Quote:
Originally Posted by Garick
Sure, but sun-running doesn't just mean getting smacked in the face by the deck. It also means your correct decisions working out above expectation. For example, if you make a good bluff in a position where you estimate that it will get folds 80% of the time, and it does, that's not running at EV, it's running 20% over EV. If you get four of those through in a row, each of them seems exactly like the most likely outcome, so you think you are just playing well, not running well. The math tells you, though that you only had a 41% chance to get all four through, so you actually are running hot.
Bolded isn’t correct. Each trial is independent of one another so the chances of getting each through is 80% regardless of prior outcomes (assuming the players are acting rationally and not getting tilted and calling lighter, which would actually change the % the bluff got through and make it much more complicated to calculate)
It’s similar to if you look at the previous hit board at roulette and see the last 5 numbers were black numbers. The chance a black number comes next is still roughly 50%, not 3.125% (0.5^5)
The numbers compound if you were to say something like “I’m betting on black 5 times in a row, what are my chances I win them all”, then the result is 3.125% because it ties all the outcomes of each trial to the others.
Though I agree with the general sentiment that running hot isn’t always just cooler people or continually making hands, getting folds in spots where we want folds is just as important, maybe more important, than coolering people. Never let a winning image go to waste.