The Lottery watch thread in the personnel moves forum is long and hairy, so it's hard to find, but it looks like the Kings tied with two other teams for positions 8, 9 and 10.
This apparently means that the ping pong ball combinations for spots 8, 9 and 10 will all be combined and distributed among those three teams equally. So the Kings, Bobcats and Bulls will all have an equally likely shot at the top three picks.
If the Kings don't get one of the top three picks (and the Bobcats and/or Bulls also don't), then there is a random draw to determine which order those (two or) three teams will draft in. That is what is happening in an hour or two on NBATV.
Somebody please correct me if I'm wrong.