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suppose you applied all your superstitions and numerology beliefs and picked lottery numbers and won... would you behave differently than if you just picked numbers randomly and won? 🤔
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I have no anecdata to help think about this. It's not about luck itself, but how you think about luck in relation to yourself. The meaning of your good luck or bad luck.
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It is mathematically impossible for the method of picking numbers randomly to do better than picking numbers randomly. But it is possible for some method (e.g. superstition) to do better than random. You behave differently because evidence for implied hypothesis is different.