Post by weaslemd on Jun 11, 2014 10:45:41 GMT -6
Hero enhancement is a very straight forward event where all gains from hero enhancement are doubled. This is a very useful event for enhancing your heros and is even more powerful than the common notion that it is like a half off sale. Since only gains are doubled and losses remain the same, the average expected gain from each enhancement goes from 0 to +10.28 during the event which is a much more powerful than common sense would estimate. I would suggest holding off on mass enhancement until this event starts.
For those interested, the math works as follows:
Normal
41 possible outcomes ranging form -20 to +20 for attack and defence. Each outcome has a likelihood of 1/41 thus adding everything together and dividing by 41 gives you an expected gain of 0 (this isn't entirely true as players generally tend to not apply poor enhancement rolls).
Event
41 possible outcomes rangind from -20 to 0 and then +2, +4, +8, ..., +40 with each outcome having the likelihood of 1/41. Calculating the sum of the potential outcomes gives an expected gain of +5.12 for both attack and defense, hence +10.24 together.
For those interested, the math works as follows:
Normal
41 possible outcomes ranging form -20 to +20 for attack and defence. Each outcome has a likelihood of 1/41 thus adding everything together and dividing by 41 gives you an expected gain of 0 (this isn't entirely true as players generally tend to not apply poor enhancement rolls).
Event
41 possible outcomes rangind from -20 to 0 and then +2, +4, +8, ..., +40 with each outcome having the likelihood of 1/41. Calculating the sum of the potential outcomes gives an expected gain of +5.12 for both attack and defense, hence +10.24 together.
