Quote (izParagonzi @ Dec 7 2020 10:43pm)
It isn't mathematics, it is perception:
1-10 Prof point gain per wave (capped @ 10)
9 Monster spawn wave appears = 9 chances out of 10 (Prof Cap) to get 1 prof point
Hence 90% chance to gain 1 prof point.
i told myself i wouldn't argue with you, but you're clearly just wrong here and I doubt i'll get through but i'm bored so lets do it anyway.
The main flaw in this argument is that not all these mobs will just die in 1 hit, you could gain 5 prof points off of the first mob if you happen to be using a 150 vit tank, 5 prof points off of the second and 0 of all the rest of the mobs.
Whilst a 200 int Warlock could just 1 hit all of them and not gain any prof points. Just noticed the maths is actually wrong in my first reply, as I was counting 10 hits, not 9. The core maths was correct of 1-(0.9 to the power of
9) of chance for prof. so just 0.9 to power 9 to not get prof which is 38.7%
To be clear, you can gain all 10 prof points off of 1 single mob, as this still counts as a wave. You have not factored this in at all.
Also, you CANNOT say you have a 90% chance to gain 1 prof point without factoring in the chance of it happening.
Lets arguably say you have 3 die and roll all 3 of them at the same time, what is the chance of at least one of them being a 6?
The normal method of doing this is using a tree diagram:
"IF" the chance of getting a prof point happened to by 1 in 6, then the chance of getting at least 1 prof point from 3 hits is 100%-(chance of not getting a 6, the number at the bottom). So 100% - 57.9% = 42.1% or you could add up all 7 results which resulted in at least one 6.
So there's two reasons why your 90% is absolute garbage.
Do something useful and do 500 hits and count the amount of prof points gained from the 500, I'll do a 500 as well for arguments sake then we have a test sample of 1000 and get a reasonable idea of the chance of getting prof.