Fire extinguishers are something that everyone should have. Even if you are in a small apartment, you still want to protect yourself from a potential fire. It is better to be safe then sorry. Plus if you have it, then Murphy's Law is that nothing will happen to make you use it. http://www.localfire.com.au/services.php
In my opinion, there should always be a fire extinguisher in an apartment, ideally in the kitchen. Regardless of whether or not it is required by law, having a fire extinguisher on hand is always a good idea. They are not expensive to maintain, so I don't see any reason not to. Make sure that you keep it filled and inspected.