Anything can happen if you give it million of years. A fat monkey can sit and over million of years his writings become a treatise on God, religion and evolution… humans don’t know enough to declare alternative hypotheses false…however fat monkeys can…
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 any 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
The history of the theorem
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Attempts have been made to support evolution by appealing to mathematics to justify long ages. For example, Nobel prize winner, George Wald, wrote, "Time is the hero of the plot. Given enough time anything can happen - the impossible becomes probable, the improbable becomes certain." (1)
Thomas Huxley ("Darwin's Bulldog") used this technique in Oxford, in 1860, while debating Samuel Wilberforce. He stated that if monkeys randomly strummed typewriter keys for a long enough time, then sooner or later Psalm 23 would be printed out. Huxley used this argument to demonstrate that life could have originated on Earth by chance. (2)
Julian Huxley (1887-1975) repeated this analogy to 'prove' that long periods of time could allow impossible evolution to occur. In his analogy, given enough time, monkeys randomly typing on typewriters could eventually type out the complete works of Shakespeare. (3)
Stephen Hawking used the monkey story in 1988. He proposed that if there was a horde of typing monkeys, then "very occasionally by pure chance they will type out one of Shakespeare's sonnets." (4)
The fat monkey theorem is false
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Is Darwinian evolution up to the job? Well, other research from Axe suggests that if a feature requires more than 6 mutations before conferring some advantage, it won’t arise in the history of the earth.
In other words, Darwinian evolution isn’t going to be able to produce fundamentally new protein folds. In fact, it probably wouldn’t even be able to produce a single 9-character string of nucleotides in DNA, if that string would not be retained by selection until all 9 nucleotides were in place.
This is called the combinatorial inflation problem. To summarize, the problem goes like this:
Natural selection works well when it can build structures in small incremental steps. But when multiple mutations are necessary to produce a selective advantage, the odds of the trait arising begin to become very small.
Huxley the scientist?
day before Darwin published On the Origin of Species, Huxley wrote to him on November 23, 1859, “I finished your book yesterday… I am ready to go to the stake, if requisite, in support… And as to the curs which will bark and yelp, you must recollect that some of your friends… are endowed with an amount of combativeness which… may stand you in good stead. I am sharpening up my claws and beak in readiness.”]
They type Shakespeare, build mosques, eat too much… ah progress 
