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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.


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