Monty Hall Problem

I've actually encountered this problem before in a book, so I've already seen the way to go about solving it (hope that's not cheating :) Which is just to draw a table. That's what I've done. And by the way, you should change!

Upon first seeing it, it made sense to me that you should switch and have a more likely chance of getting a car. But logically, I keep tripping up. I watched the Khan Academy video and it made a little more sense. It said that if you picked wrong initially (which you're more likely to do) and always switch, you'll always get a car. That's the easiest way for me to think about it.