The other day I was at the grocery store and I overheard the cashier talking with the stock boy bagging up my groceries. She said that they're been without water in their house for three days (not sure why, as she didn't say and I--a complete stranger--didn't want to seem like a nosy prick).
The cashier went on to say that the plumbing company completely tore up their yard and their parents had to take out a $10,000 loan to pay for it.
Then a thought struck me: if they had an emergency fund, they wouldn't have to go into debt to pay for it.
This truly was an emergency, and it shows one small example of why it is important to have an emergency fund.