The infinite monkey theorem states that a monkey hitting the keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare! Now, you have an essay that is 4 pages long. The total word count of the text is 3694 words and the total letter count of the text is 9971 . What is the probability that the word /and/ is typed by a hypothetical monkey pounding on a keyboard, if the keyboard has 9 keys of which 3 contain the letters /'a/', /'n/' and /'d/'? The word /and/ appears in your essay around 50 time

• 9 keys. for each 1/9. for "and" 1/9*1/9*1/9=1/9^3
  for 50 times (1/9^3)^50
• 7 years agoHelpfull: Yes(8) No(0)
• the typewriter has 50 keys, and the word to be typed is " and". Typing at random, the chance that the first letter typed is a is 1/50, and the chance that the second letter typed is n is also 1/50, and so on, because events are independent. So the chance of the first three letter matching and is
  (1/50)*(1/50)*(1/50)=(1/50)^3
• 7 years agoHelpfull: Yes(2) No(7)
• No. of keys=9
  so,for the key pressed to be 'a','n' or 'd' ,there is 1/9 probability.
  total prob for 1 'and' =(1/9)^3
  for 50 'and's, it becomes 50*((1/9)^3).
• 7 years agoHelpfull: Yes(2) No(0)
• 50/6*729 i got this
• 5 years agoHelpfull: Yes(0) No(0)