It's interesting to consider whether it would end up making guesses that it sometimes gets correct, or whether it would actually learn to discriminate based on very early stages of drawing. It's conceivable to me that people might start out drawing "police car" differently from "car" in some subtle but detectable way, even if it doesn't involve what we humans would consider to be the distinguishing features of a police car.
Exactly the same thing happened to me (I did a CTRL+F on 'police' to find this post), which immediately turned me from 'this is cool' to almost quitting, and coming here to see if anyone else experienced the same thing (perhaps with different images).
It also didn't guess my drawing of a bulldozer, which I was surprised at since my drawing wasn't bad, and easily recognizable to any human of any age as a bulldozer.
I went back to complete the test, and it tells you what it guessed, which helped to explain both things.
Here's what it thinks a bulldozer looks like:
http://i.imgur.com/SU9edxi.gif
Here's the difference between "car" and "police car":
http://i.imgur.com/YKpANPl.gif
You, like me, obviously don't draw cars from the Soviet Union.
Edit: I just noticed (thanks to another post here) it also shows several examples of what it thinks an object looks like, and now I'm not sure why it didn't guess bulldozer, when couple of the images look like mine, certainly far more than the things it guessed.
At first I was thinking, how could it know this is a circle, but for the sun, it knew circle wasn't it when I had only drawn a circle. But it just occurred to me that the program probably tells it whether or not it's right before it actually verbalizes the guess/answer.
Then a few drawings after that, I got bus, and it guessed school-bus about 15 seconds in, and it wasn't until 10 seconds after that when it finally guessed just bus. So, I'm guessing this is the same for yours, it was simply guessing police car before car (probably because the NN takes probability into account and has gotten that as a right answer more often or something), and in your case it just happened to be right so it stopped guessing before it tried just "car."
I drew the exact same doodle for each and for each it guessed correctly on its first try.
If what you're supposed to be drawing is ranked 'sufficiently high' the game/training side of it moves on to the next.
The first guess for each doodle was the word that was provided -- if this software was completely legitimate, I would think it should have guessed the same word for each (and then moved on to other guesses).
A good test for that would be to script the game and give it pixel-identical answers for each questions and see if the result is different.
I guess a star is a zig zag looping on itself, kinda.
For instance, our sub-conscious tendency when drawing stairs would be to have straight lines at 0 and 90 degrees but a "zig-zag" wouldn't necessarily have that feature. Thus, even though you thought the drawings were the same, there were sufficient detectable differences for the AI to recognize.
I couldn't tell the difference between my basket and most of the successful baskets, but the robot didn't like my drawing.
Also with the sweater drawing I'd drawn just a T-shirt accidentally then when drawing a long sleeve it said it knew it was a sweater when it could have been similar things.
So this demonstration isn't about it identifying the drawing correctly, it's just about saying when it's found something considered close enough in an overly-broad range of ambiguous things based on the answer it's been given already.
It did identify some partially drawn things, like a line or a circle or more complex things the partial drawing could have been, but the pre-loaded rigging made me stop the test.