The Draft Drawing for the 2005 NHL Draft was weighted as such:
Each NHL team got either 3 balls, 2 balls, or 1 ball in the lottery. Teams that failed to qualify for the Stanley Cup Playoffs in the three seasons before the Draft, or were not awarded the first overall selection in the previous four NHL Drafts had the best chance of winning the lottery by being awarded 3 balls. If a team met one of the criteria above, they were awarded 2 balls, and if a team met more than one of the criteria, they were awarded only 1 ball. In 2005, four teams had 3 balls (6.3% chance), ten teams had 2 balls (4.2% chance), and sixteen teams had 1 ball (2.1% chance) for a total of 48 balls. In addition, the Draft operated as a snake draft in which the team picking 30th also picked 31st, and the team picking 1st would pick 60th and so on.
So using that same formula, we would see teams that failed to make the playoffs in the 2009-10, 2010-11, and 2011-12 seasons who weren't awarded a 1st overall pick in the 2009, 2010, 2011, and 2012 NHL Drafts with the best chance for 1st overall pick. Here's what we got using this formula (a check mark means the team made the playoffs or won the first overall pick):there are six teams that could benefit from receiving a much higher 2nd rounder than anticipated as a result of trades made this past season.
Of course, let's hope this Draft Lottery never actually happens and the puck drops this upcoming season.