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- probability - Proof of infinite monkey theorem. - Mathematics Stack . . .
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 complete works of William Shakespeare
- probability - Given an infinite number of monkeys and an infinite . . .
In fact one monkey alone would write Hamlet an infinite number of times given unlimited time
- chance of getting AB before AA - Mathematics Stack Exchange
What is the probability of a monkey typing random letts and getting AB before getting AA We are learning probability using martingale and stopping time I tried to define T to be the stopping ti
- Infinite monkey theorem and numbers - Mathematics Stack Exchange
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 the bible
- Are there any practical implications of Infinite Monkey Theorem?
To be honest, I think the practical implications are limited Say you let one billion monkeys type for one billion years The chance that during that period, they type out the complete works of Shakespeare is very close to $0$ (and, from a practical perspective, it is $0$) That's what makes the theorem so counterintuitive What the theorem is actually saying is that as time approaches
- probability - Monkey randomly typing on a typewriter with 26 letters . . .
There's a monkey randomly typing on a 26 letter keyboard, and the probability of each letter appearing is $\\dfrac{1}{26}$ We need to find out the expected time until the monkey types a certain word
- Smoothness and my typing speed - Mathematics Stack Exchange
I see that as I change the value of smoothness, the line changes its slope and my typing speed apparently decreases when smoothness is high Can anyone give an intuitive explanation of why does this happen? What is the correct optimum amount of smoothness so that I get the truest trend of my typing speed over time?
- probability theory - Generalized $\texttt {ABRACADABRA}$ Problem . . .
Consider the classic problem of a monkey hitting random keys on a keyboard, each with equal probability, and calculating the expected time for the monkey to type $\\texttt{ABRACADABRA}$ (if unfamiliar
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