Whoops!
This is really what I was asking, I guess. I didn't realize that saying "event A has probability 1" was not the same as saying "A will definitely occur."
Yeah, I wasn't thinking that through very well when I posted it. I guess what I meant was that for any interval of time with...
Hmm...weird. It doesn't seem like the probability should change just because he has been waiting a while. How would you formulate that conditional probability?
I was watching a youtube video from MIT's open courseware series on probability. A scenario was proposed: Al is waiting for a bus. The probability that the bus arrives in x minutes is described by the random variable X, which is uniformly distributed on the interval [0,10] (in minutes).
I...