@colmud There are rules of thumb, you don’t need math for getting into the end game (though it makes it really cool, i’m a geek).
For specific items, hover your finger over the item and farm the province that’s listed as the best province.
For Non-specific farming, the highest province are better. Genrally the highest province you can do on auto would work.
For recruit farming province 8 is hard to beat.
Backpacks of course province 5.
The disadvantage of province 5 is the unavailability of the higher ingredients dragon bones and Meteor shards. If you farm 5 hundreds of times as many of us do, you will loose out on those items, whereas farming a higher province would net you much of those as side-catch.
The best farming stage depends on your needs. If you’re looking for certain specific materials, look elsewhere than 8-7. That much is obvious from this thread.
However, there still is a right niche for 8-7 farming where it really stands out. If you’re looking pop monster chests which you’re speeding up with diamonds and farming recruits as well, then 8-7 has the all the great synergy for you right there.
21-9
Click on any item in your inventory and it shows you in which Province you have an increased chance to get it. This information is correct and verified. Use my Monster Guide which shows these items for each Province.
I logged about 300 runs in 5/8. There you have a chance of 1 out of 100 to get only 6 loots (and no hero or troop). The mean value is 10.5 loots per run (without hero/troop count) and 11.3 (including heroes and troops).
I thought this is known. This number represents everything you get from the stage, including recruits.
You get six ingredients, four ascension items, one hero and one troop, eight recruits.
The number next to the chest will be 20.