This isn't a homework question, but rather a question of personal interest:

Some process A starts at a random time during the day and runs for 30 seconds. Process B also starts at a random time during the day and runs for

6 minutes. What is the probability that for a given day, the

processes overlap?

Does this problem involve independent random variables and/or calculus, since time is continuous and we consider an interval with infinitely many possible starting points? I was thinking the distance between the starting points could be viewed as a differential, and some type of integral would be involved in computing the probability. Any help would be appreciated! Thanks!