If you know enough science and can overcome a few cognitive biases when you're told about them in vivid ways,

Interesting anecdote along these lines: just this morning I used the 1960 Watson experiment as an attempt to explain the Confirmation Bias to a coworker. (That's the 'list triplets of numbers. I'll tell you if they fit or don't fit the rule I'm thinking of. Your first free example is 2 4 6, which fits.') Even after having the Confirmation bias explained to him as the fact that people don't tend to try to look for ways their beliefs might be wrong (amongst other things), he still only made 'positive' guesses, and came up with "Each number is even and a multiple of the first."

I was fascinated by this.