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From Two Plus Two poster SplawnDarts [1]:

Any time you have randomness in a small number of symbols (such as the ranks, or suits, of a deck of cards) you get "false" patterns that repeat themselves for a short while. Human minds, being trained to look for patterns, spot these "false" patterns and continue to look for them, while ignoring additional random trials that don't fit the pattern (since our minds tend to ignore inconsistent data in the search for obscured patterns). As such, the pattern appears to perpetuate indefinitely. I strongly expect that if you actually wrote down all your cards for a few sessions, and applied any of the popular statistical tests for randomness, you would not find any convincing evidence that the cards are not random.

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