#if you saw my last post no you didnt

[locusfandomtime]

Doing the maths: Grian's failure at getting a mending book

lots of talk about maths and probabilities below the cut! but there's a graph and simple explanation at the end if you want to get the gist of it and are bad at maths.

(I am still young and learning maths, critique/advice always welcomed)

What are the odds of getting a mending book in Minecraft?

(I am assuming Grian has been doing all his fishing with Luck of the Sea 3)

The probability of a mending book is actually a bit annoying to estimate. The Minecraft Wiki lists fishing up an enchanted book as 1.9% chance. This is for ANY enchanted book. The Minecraft wiki talks about how the chance of an enchantment being selected is calculated. Mending has a weight of 2. Using the table, mending has a probability of 2/135.

However, Grian is looking for any book with mending, not just a pure mending book. Additional enchantments are calculated in a different way, involving RNG, which means it won't be as easy to model. Due to this reason, I'll just be using the odds for a pure mending book throughout.

TLDR: a mending book has a 0.028..% chance (2/135*0.019*100)

Grian's Data

According to this screenshot, Grian has used a fishing rod 5679 times. This number may not be fully accurate, as it includes the times he's fished other players, rather than just fished for items, but it is a good estimate.

To help visualise this data, with a median waiting time between catches of 17.5 seconds, Grian has spent over 20 hours fishing so far! He may have a problem.

Is this statistically significant?

Hypothesis testing (p-value approach):

H0: p = 19/67500 (the null hypothesis - he has no mending books because of chance)

H1: p < 19/67500 (the alternate hypothesis - he has no mending books due to different odds)

5679 trials, 0 mending books

X ~ B(5679, 19/67500) (binomial distribution, 5679 tries with a probability of a mending book being 19/67500, where X is the number of mending books)

p(X=0) (what is the probability the number of mending books being 0)

p = 0.2021473392

Now, the point at which data becomes significant is subjective. For instance, you *could* get a million heads in a row flipping a coin, it's not impossible, but at a certain point, you can begin to say "okay there's something not normal about this". For this approach, the closer the p-value is to 0, the more evidence there is against the null hypothesis . The p-value here is far above a significance level of 0.01, or 0.05, or 0.1. There isn't a clear line between significant/non-significant, but this is answer is quite a bit far from 0

With this, I cannot reject the null hypothesis.

Personal conclusion: this is not statistically significant, Grian is just unlucky.

Are other values statistically significant?

Gem's proposed 9000: results in a p-value of 0.079... more significant than Grian's number but I don't imagine Mojang would be too concerned. As said though, it's all subjective.

I am bad at maths, what does all this mean?

Here is a graph, showing what number of mending books you might have after 5679 tries. The height of the bar represents the probability of getting that amount. The numbers at the top are the (rounded) numbers I used in my calculation

The pink column is 0 mending books - like what Grian has! As you can see, it is less likely than getting 1 or 2 books, but not too uncommon to happen.

End conclusion: Grian has bad luck. Like, not as hilariously bad as he thinks, but still bad. If he keeps going, chances are he will get a mending book, but I think he should probably stop fishing because at this point he has a problem.

[kezzieke]

found this post on my drafts from like 2 days after the game released bc i forgot to post it and it aged like shit bc everything i see in the tag now is just jeff fanart. not that im complaining

[mgmk-daily]

FUCK WRONG BLOG

[rambles-about-minecraft-ocs]

one of my favorite things about zedaph is that on a server full of people that find strange and oft-overlooked minecraft mechanics or rare events and then see just how far they can push them in the name of spectacle or efficiency or world-breaking, zed is over here finding these mechanics in order to do the weirdest things he can think of in as entertaining a manner as possible

like i 100% have faith in zedaph's theoretical ability to be just as efficient or spectacular or world-breaking. if he wanted to do that stuff, i trust that he absolutely could. but thats so far from being his priority. instead, hes going to spend around a week of irl time focused entirely on eventually having the good luck to spawn in something insanely rare so that he can convert it into something even rarer, the result of which being something that 99% of the server reacts with complete and utter shock that it even exists in the first place, just because its zany and funny and he wanted to. and i love that

[fluffyartbl0g]

The one piece reread only makes the hardest moments hit even harder,,,, even when you’re rereading it poorly in portugese

Or AKA, i found out today that HINATA SHOYO reads one piece and I haven’t recovered since

[skapediem]

hey the computer program created from my likeness saw you from across the bar and we really hate your vibe. we're gonna run an exposé on you to put an end to your unethical business practices

[deprivedmusicaljunkie]

here’s a short snippet of me playing a very simple arrangement of wb! if you heard me play any wrong notes or key changes, no you didn’t.

please be niceys 💙🩵💙🩵💙🩵💙🩵

[badsalmonella]

Made a design for the Lady of the Lake cuz she was a minor character in my fanfic but then got attached to her so here’s a bunch of doodles.

[love-3-crimes]

HE'S IN A CAAAGGGEEE

[peteytheparrot]

Let her cook 😭🙏

Webtoons - Comicfury

[luck-of-the-drawings]

"I think this is the most inhuman; and human, that I've ever felt.." MUCH CAN HAPPEN IN A YEAR. IN FIVE YEARS. A DECADE. imagine how much can happen in a century. just ONE (1). How will you grow? what phases do you find? even in 5 years, you will find patterns.

[wetterfishguts]

i havent actually been up to much other than drawing ocs and a secret project but umm this is old i really need to draw something new..... i might knuckle down and do requests

[waitineedaname]

we know binghe and sqq still consider binghe to be a disciple of qing jing, but is that recognized by anyone else? I imagine it's pretty awkward with anyone who was around for, y'know, the entirety of books two and three, but ning yingying still tells him to call her shijie so that's gotta count for something. basically I'm asking this because I'm wondering if new disciples were brought onto the peak, whether they'd call him shixiong

[spicykellybear]

Nami for the One Piece art collab on Twitter!! 🍊

[dykedvonte]

I hate the stretch lines in the front of Curly's uniform because that means the devs rushed to make a model in like a month or so and thought "They gotta at least know he has huge knockers, gotta know he's got back pain." Cause like what is the thematic importance of his tits having overhang?

What responsibility is that representing? Breast reduction? It shows an inherent greed in his character due to the excess and heshouldletmeholdone and that he clearly is blinded cause if he tries to look down his damn ladder all he's seeing is his own cleavage.

[paradimeart]

figuring out faces