To infinity and beyond

*Typical student during a test

The infinite monkey theorem

     " The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare. In fact the monkey would almost surely type every possible finite text an infinite number of times. "

An usefull definiton

Gian-Carlo Rota

 

"If the monkey could tap at the speed of 1 key per nanosecond, then it would take so much time to write Hamlet, that the estimated age of the universe would look like nothing... This is not a good method to write a play."

Some numbers at least

The word "HELLO" : 5 letters

H: 1/26

E: 1/26

L: 1/26

L: 1/26

O: 1/26

 

HELLO : 1/(26^5) = 1/11.881.376

0,0000008 % !

You better try lottery

Pi and its digit

What is an infinite number?

3,141 592 653 589 793 238 462 643 383 279 502 884 197

Let us analyse PI

There is no consistency into the digits of PI !

Some example 

• Golden ratio
• Champernowne constant
• √2 or √3

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• 1/3 ?