Latest tcs Aptitude Question SOLUTION: 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 th

• Placement Papers
• /
• tcs
• /
• Numerical Ability
• /
• Probability

tcs Question Papers: tcs Interview Experience(90) TCS Company Profile

(#M40157397) TCS Numerical Ability question key Keep an EYE

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

Asked In tcs amruta patil (7 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (12)   (1) Submit Your Solution Probability

Read Solution (4) :

Nilavo Chakraborty  (7 years ago)

9 keys. for each 1/9. for "and" 1/9*1/9*1/9=1/9^3
for 50 times (1/9^3)^50

Is this solution Helpfull? Yes (8) | No   

Ajay Kuril  (7 years ago)

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

Is this solution Helpfull? Yes (2) | No (7)  

Gayathri Devi G.R  (7 years ago)

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).

Is this solution Helpfull? Yes (2) | No   

sweety  (5 years ago)

50/6*729 i got this

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.