Making a spreadsheet to help choose between bet/calling a shove or checking.
Looking to see if my math is generally right and if there are any errors.
For visualization purposes (BB to act)
Assumptions made:
Besides the normal assumptions about ranges and equity, we'll also be using "R" for realized equity to help approximate the value of some lines. ie. when we check and get called, there are many different rivers and calculating what we think will happen on each of them is too time consuming so instead we just approximate and say on average we realize X % of our equity
Variables needed:
- equity vs calling range
- equity vs shoving range
- equity vs XB range
- equity vs betting range
- call %
- shove %
- fold %
- XB %
- bet %
- pot
- stack size
- bet size
- R vs calling range
- R vs XB range
- R vs betting range
EV formula for each exit:
(B = Bet, R = Raise, C = Call, X = check, |XD = check down*)
*|XD is where R is used
(BRC):
equity vs shoving range * (pot + stack size + stack size) - ((1 - equity vs shoving range) * stack size)
(BC|XD):
(equity vs calling range * R vs calling range) * (pot + bet size + bet size) - ((1 - (equity vs calling range * R vs calling range) * bet size)
(BF):
pot
(XX|XD):
(equity vs XB range * R vs XB range) * pot - ((1 - (equity vs XB range * R vs XB range) * pot))
(XC|XD):
(equity vs betting range * R vs betting range) * (pot + bet size + bet size) - ((1 - (equity vs betting range * R vs betting range) * (pot + bet size + bet size)
------
Overall EV Bet:
(shove % * BRC EV) + (call % * BC EV) + (fold % * BF EV)
Overall EV Check:
(XB % * XX EV) + (XC % * XC EV)