- 1
- 0
I've been wondering about a simple question that I can't just google and get the answer to. Usually when we calculate probability, we know the number of possible outcomes. Say we toss a coin, there are 2 possible outcomes with one being head and one being tail. So the chance of getting a head is 1/2, WHEN you toss the coin. So maybe "tossing the coin" is a defined event. What if the event is continuous in time? What if say, instead of tossing the coin, I balance the coin so it rolls down the hills, and I ask the question, what is the chance of the coin losing its balance after rolling down the hills for 10 seconds, for 20 seconds, and so on? A more practical example would be what is the chance of getting into a car accident after driving for x amount of time? I would expect the theory that corresponds to this to be a growth of probability with respect to time where it reaches 100% when t->infinity.