if a three-digit number is selected at random from the integers 100 to 999, inclusive, what is the probability that the first digit and the last digit of the integer will both be exactly two less than the middle digit?
Choose the correct choice from the following:
A) 1:900 B) 7:900 C) 1:1,000 D) 1:100 E) 7:100
There are 900 numbers between 100 and 999 (inclusive).   Numbers of the form A7:900A are: 131, 242,353,464,575,686,797 = total 7   Thus the probability asked = 7/900   7:900 is the correct answer.
<result>B</result>
if a three-digit number is selected at random from the integers 100 to 999, inclusive, what is the probability that the first digit and the last digit of the integer will both be exactly two less than the middle digit?