Question

suppose the monkey is typing using only the 26 letter Keys what is the probability that the monkey will type cat

Answer 1

The probability that the monkey will type 'cat' using the 26 letter keys is 1 in 17,576.

Step-by-step explanation:

To find the probability that the monkey will type "cat" using only the 26 letter keys, we need to determine the total number of possible combinations the monkey can type and then calculate the probability of typing "cat".

There are 26 letter keys on the keyboard, so each key has an equal chance of being pressed. The probability of typing 'c' is therefore 1/26, the probability of typing 'a' is also 1/26, and the probability of typing 't' is 1/26.

To find the probability of typing the entire word 'cat', we multiply the individual probabilities of typing each letter together: (1/26) * (1/26) * (1/26) = 1/17,576. So, the probability that the monkey will type 'cat' is 1 in 17,576.

Answer 2

Every time the monkey types 3 letters, the probability that they will be C-A-T is
(1/26)-cubed = about 0.0057 % .