# Race fast, safe car

**Discrete Mathematics**Level pending

Let \(N\) be a 5-digit palindrome. The probability that \(N\) is divisible by 4 can be expressed as \(\frac{a}{b}\), where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b\)?

**Details and assumptions**

A **palindrome** is a number that is the same when its digits are reversed (i.e. \(232\) is a palindrome).

The number \(10=010\) is not considered a 3-digit palindrome. It only has 2 digits, and we ignore any zero at the start.