# Unto zero

**Discrete Mathematics**Level 3

Let \(a, b\) and \(c\) be the three numbers resulting from three independent throws of a fair 6-sided dice labeled \(1\) through \(6\). The probability that \( (a-b)(b-c)=0\) can be expressed as \(\frac{m}{n}\), where \(m\) and \(n\) are coprime positive integers. What is the value of \(m+n\)?