Question

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?

Answer 1

`1` in `100,000`

Explanation:

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`.