Computers follow instructions. That's literally their whole thing, they execute code line by line in exact order. Which creates a strange problem when you need something random because computers don't really do random naturally. They're built for precision and repeatability, the opposite of randomness. But tons of applications need random numbers so programmers had to figure something out.
Pseudo-Random Numbers Are Fake But Useful
Most random numbers from computers aren't random at all. They're pseudo-random, looks random but there's actually a pattern underneath. The computer takes a starting number called a seed and runs it through math operations to spit out a sequence that seems unrelated. However, that doesn't mean they are not useful. Indeed, they see applications in multiple industries like video gaming, jury selection, military drafts, and games of chance.
Here's the weird part - use the same seed twice and you get identical results. Same exact sequence of "random" numbers. Sounds like a bug but it's actually helpful sometimes for testing software or when you need to reproduce the same simulation. Tools like a random number picker use these algorithms to generate numbers fast when people need random selections for games or decisions or whatever they're doing.
Linear congruential generators do this with basic math. Multiplication and modulus operations, repeat them over and over. The sequence repeats eventually which proves it's fake randomness, but that happens so far out in the number sequence that most people never hit it.
Mersenne Twister is another one that programmers use a lot. Better quality pseudo-random numbers with a way longer period before it loops back. Python uses it by default for the random functions, works well enough for most stuff that doesn't need serious security.
True Random Numbers Need Physical Processes
Actual randomness means looking outside the computer at physical things that can't be predicted. Radioactive decay is truly random, nobody can calculate exactly when a specific atom decays. Some systems stick Geiger counters near radioactive material and use those decay events to generate random numbers.
Atmospheric noise works too, radio waves bouncing around create unpredictable static. You can measure that and turn it into random data. Temperature variations work, electrical noise in circuits works. Someone even used lava lamps once which sounds ridiculous but the wax blobs moving around are genuinely unpredictable.
Modern computers sometimes have hardware random number generators built in that measure thermal noise or quantum effects in the processor. These give true randomness without extra devices though they're slower than the pseudo-random algorithms.
Why Different Methods Matter for Different Uses
Video games don't need true randomness honestly. Pseudo-random works fine for loot drops or where enemies spawn. Speed matters way more, algorithms can pump out millions of numbers per second.
Cryptography though, that's different. Encryption keys need to be actually unpredictable. Pseudo-random isn't secure enough because if someone figures out the seed or algorithm they can reproduce your sequence and break the encryption. True random number generators get used for passwords and encryption keys, anything where predictability would be a problem.
Scientific simulations use pseudo-random because reproducibility matters for research. You want to run the same simulation twice and get identical results to verify your findings. Monte Carlo simulations rely heavily on random numbers for modeling complex systems, quality of randomness affects accuracy but it doesn't need to be true random.
Conclusion
Most people using random number generators don't think about any of this. Click a button, get a number, doesn't really matter what's happening behind the scenes. Picking lottery numbers or choosing teams for a game, a random number picker just provides what people need without them understanding algorithms or quantum mechanics or whatever.
Computers got really good at faking randomness even though being random goes against their nature. The pseudo-random stuff is fast and good enough most of the time. When true randomness is actually needed there's hardware solutions that use unpredictable physical processes. Both have their place depending on what you're doing with the numbers, and users usually don't need to know the difference between them anyway.
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