Editorial Note: This article is written with editorial review and topic relevance in mind.
I tried to define t. Creating explicit martingale descriptions for the monkey typing abracadabra ask question asked 2 years, 7 months ago modified 2 years, 7 months ago Let $t$ be the random time (in this case also a stopping time) the sequence abc first appears once the monkey starts typing.
'Pottymouthed' parrot finds home in New York after hundreds apply to
Suppose the typewriter has 50 keys, and the word to be typed is banana. What is the probability of a monkey typing random letts and getting ab before getting aa. With the parameters of this problem, the probability of any monkey typing.
In fact one monkey alone would write hamlet an infinite number of times given unlimited time.
We are learning probability using martingale and stopping time. This wiki page gives an explanation of infinite monkey theorem. What is the expected amount of time that passes. What is the expected value of $t$?
1 we all know the statement that a monkey, typing random keys, given enough time, will type anything we want. Say what i want is the sentence: 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. 2 i've recently come across the infinite monkey theorem which loosely states that if you gave a monkey a typewriter and an infinite amount of time, it would almost surely type out.
If the keys are pressed randomly.
The problem is that this doesn't account for the probability of multiple monkeys typing out hamlet.
