When your knowledge is incomplete - meaning that the world will seem to you to have an element of randomness - randomizing your actions doesn't solve the problem
Ants don't agree. Take away their food. They'll go in to random search mode.
As far as that experiment is concerned, it seems that AnneC hits the point: How was it framed? Were the subjects led to believe that they were searching for a pattern? Or were they told the pattern? Wild guess: the former.
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Implication being that we're wasting our time?
Hope not, as debating politics is also a way to learn and understand politics. National or international politics are the equivalent of, say, the weather - something we experience, can't affect, but which we surely want to understand.