SOLUTION: A computer system requires you to have a three digit access code. It cannot start with zero. What is the probability that your code is 123 or 132? (Round to four decimal places.)

Question 1129016: A computer system requires you to have a three digit access code. It cannot
start with zero. What is the probability that your code is 123 or 132? (Round
to four decimal places.)
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
A computer system requires you to have a three digit access code. It cannot
start with zero. What is the probability that your code is 123 or 132? (Round to four decimal places.)

That's 2 possible ways out of the integers 100-999.

We want to find out how many integers there are between 100 and 999,
inclusive:

There are 999 numbers 1-999, incusive
There are 99 numbers 1-99, inclusive that we don't want to count because
they are not 3-digit numbers.
So there are 999-99 = 900 numbers between 100 and 999 inclusive.

So the answer is

2 possible ways out of 900 or 2/900 which reduces to 1/450, and as
a decimal to 4 decimal places is 0.0022

Edwin

RELATED QUESTIONS
A computer system requires users to have an access code that consists of a three-digit... (answered by sudhanshu_kmr)

I cannot for the life of me figure this one out, I have tried several time and still come (answered by Alan3354,Theo)

An access code for a security system consists of a letter followed by four digits. The... (answered by stanbon)

The access code for a garage door consists of three digits. Each digit can be 2 through... (answered by Alan3354)

A four digit code using numbers from 1 to 5 is used for remote access to an answering... (answered by Alan3354)

A four digit code using numbers from 1 to 5 is used for remote access to an answering... (answered by Fombitz)

The access code for a car's security system consists of 4 digits. The first digit cannot (answered by stanbon)

The access code for a car's security system consists of four digits. The first digit... (answered by stanbon,jerryguo41)

The access code for a cars security system consists of four digits. The first digit... (answered by Fombitz)