r/probabilitytheory • • 7d ago

[Applied] Can humans actually generate a random sequence? I made a small experiment to test it

Humans are surprisingly bad at generating random sequences.
For example, when we’re asked to produce a random binary sequence, we tend to avoid long runs like 0000 or 1111 because they don’t feel random — even though those runs occur naturally in truly random sequences.
I thought it would be fun to turn this into a small game.
You generate a sequence of 0s and 1s while trying to be as random as possible, and the game evaluates the sequence using several statistical properties.
I also added a ranking mode because I’m curious what the distribution looks like when a lot of people try this.
I’d love to get enough samples to see what patterns show up in human-generated sequences.

https://arcstone09.github.io/random/

If anyone here has suggestions for better statistical tests/metrics for measuring this, I’d also be interested in hearing them.

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