,64s+,53s+,4 3s,ATo-A2o,K2o+,Q6o+,J6o+,T6o+,96o+,86o+,76o,65o,53o+,43o
which is 710 hands (I compensated for the fact that we hold two queens in my calculations)
and he will call an all in shove with
66-22,ATs-A2s,K9s+,QTs+,JTs,T9s,ATo-A2o,K9o+,Q9o+,JTo,T9o
which is 284 hands
Therefore chance that villain will fold to a push is (710-284)/710= 60%
4. Using pokerstove, hero's QQ is 73.49% against hands that villain will call with :
(ie- 66-22,ATs-A2s,K9s+,QTs+,JTs,T9s,ATo-A2o,K9o+,Q9o+,JTo,T9o)
Hero’s overall share of the prize pool if Hero pushes:
- 60% of the time villain folds and hero's stack is worth 24.22% of the prize pool
- (40% * 73.49%) = 29.4% of the time opp calls and hero winso so hero's stack is worth 29.96% of the prize pool
- (40% * 26.52%) = 10.6% of the time opp calls and hero loses so he busts out
5. So hero's % of the prize pool by pushing is (60% * 24.22%) + (29.4% * 29.96%) + (10.6% * 0) = 23.34%
Hero has 23.34% of the prize pool if he shoves and 22.41% if he folds.
So it is +EV, which proves a500lbgorilla and Spenda are degenerates, and that the devil plays at full ring
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