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

Answer:

Therefore, the probability is:

$P=\left(\frac{1}{50}\right)^7$

Step-by-step 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:

$P=\frac{1}{50}\cdot\frac{1}{50}\cdot\frac{1}{50}\cdot\frac{1}{50}\cdot\frac{1}{50}\cdot\frac{1}{50}\cdot\frac{1}{50}\\\\P=\left(\frac{1}{50}\right)^7$

Therefore, the probability is:

$P=\left(\frac{1}{50}\right)^7$