Let's make some predictions.
I'll start with the relatively optimistic assumption that there is a 33% chance that the Nets finish with the worst record in the NBA. The Bulls might have even less talent and be more dysfunctional than the Nets. The Knicks/Lakers/Magic/Pacers/Suns are all historically bad.
Worst Record = 1/3
2nd Worst Record = 1/3
3rd Worst Record = 1/6
4th Worst Record = 1/6
I can't imagine being any more optimistic than this presently. This gives the Nets a 0% chance of not being one of the 4 worst teams. And a 2/3 chance of being one of the two worst (along with the Bulls).
The odds of different picks are then:
P(pick) = sum(P(record) * P(pick|record))
#1 = 19.55%
#2 = 18.15%
#3 = 16.45%
#4 = 27.95%
#5 = 14.36%
#6 = 3.33%
#7 = 0.2%
That's a 54.15% chance of getting a top 3 pick. I honestly can't imagine being any more optimistic at presence.
Luckily the top 5 in this draft is pretty good throughout.