Hello! Socratic's Terms of Service and Privacy Policy have been updated, which will be automatically effective on October 6, 2018. Please contact hello@socratic.com with any questions.

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?

1 Answer
May 15, 2018


#1# in #100,000#


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 #10# possible digits.
So does the second.
And the third, fourth, and fifth.

#10 * 10 * 10 * 10 * 10 = 10^5 = 100,000#

So there are #100,000# total combinations of passwords.

Hence, the odds the hacker guesses is #1# out of #100,000#.