Question

Events of low probability can eventually happen if you observe enough trials. Find the probability that the first 7 keystrokes a monkey types on a typewriter spell Tempest. Assume the typewriter has 50 keys and that the monkey types randomly.

Answer 1

Therefore, the probability is:

`P=\left((1)/(50)\right)^7\\\\`

Explanation:

We calculate the probability that the first 7 keystrokes a monkey types on a typewriter spell Tempest.

We conclude that the word Tempest has a total of 7 letters.

Assume the typewriter has 50 keys.

So the probability for each letter is 1/50.

Therefore, we get:

`P=(1)/(50)\cdot(1)/(50)\cdot(1)/(50)\cdot(1)/(50)\cdot(1)/(50)\cdot(1)/(50)\cdot(1)/(50)\\\\P=\left((1)/(50)\right)^7\\\\`

Therefore, the probability is:

`P=\left((1)/(50)\right)^7\\\\`