I'm not sure if guessing the result would be any better. Knowing anything about a fair dice, you might as well just stick to the same result for all tosses. Ho

I'm not sure if guessing the result would be any better. Knowing anything about a fair dice, you might as well just stick to the same result for all tosses. However, I approached the exercise in the same way as you did, as an adversarial game. I tried to generate numbers that would trick a human who is tasked with filtering out the series as random. No results repeating stuck me as a tell that the series was done by a human, so I included a fair number of repetitions of the same result that's still statistically plausible. Not sure how to work around that in the instructions. Edit: I think the study might say more about what the player thinks about other's expectation of randomness than about the player's own understanding of randomness.