Answer:
Therefore, the probability is:
[tex]P=\left(\frac{1}{50}\right)^7\\\\[/tex]
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:
[tex]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\\\\[/tex]
Therefore, the probability is:
[tex]P=\left(\frac{1}{50}\right)^7\\\\[/tex]
