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All-In Adjusted Value (Graph Yellow-line) All-In Adjusted Value (Graph Yellow-line)

05-17-2023 , 09:34 PM
Quick Question:

$25 effective stacks
Pre-flop all-in Hero KK vs Villain A5s

Hero wins.

Assuming this was their first ever hand and their yellow and green lines were at 0. Where would each line be now?

What was the equation used to formulate a solution?

Thanks!
All-In Adjusted Value (Graph Yellow-line) Quote
05-18-2023 , 03:04 AM
green line at 25$, yellow line at roughly 8$ - yes, by winning KK vs A5s you are running over EV

to calculate EV line, you multiply the total pot by your equity, then substract you stack, so (50*0.66)-25
All-In Adjusted Value (Graph Yellow-line) Quote
05-18-2023 , 04:55 AM
Quote:
Originally Posted by Tutejszy
green line at 25$, yellow line at roughly 8$ - yes, by winning KK vs A5s you are running over EV

to calculate EV line, you multiply the total pot by your equity, then substract you stack, so (50*0.66)-25
What I don't understand is, if we're winning 66% of the time, shouldn't our yellow line be 66% of the net-win of $25. So we win 66%*$25= ~17 and lose 33%*$25= ~8.

So green line would be $25, yellow-line would be $17; we over-realize by 33% which results in the green line being $8 over the yellow-line.
All-In Adjusted Value (Graph Yellow-line) Quote
05-18-2023 , 05:23 AM
66% of the time we win $25 -- 25 x .66 = 16
33% of the time we lose $25 -- -25 x .33 = -8
16 - 8 = 8, so our evline will be +$8.

Another way to do this math that might be more intuitive:

66% of the time we end the hand with $50. 33% of the time we end the hand with $0.
$50 x .66 = 33 (+$0 x .33, which is 0 obviously). We started the hand with $25. $33-$25 = +$8.

Last edited by Duncelanas; 05-18-2023 at 05:33 AM.
All-In Adjusted Value (Graph Yellow-line) Quote
05-26-2023 , 02:14 PM
Quote:
Originally Posted by Tutejszy
green line at 25$, yellow line at roughly 8$ - yes, by winning KK vs A5s you are running over EV

to calculate EV line, you multiply the total pot by your equity, then substract you stack, so (50*0.66)-25
You run over EV pretty much any time you win a pot, regardless of the hands involved. There are no spots in hold ‘em analogous to the pat full house vs pat flush spot in five card draw where you have a 100% chance of winning. Since you always have some nonzero chance of losing a hand when you decide to play it, your EV will always be lower than the profit you actually make when you win the pot.
All-In Adjusted Value (Graph Yellow-line) Quote

      
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