Here’s what makes thinking in probabilities so difficult. It requires two layers of beliefs that on the surface seem to contradict each other. We’ll call the first layer the micro level. At this level, you have to believe in the uncertainty and unpredictability of the outcome of each individual hand. You know the truth of this uncertainty, because there are always a number of unknown variables affecting the consistency of the deck that each new hand is drawn from. For example, you can’t know in advance how any of the other participants will decide to play their hands, since they can either
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