# 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.

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