tumblr is blocked on my schools internet for being a dating site

Posted on 1st Aug at 4:22 PM, with 173,638 notes

tumblr is blocked on my schools internet for being a dating site

Posted on 31st Jul at 9:49 PM, with 285 notes

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Ignoring punctuation, spacing, and capitalization, a monkey typing letters uniformly at random has a chance of one in 26 of correctly typing the first letter of Hamlet. It has a chance of one in 676 (26 × 26) of typing the first two letters. Because the probability shrinks exponentially, at 20 letters it already has only a chance of one in 2620 = 19,928,148,895,209,409,152,340,197,376 (almost 2 × 1028). In the case of the entire text of Hamlet, the probabilities are so vanishingly small they can barely be conceived in human terms. The text of Hamlet contains approximately 130,000 letters.[note 3] Thus there is a probability of one in 3.4 × 10183,946 to get the text right at the first trial. The average number of letters that needs to be typed until the text appears is also 3.4 × 10183,946,[note 4] or including punctuation, 4.4 × 10360,783.[note 5]

Even if every proton in the observable universe were a monkey with a typewriter, typing from the Big Bang until the end of the universe (when protons no longer exist), they would still need a ridiculously longer time - more than three hundred and sixty thousand orders of magnitude longer - to have even a 1 in 10500 chance of success. To put it another way, for a one in a trillion chance of success, there would need to be 10360,641 universes made of atomic monkeys.[note 6] As Kittel and Kroemer put it, “The probability of Hamlet is therefore zero in any operational sense of an event…”, and the statement that the monkeys must eventually succeed “gives a misleading conclusion about very, very large numbers.” This is from their textbook on thermodynamics, the field whose statistical foundations motivated the first known expositions of typing monkeys.[3]

In fact there is less than a one in a trillion chance of success that such a universe made of monkeys could type any particular document a mere 79 characters long.[note 7]

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Posted on 31st Jul at 8:44 PM, with 369,370 notes

*studies for 2 minutes*