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5/14/2006

Infinite Monkey Theorem

Have you ever wondered how some people manage to finish their studies after failing over and over again? The reason isn't strong will nor perseverance. The reason is called Infinite Monkey Theorem, and it states that given an infinite amount of time, a monkey hitting random keys on a typewriter will eventually end up typing every book in the Bibliothèque nationale de France (or William Shakespeare's entire works, if you're british).

The mathematical proof is that considering each key hit as a statistically independent event, the chances of typing a specific text consisting of m characters, on a keyboard with 26 keys, are

1/(26^m).

The chances of not typing this text in any of the first n strings of m characters are:

X=(1-1/(26^m))^n

As the equation shows, as n grows, X gets smaller, and as n approaches infinity, X approaches zero, and therefore, for an infinite number of strings typed (n), the probability of typing the specific text (1-X) is one.

Anyway, this theorem explains how LA Clippers win some games and how I can sometimes, on extremely rare occasions, come up with a barely decent piece of writing.

7 comentarios:

Anonymous sarita said...

horale qué chido bato,
semease qué asi me resibí de la unibersida

5/14/2006 10:41:00 pm  


Anonymous sarita said...

no te creas con el comentario anterior, pero eso explicaría muchas de mis chiripadas chidas y buena fortuna como el dar con una persona tan improbable y linda como tu. tqmmmmmm

5/14/2006 11:38:00 pm  


Anonymous Anonymous said...

Que interesante lo del simio.
salu2
atte.
Gaby

5/15/2006 10:54:00 am  


Blogger Pequeña Saltamontes said...

Hey! I undestand now why my thesis is getting better!

Not because of my talent... damn!

Saludos, besos, abrazos y sonrisas.

8/02/2007 11:35:00 am  


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