The June 12, 2006 PoW

The NBA lottery randomly draws four numbers from the set {1, 2, 3, ..., 14} to chose its first, second, and third place draft pick. The number of chances is the number of outcomes assigned to each team. Verify the probabilities for Pick 1 and Pick 2, if each drawing which does not lead to a new outcome is redrawn. The probabilities below are for when there were 13 teams that did not make the playoffs. See http://en.wikipedia.org/wiki/NBA_Lottery for the current probabilities, now that there are 14 teams that do not make the playoffs.

probabilities