I've tried searching for this kind of question, but the closest I've found is this, but the math is a bit over my head, and it's also tagged with "normal distribution", which I don't think applies to my question.
Basically, I'm trying to understand how you calculate the probability of an event, when time is the only deciding factor.
Let's say that you're looking at a digital clock on the side of a building which only displays hours & minutes (i.e. no seconds), but the clock is partially obstructed by a tree or utility pole or something. So, at any given moment, you can only see either the minutes or the hours, but never both at the same time.
You start out standing in a location such that you can see the minutes, which read "00". Then, you walk to a new position where you can see the hours, which read "12". If it took you "x" seconds to walk to that new location, what is the probability that the minutes have since changed to "01".
My gut reaction is simply to say x/60. But is that actually true? or is there a better way of understanding this kind of thing.
P.S. Obviously, if this where a riddle, then you could just look at the hours first, and then look at the minutes, and know for sure. But I'm just using this example to provide a foundation for understanding the math.