20 PLO turn shove w/ TP1K+NF+OE after flop checked through

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20 PLO turn shove w/ TP1K+NF+OE after flop checked through

BN: $20.99
SB: $24.93
BB: $20
UTG: $7.51
HJ: $25.36
CO: $38.56 (Hero)
Preflop ($0.30) (6 Players)
Hero was dealt 8 A T 9
UTG folds, HJ raises to $0.70, Hero raises to $2.40, BN folds, SB folds, BB calls $2.20, HJ calls $1.70
40%-$4B13
Flop ($7.30) 7 4 3 (3 Players)
BB checks, HJ checks, Hero checks
Turn ($7.30) 8 (3 Players)
BB checks, HJ bets $5.20, Hero raises to $22.90, BB folds, HJ raises to $17.76, Hero calls $0.06
Donk bet flop total 23%

CASE 1. Has a leading range

1.1 polarized leading range:

strong part 65+!FD 7.6%
weak part FD+2PR<<+!NFD 16%

which gives turn range

*-(65+!FD, FD+2PR<<+!NFD)

turn betting range:

SET>, FD+OE>, T2P, 2PR+FD, 2PR+OE> 15% eq. 63

turn stackoff range:

SET>, 2PR+(FD, OE>), NFD+OE> 78% eq. 66

ev = 0.78*0.66-23+0.78*0.33*(23+7.3)+0.22*12.5 = -11.8 + 7.8 + 2.8 = -$1.2 = -6bb

Conclusion 1: When he has a polarized leading range on the flop turn shove has ev = -6bb

1.2 linear leading range

ST=, 2PR+FD, NFD

turn betting range:

SET>, FD+OE>, T2P, 2PR+FD, 2PR+OE> 8% eq. 61

turn stackoff range:

SET>, 2PR+(FD, OE>), NFD+OE> 48% eq. 68

ev = 0.48*0.68*(-$23)+0.48*0.32*($30.3)+0.52*($12.5) = -7.5 + 4.6 + 6.5 = 3.6 = 18bb

Conclusion 2: When he has linear leading range on the flop turn shove has ev = 18bb

CASE 2. No flop leading range

turn betting range:

SET>, FD+OE>, T2P, 2PR+FD, 2PR+OE> 20 eq. 61

turn stackoff range:

SET>, 2PR+(FD, OE>), NFD+OE> 82% eq. 62

ev = 0.82*0.62*(-$23) + 0.82*0.38*($30.3)+0.18*($12.5) = -11.7 + 9.4 + 2.2 = -0.1 = -0.5bb

Conclusion 3: When he has no leading range on the flop turn shove has 0 EV.

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