Heroic Realm, it recalculates the fight using pseudo-random values every time you trigger the fight. Your overall power becomes rather meaningless as you progress farther and it will be far more about how you reach that power (meaning 2 people could reach the same power but one could do it through exclusively attack stats and the other could reach it through defenses stats instead). So basically, the fights do not look at your power. The game looks at every individual stat that makes up your power instead. Those pseudo-random numbers do affect fights but there is no set number of fights before a win because you could change formation, gear, runes, etc. that would change the outcome. In other words, watch some of your fights in there and see where things are going wrong and try again a few times in case bad luck screwed you over. Fix the problems or come up with a new strategy and then try again.
The tavern seems to keep a list of the tier of heroes that will appear in each shuffle. A new list is generated eventually, idk if it generates the list at specific intervals of time or when it reaches the end of the current one or at some other time. It also seems to include whether you will get a white, blue, purple, or gold hero from it. Someone else may have a different theory on this.


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