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Published in:
2019 | OriginalPaper | Chapter
Algorithmic Probability
Authors : Ming Li, Paul Vitányi
Published in: An Introduction to Kolmogorov Complexity and Its Applications
Publisher: Springer International Publishing
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P. S. Laplace (1749–1827) pointed out the following reason why intuitively, a regular outcome of a random event is unlikely: “We arrange in our thought all possible events in various classes; and we regard as extraordinary those classes which include a very small number. In the game of heads and tails, if heads comes up a hundred times in a row then this appears to us extraordinary, because the almost infinite number of combinations that can arise in a hundred throws are divided in regular sequences, or those in which we observe a rule that is easy to grasp, and in irregular sequences, that are incomparably more numerous.”