I'm posting to social like once in a year, but this thread is definitely worth it!
Stumbled across in a search of why the heck A+S is not showing crop quality albeit wiki says opposite.
The reading was entertaining with ever growing curiosity...
...nearly screaming at the end: why everyone is hand-guessing the science never mentioning things like law of large numbers, statistical distribution or RNG implementation?
And here it goes, at the end - it was a catharsis.
Can I compliment to further reading some further watching, as it may be more entertaining to someone.
It's about 1 hour long some what like documentary with a couple interactive pages to see all of the stuff for yourself.
Actually, always suggesting this course to ppl far from the field - who are not yet fascinated with the simplistic powerful magic that our life is driven by.
Of cause - the core of it being Bernoulli trial and Binomial distribution (which is covered by Origin of Markov chains video in this set).
You'll see for yourself that magic exists and understand how they search for extraterrestrial activity at SETI.
Enough of lyrics.
Regarding crops.
As a 20+years professional C++/math/R&D, my best (low-informed) guess will be:
with our crop fields we are struggling against the law of large numbers and pseudorandom generator here.
In computer software the module that generates what is called RNG usually utilizes Pseudorandom number generator capabilities.
Which is not even near to any kind of fair statistical distribution.
There are some other types of generators, e.g. hardware random number generator (true random number generator, TRNG) or may be some software gaussian e.t.c., which can give you such distribution.
But I doubt that's the case here.
To keep it simple and brief - any % displayed in an item tooltip can not be relied on.
But is this the case?
Let's look at our field: each crop harvested is a trial against pseudorandom generator.
If we have a small field - amount of trials is small (population), and it can roll 9 out of 10 -quality with 99% +quality probability displayed.
But the bigger our field is the more trials we have, kicking in the law of large numbers, which will alleviate the pseudorandom generator quirks over time.
I will not state this 100% true, and will not dig any deeper.
But this is an interesting paradox to think of:
two not interconnected systems in any kind of straightforward way I'm trying to describe here, are affecting each other, showing us the true nature of crop harvesting problem!
Smile often!