[Draft] Scrolls and Probabilities - A Mathematical Approach

That's a nice mathematical lesson and all that, and they seem consistent... so far (although I can't testify that for combinatorics since I've never studied those). Also, what proof do you have that MapleStory's RNG uses the algorithm you described?

I am going out on a limb here and will say that people will probably expect this guide to have a table listing probabilities of getting X scrolls to work on certain equips. For the most part, have a section that applies practical information for MapleStory (I assume this is going to be section 7). Hopefully we'll see good results from this!

PS: I've worked out my own set of tables in my LOLPALLY guide. Since I haven't been able to get anyone to double-check my math completely, wanna compare results?

 Spoiler

First of all, thank you for the input. I really appreciate it

I have no proof that MapleStory's RNG is the same as I've translated to Python. The fact is, I don't even know if they use that algorithm! The thing is, I tried to add this in like all professional books and articles do, through [size="0"][x][/size]-notations. Just before the Python-implementation, there's a [size="0"][3][/size]. And to quote from the guide/document:

[size="0"][3] -> I am not sure whether this function is used or not, but this function is one of the most precise ways in order to generate random numbers, and does not require a lot of computer power when it's called.[/size]

Adding in tables like you stated would seem to be a good idea, so I will include that in appendix(es) when these are created. Possibly during the next update. As for your question whether this may be applied within MapleStory: It will be easier to see when I'm done with this document. Theoretically, you may already use the table written in §6 in order to estimate how many scrolls you need in order to hit 5, 7 or 10 scrolls in a row on an item. While the amount of items needed require a little math, it's not that hard to come up to an easy way of calculating that. This will actually be included within section §8, when I'm done with that part.

As for comparing results, I'll gladly do so. However, it will consume more time than I currently have, so I must leave this for tomorrow. I will leave a post in your guide tomorrow/when I've tested out and compared the results.

Noah