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MATH : Issue while creating 3/5 bet ranges

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Posted by posted in Mid Stakes

MATH : Issue while creating 3/5 bet ranges

hello
i m working on my preflop game and i got a problem,
When i create ranges that cant be exploitable in regard of betsizing it does not take in account opponent range, so finally i feel it s not usefull

exemple
i have a 3bet range 7.2% i want a 5 bet range so that oppoent can not 4bet me and win money

effectiv stacks 100bb
blindes 1.5bb
he opens to 3bb
we 3bet to 9bb
he 4 bets to 23bb

vs a 4 bet our defense will be a 5 bet
minimum defensive frequency vs 4bet :1-A where A=R/(R+1) where R = his bet / pot size
here his bet = 20, pot=13.5 so MDF = 40.3%
so i have to 5bet 40.3% of my 3bet range to avoid being exploited
because we 3bet 7.2% we need to 5bet 2.9% which could be JJ+,AKs,AKo
(if we 3bet 9% we need to 5bet 3.6% which could be TT+,AKs,AKo)

thats seems great BUT
**if he only 4bet AA i will lose money wiht my 5bet range, even if i did math that i have to defend this % !!!
**given different call 5bet ranges we have different equity with different 5 bet ranges and that math does not take it into accoutn !

i m not sure to be clear but if i sum up
i want to work my ranges with math
i dont understand when we speak of GTO we only speak of besizing (minimu defensive frequency) and we dont take range in account
so in my exemple is these ranges really good becasue not exploitable? 3 bet 7.2% / 5 bet 4.3%?

thanks for your help because i took the most basic exemple but i also want to do it with 4bet% and 3 bet %

have a nice day

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