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.
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QSMP Valentine's Day Movie Night VODs
Missed today's surprise movie night? Worried about muted VODs? Have no fear! I managed to get all 5 VODs downloaded before they got hit by copyright (thankfully movie night was only about half an hour today). Here are all the VODs in alphabetical order (please keep in mind these are not entire VODs, they only include the Movie Night section of each streamer's VOD)
Badboyhalo – VOD
oiBagi – VOD
FitMC – VOD
Mikethelink – VOD
Philza – VOD
Run into tech issues? Here's how to fix them:
"Video is still being processed. Try again later." — Google Drive is still processing the video! They're all higher quality videos, so like the message says, you might need to check back later since they're still being uploaded.
"Too many users have viewed or downloaded this file recently." — Here's a video tutorial on how to get around this. TLDR: You'll need to copy the files to your drive.
Have any other issues? Reach out to me and I'll see if I can help!
Please feel free to upload these to Archive.org (unfortunately, the website crashes whenever I use it).
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Submitted Prompts #160
I was listening to that song "Space is Cool" that a fan made with Markiplier videos (what can I say, the music is really good).
And it reminded me of Danny, who's also so very in love with space.
And now I'm getting a clear mental picture of Danny full-on GUSHING about Space, in a sort of Outside POV thing.
Like, a Danny who's going to Uni in somewhere like Gotham or Star City, and got into the Astronomy club. And their "recruitment video" is just the cute freshman who adores space and will take any chance he gets to gush about it.
There's a lot of shots zoomed in on his pupils doing the cat thing of going from slits to big pools of black (like a black hole at the center of a galaxy) and his freckles start glowing in constellation patterns.
They go on an outing to the nearest Observatory, make it a sleepover thing, and sleepy Danny stretches and howls like a star, flops onto the nearest classmate and Club Member, and starts purring whenever they pet him.
He may be a meta, but they'll be damned if anyone blabbers to Batman about it.
Cue one Conner Kent coming to Gotham to tour their University, to pick where he wants to go when it's his turn next year, and find himself sitting next to Danny when he goes off on a rant about some deep space scans that caught images of Krypton before the explosion.
When asked about his opinion on the Supers, Danny, who's gotten so used to casual affections being directed towards him in the form of head scratches and hugs (they make Danny purr and light up in all kinds of patterns, so the club members do it as often as they can), pats him on the head and quietly praises Superboy for all the important work he does, and how his cloned little sister has always seen him as a mark that being a clone means nothing in the grand scheme of things, and it's who you are that counts.
Conner goes back to his parents in happy tears and with an invitation to attend Gotham U if he so chooses.
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