Suppose I have a long network cable buried into ground and construction workers will sometimes unintentionally damage it when doing excavation works. I need to analyze the probability of breakage assuming it happens randomly. If I try to address the probability of breaking the cable at any specific point then it will be zero because the "length of a point" is zero so it's kind of impossible to unintentionally damage the cable at a specific point.
So I have to divide the cable into sections for the analysis so that I then have sections of non-zero lengths and so non-zero probabilities of damage.
How do I choose lengths of sections and what other ways to address the probability calculation are there that deal with "length of breakage point" being zero?