The #4 spot is pretty sweet, too.
11.9% chance of 1st
12.6% chance of 2nd
13.3% chance of 3rd
9.9% chance of 4th
35.1% chance of 5th
16.0% chance of 6th
1.2% chance of 7th
So... 83% chance of top 5, and a better than 1/3 chance of top 3.
But I'm not too worried about how the ping pong balls will roll, right now. I'm worried about wosing to the Clips.
Sixth place doesn't have nearly as appealing odds.