Question

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?

Answer 1

First sample space: 26

Second sample space: 26 x 26 = 676

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

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

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

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

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Chance of this scenario taking place:

1/17,576

That's a 1 in 17,576 chance.