Originally Posted by Thamel18
So, let's take a closer look in that A5dd hand, assuming a "clean" runout.
Flop (~$55 in pot after rake, $600 behind) : AQ5r. We'll call it As Qd 5h for the sake of this demonstration. UTG+1 bets $40. We check/raise to $100.
At this point, if we were bluffing, we're risking $100 to win $95. MDF dictates V must defend at least 48.7% of his flop betting range.
Villain's MDF Frequency = (Our Reward) / (Our Risk + Our Reward) = 95/195 = 48.7%
Turn ($255) : 4c. We bet $150. V must defend at least 63.0% of his flop bet/call
River ($555) : 4h. We shove for $350. V must defend 61.3% of the range he's gotten to this point with.
(MDF on Flop) * (MDF on turn) * (MDF on river) = (.487)(.63)(.613) = .188. Villain only has to call down all the way with the top 18.8% of his flop betting range. However you chunk out the flop c/r, turn bet & river shove, it pretty much comes out to this number.
Now we need to give him a PFR range, and decide what he's betting on the flop, combinatorically. My LJ opening range, live & deep, would be something like {Pocket pairs, AJ+, KQ, Suited broadways, A4s+, T9s-65s, K9s-J9s}, give or take a few depending on the table. The opening range isn't so important, other than to give him a flop betting range.
If he bets any Ax or better for value on the flop, his flop value betting range is : AA (1), QQ (3), 55 (1), AQ (6), A5s (1), AK (8), AJ (8), ATs-A6s (10 combos total), for a total of 38 value combinations. He could also use KJs/KTs/JTs as bluffs for 12 bluff combinations, he's probably going to have difficulty building in many bluffs betting flop 4-ways. A4s gets blocked by this board runout.
So he bets flop with 50 combinations, and has to defend a total of 18.8% of those combinations to our c/r flop, barrel turn, shove river line. That's 9.4, rounded up to 10 combinations. AQ & sets are 11 combinations. So, if our opponent is playing solid theoretical MDF, we're literally just completely value owning ourself if we take such a line with A5s, or even with AQ! With 55, it becomes a good value line, since there's 9 combinations of AQ to get value from, versus 3 each of AA/QQ.
This is a good demonstration of the power of top-end / nut advantage in deep stacked situations. You may be able to get a good amount of value with A5 here, but you can't really get too aggressive, unfortunately. Far too many hands beat you, and being too aggressive will isolate you against the very strongest portions of your opponent's range. Let him barrel some bluffs or value bet some AK/AJ for you, they'll likely fold if you c/r turn.