It is impossible for the two teams to win the first prize, because each position has only one chance to draw lots, that is to say, only one table tennis ball can be popped up;
Generally speaking, the draft right is not drawn by lot, because generally speaking, every ranking draw is made after the end of a regular season and before the NBA draft.
In response to the supplementary question: not every team has the chance to draw lots, only the last dozen teams have it, so this kind of drawing lots is usually called "loser's party". Among these dozens of teams, each team has only one chance to draw lots. If any team draws other positions, it can no longer participate in the competition for the remaining positions. Therefore, there is no possibility that LZ said that two teams draw one lot or one team draws more lots.