What is the expected amount of time that passes before abracadabra is. To be honest, i think the practical implications are limited. 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.
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Say you let one billion monkeys type for one billion years. If the keys are pressed randomly and. Creating explicit martingale descriptions for the monkey typing abracadabra ask question asked 2 years, 11 months ago modified 2 years, 11 months ago
With the parameters of this problem, the probability of any monkey typing out hamlet is so.
The problem is that this doesn't account for the probability of multiple monkeys typing out hamlet. The infinite monkey theorem stipulates that given infinite time, a monkey can type out the complete works of shakespeare, or any other text of finite length, just by randomly. It seems this neglects that, for example, after abra, if the monkey types b instead of c, one should not start all over again by betting 1 since one already has the prefix ab of the desired word. The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will type the.
In fact one monkey alone would write hamlet an infinite number of times given unlimited time. Suppose the typewriter has 50 keys, and the word to be typed is banana. The chance that during that period, they type out the complete works of. This wiki page gives an explanation of infinite monkey theorem.
