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
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
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?
Monkeys and Typewriters - Mathematics Stack Exchange If "a monkey" randomly "types" 1 of these 30 symbols at a rate of one per second, how long will it take M monkeys working at this rate, on average, for one of them to randomly write this specific N symbol long collected works?