Here are the team names and the amount of chances each team should have:

Lottery Odds (ping pong balls)
1. Bulls (25)
2. Bucks (20)
3. Pistons via Royals (15)
4. Warriors (12)
5. Wolves (9)
6. Nets (7)
7. Pacers (5)
8. 76'ers (3)
9. Heat (1)
10. Conquistadors (1)
11. Mets (1)
12. Lakers (1)

So, here's the actual ranges:
BULLS 1-25
BUCKS 26-45
PISTONS (VIA ROYALS) 46-60
WARRIORS 61-72
WOLVES 73-81
NETS 82-88
PACERS 89-93
76ERS 94-96
HEAT 97
CONQUISTADORS 98
METS 99
LAKERS 100

I'll run the lottery on random.org at the top of the hour and post the results below.

Here is your sequence:

20 88 52 58 75 41 17 93 40 83 27 39 78 91 68 18 76 32 97 70 42 72 15 60 80 96 63 31 19 77 53 7 56 74 10 28 50 71 54 2 29 94 13 21 64 25 79 57 49 45 67 9 48 81 23 90 46 44 4 66 65 62 47 86 51 5 34 1 73 33 85 35 100 22 95 82 69 16 36 30 84 87 26 89 38 24 37 92 61 3 43 8 11 59 98 55 12 6 14 99

Timestamp: 2016-12-10 19:00:00 UTC

Not sure how many spots are determined for this league but I assume at least 3 will be so...

Bulls
Nets
Pistons via Royals

Enjoy the draft guys.

Thank you Z