Question

In: Statistics and Probability

Probability 1

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?

Solutions

Expert Solution

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 .

1in 10000

Sankar Maity answered 3 years ago
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