GLM 4.5 is from August. Isn’t the real tl;dr that a seven month old open model, which was behind proprietary models at the time, did better than most humans would?
this post was submitted on 11 Mar 2026
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I'm not good at math, so someone please help me.
If a model hallucinates 1% of the time for every question in a chat window that has 100 prompts in it, what is the chance of receiving a hallucination at some point in the chat?
If I understand you correctly: 63.4% odds of having at least one hallucination.
The simple way to calculate the odds of getting at least one error is to calculate the odds of having ZERO, and then inverting that.
If the odds of a single instance being an error is 1%, that means you have a 99% chance of having no errors. If you repeat that 100 times, then it's 99% of 99% of 99%...etc. In other words, 0.99^100 = 0.366. That's the odds of getting zero errors 100 times in a row. The inverse of that is 0.634, or 63.4%.
This is the same way to calculate the odds of N coin flips all coming up heads. It's going to be 0.5^N. So the odds of getting 10 heads in a row is 0.5^10 = ~0.0977%, or 1:1024.
Edit: This is assuming independence of all 100 prompts, which is not generally true in a single chat window, where each prompt follows the last and retains both the previous prompts and answers in its context. As the paper explains, error rate tends to increase with context length. You should generally start a new chat rather than continue in an existing one if the previous context is not highly relevant.
One in 100. However, that is simple a measure of probability, so do not expect that to always be true for every 100 prompts.
For example, if you rolled a 100-sided die 100 times, it's possible to get a one every time. In practice, it would likely be a mix. You might have a session where you get no wrong answers and times when you get several.
The problem is that ignorant people trust these models implicitly, because they sound convincing and authoritative, and many people are not equipped to be able to vet the information being generated (also notice I didn't say "retrieved").
This is pretty bonkers. How TF are they fabricating answers?????
Aka being wrong, but with a fancy name!
When Cletus is wrong because he mixed up a dog and a cat when deacribing their behavior do we call it hallucinating? No.
Accepting concepts like "right" and "wrong" gives those tools way too much credit, basically following the AI narrative of the corporations behind them. They can only be used about the output but not the tool itself.
To be precise:
LLMs can't be right or wrong because the way they work has no link to any reality - it's stochastics, not evaluation. I also don't like the term halluzination for the same reason. It's simply a too high temperature setting jumping into a closeby but unrelated vector set.
Why this is an important distinction: Arguing that an LLM is wrong is arguing on the ground of ChatGPT and the likes: It's then a "oh but wen make them better!" And their marketing departments overjoy.
To take your calculator analogy: like these tools do have floating point errors which are inherent to those tools wrong outputs are a dore part of LLMs.
We can minimize that but then they automatically use part of their function. This limitation is way stronger on LLMs than limiting a calculator to 16 digits after the comma though...
What word would you propose to use instead?
Fabrication?
That's my problem: any single word humanizes the tool in my opinion. Iperhaps something like "stochastic debris" comes close but there's no chance to counter the common force of pop culture, Corp speak a and humanities talent to see humanoid behavior everywhere but each other. :(
We do enjoy pareidolia, don't we?
if you have a lobby you get special names, look at the pharma industry who coined the term "discontinuation syndrome" for a simple "withdrawal"
Because guessing correct answer is more successful than saying nothing.
At 32K, the best model (GLM 4.5) fabricates 1.19% of answers
Not bad, I don't know many people who are 98.81% accurate in their statements.
Calculators are correct 100% of the time.
Calculators are not people, Mr. <1.19%.
That's right! We should be comparing computers to computers. Well, hardware computers, not people computers.
Calculators are not computers, computers contain calculator-like elements but a calculator is no more a computer than a passenger jet is a coffee shop by virtue of having a coffee pot onboard.
Calculators cannot fabricate answers, but nor are they 100% correct due to things like bitflips and square root approximations. They also cannot write text, so the comparison would make even less sense.
LLMs and Humans can fabricate answers in written text so comparing the fabrication rate in written text of an LLM to a human (both entities which generate their answers with neural networks) makes more sense than to compare either to a calculator which neither uses a neural network or produces text.
So 'we' should compare like things and not choose items based on superficial similarities.
What do you even mean? Calculators and LLMs are solving different problems. And there are a lot of calculators and a lot of LLMs. Also, calculator accuracy could be approaching 0% because they all have limited precision and there are infinite numbers. Some of the calculators even can't correctly answer 0.1+0.2, while most LLMs can do that.