# You have created a (random) 5-digit password for your computer. A hacker tries to break in to your computer. What is the probability that he is successful on the first attempt?

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May 15, 2018

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Each digit of the password can be one of ten possible digits (0,1,2,3,4,5,6,7,8,9). There are 5 password digits that need to be selected.

The first position has

So does the second.

And the third, fourth, and fifth.

So there are

Hence, the odds the hacker guesses is

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