Useful for understanding load on machines. One case I had was -- N machines randomly updating a central database. The database can only handle M queries in on

Useful for understanding load on machines. One case I had was -- N machines randomly updating a central database. The database can only handle M queries in one second. What's the chance of exceeding M? Also related to the Birthday Problem and hash bucket hits. Though with those you're only interested in low collisions. With some queues (e.g. database above) you might be interested when collisions hit a high number.