# Explore Zombie Cat

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**Teachable Moment:** This wonderful thought experiment is a great way of exploring probabilities as they apply to multiple random events. The mere fact that it has infused its way into popular culture is a testament to its ability to engage thinkers.

The infinite monkey theorem, originally posited by Emile Borel, states that a monkey pressing keys at random on a keyboard for an infinite amount of time would eventually type a finite text.

The probability of typing that text is straight forward:

n= number of possible keys on keyboard

l = length of phrase being typed

probability = (1/n)^l

However, as the length of the phrase gets longer, the probability of the monkey NOT typing the text approaches infinity P=1-(1/n)^l... but there's always a tiny probability that the phrase is typed... that's the problem with infinity!

The probability goes down significantly if we can save characters that are typed correctly as we go along.

**References:** http://en.wikipedia.org/wiki/Infinite_monkey_theorem

http://www.junkworthknowing.com/technology/the_infinite_monkey_theorem