Suppose the monkey is typing using only the 26 letter keys. what is the probability that the monkey will type "cat" right off the bat?

First sample space: 26

Second sample space: 26 x 26 = 676

Third sample space: 26 x 26 x 26 = 17,576



In the sample space of 26, C will only appear once.



In the sample space of 676, C-A will only appear once.



In the sample space of 17,576 C-A-T will only appear once.



Chance of this scenario taking place:

1/17,576

That's a 1 in 17,576 chance.

In this problem it decreased 20%