Here are the odds for the 4th seed in the lottery:
#1 11.9%
#2 12.6%
#3 13.3%
#4 9.9%
#5 35.1%
#6 16%
#7 1.2%
Interestingly, the least likely scenario is the #4 seed getting the #4 pick. Odds are overwhelming that the #4 pick will either move up (37%) or get jumped by one or two teams(53%).