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In a 1939 essay entitled "The Total Library", Argentine writer Jorge Luis Borges traced the infinite-monkey concept back to Aristotle's Metaphysics. Explaining the views of Leucippus , who held that the world arose through the random combination of atoms, Aristotle notes that the atoms themselves are homogeneous and their possible arrangements ...
Given enough time, a hypothetical chimpanzee typing at random would, as part of its output, almost surely produce one of Shakespeare's plays (or any other text).. The infinite monkey theorem and its associated imagery is considered a popular and proverbial illustration of the mathematics of probability, widely known to the general public because of its transmission through popular culture ...
Consequently, to understand whether a strategy operates cognitively or randomly, we need only calculate the probability of obtaining an equal or better outcome at random. In the case of the St. Petersburg paradox, the doubling strategy was compared with a constant bet strategy that was completely random but equivalent in terms of the total ...
Image credits: historycoolkids The History Cool Kids Instagram account has amassed an impressive 1.5 million followers since its creation in 2016. But the page’s success will come as no surprise ...
After choosing a box at random and withdrawing one coin at random that happens to be a gold coin, the question is what is the probability that the other coin is gold. As in the Monty Hall problem, the intuitive answer is 1 / 2 , but the probability is actually 2 / 3 .
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On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $6 and keep $2 as a tip for himself. Each guest got $6 back: so now each guest only paid $4; bringing the total paid to $12. The bellhop has $2.