2015年4月24日 · $\begingroup$ @AdityaAgarwal it is a theorem about a probability hence probabilty theory is the tool to use. Also, Borel-Cantelli is more or less equivalent to the infinite monkey theorem. The idea is to compare convergence of $1 …

2023年7月8日 · The infinite monkey theorem states something like: If a random process generates a countably infinite ordered set of characters C, then any finite ordered set of characters S of length L is almost surely an ordered subset of C.

2020年12月28日 · Hello all, I have revisited the infinite monkey theorem and have been giving it much thought as of late. I have come to the conclusion that the infinite monkey theorem is false. Upon sharing this information with many people online they have all simply made like monkeys and threw their feces at my face saying I'm just an ignorant idiot (Apart ...

2021年3月15日 · I had a discussion with a friend about the monkey infinite theorem, the theorem says that a monkey typing randomly on a keyboard will almost surely produce any given books (here let's say the bible). I believe this experience can be reduced to choosing a random sequence among real numbers:, strictly speaking the monkey could type a sequence ...

2019年8月5日 · This wiki page gives an explanation of "Infinite monkey theorem". Suppose the typewriter has 50 keys, and the word to be typed is banana. If the keys are pressed randomly and independently, it means that each key has an equal chance of being pressed.

2011年1月12日 · This is called the infinite monkey theorem in the literature. It follows from the second Borel-Cantelli lemma and is related to Kolmogorov's zero-one law , which is the result that provides the intuition behind general statements like this.

2019年5月20日 · I was thinking about the Infinite Monkey Theorem and wondered if there’s any similar theorems but with a finite set? I know the infinite size is a critical assumption in the Monkey theorem, but are there any other results? UPDATE: I realize now this question was badly worded and unclear, so I'll state it a bit more thoroughly:

2021年1月6日 · The "Infinite Monkey Theorem" is a thought experiment to illustrate the Borel 0-1 law/Borel-Cantelli Lemma. This Lemma says that for a sequence of events $(A_n)_n$ living in a single probability space, we have

2015年2月11日 · The theorem is true, and its proof is here (which is what makes it a theorem) In the context of the theorem's hypothesis, a monkey (or, alternatively, a typist) is a metaphor for an abstraction that produces infinite sequences of letters and symbols, chosen uniformly at random

2023年11月28日 · TIL researchers testing the Infinite Monkey theorem: Not only did the monkeys produce nothing but five total pages largely consisting of the letter "S", the lead male began striking the keyboard with a stone, and other monkeys followed …