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.)

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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) About Me  (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