Quote:
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Originally Posted by Jason75
Prize Payouts (approximate):
1st - $1 Million
2nd - $500 K
3rd - $250 K
Blinds $80,000/$160,000 Ante $15,000
Chip Counts (Approximate)
CL - SB w/ $5.6 Million
Kido - BB w/ $1.6 Million
SS - Button w/ $150,000
PF - David thinks about it, then folds. Carlos looks down at his hand and goes all in.
Kido looks down at his hand . . . TT.
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Lets examine the EV of $ winnings (for Kido) based on this hand
and the next hand. We can look at this as 2 groups with 5 total outcomes:
A. FOLD (Outcomes 1-3)
1) Fold hand 1, win hand 2
2) Fold hand 1, CL wins hand 2
3) Fold hand 1, SS wins hand 2
B. CALL (Outcomes 4-5)
1) Lose hand, out of tournament
2) Win hand
Assumptions:
On hand number 2, it is assumed that the hand will be by all 3 players
On hand number 2, it is assumed that Kido will not add more than the BB to the pot (i.e. most likely the pot gets checked down to river to maximise the chance that SS will bust)
$EV calculations
1) (from outcome 1 above) Kido folds hand 1 and wins hand 2
Chip count: CL = 5.4mil; Kido = 1.9mil; SS = finished 3rd
Let's say down 3:1 in chips HU, Kido will win 1st 25% of the time and 2nd 75%
.25*1mil + .75*500k = 625k
EV winnings = $625k
2) Kido folds hand 1; CL wins hand 2
Chip count: CL = 6.1mil; Kido = 1.2mil; SS = finished 3rd
Let's say down 5:1 in chips HU, Kido will win 1st 20% of the time and 2nd 80%
.2*1mil + .8*500k = $600k
EV winnings = $600k
3) Kido folds hand 1; SS wins hand 2
Chip count: CL = 5.4; Kido = 1.2; SS = 500k
Let's say with these stacks, Kido wins tourney 15%; 2nd 70%; 3rd 20%
.15*1mil + .7*500k + .2*250k = $550k
EV winnings = $550k
Take outcomes 1-3 and find the total tournament $ EV:
.33*625k + .33*600k + .33*550k = 590k (rounded)
TOTAL ESTIMATED PAYOUT FOR FOLDING HAND 1 IS $590K
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4) Kido calls hand #1 and loses
EV winnings = $250k
5) Kido calls hand #1 and wins
Chip count: CL = 4.0; Kido = 3.2; SS = 150k
Let's say with these stacks, Kido wins tourney 45%; 2nd 50%; 3rd 5%
.45*1mil + .5*500k + .05*250k = 710k (rounded)
EV winnings = $710k
The question becomes: What % of the time does Kido need to win hand #1 to have an Tournament $ EV > $590k (the EV of folding)
x+y=1
710x + 250y = 590
blah, blah, blah......
x=74%
Win% must be 74% on hand number 1 to be of Tournament $ EV equal to the $ EV of folding.
The Hand Equity (HE) of TT vs. any random hand is 75.1%
Therefore, if there is any chance that CL would make this move with any standard above "any hand", then definitely fold TT
HE of AA vs. a random hand is 85%
AA is playable.
AA is foldable if you put CL on a range of hands that bring HE of AA down to 74%.
To those of you who made it this far in the post: thanks and feedback is welcome.