Here's the chances of not being chosen
You're worrying too much on the fact that you had 40 tickets, but the total of tickets was, as I said up there, 389. That's 349 tickets that are NOT yours. No need for complicated math to see that 349 tickets could have been drawn before your 40 tickets came in, even if it was randomly.
EDIT: Dude, I'm not trying to shut you off, but I'm actually studying this right now (I have all the papers lying on my desk if you want me to take a picture of the mess ). But that's the way it works...