There are now 9 teams with a legit shot to win the Super Bowl

After three weeks of the NFL season only nine teams still have a legit shot to lift the Lombardi Trophy, and the New England Patriots are still the heavy favorite.

Using Nate Silver's "2015 NFL Predictions," a model that rates each team and then projects how the regular season and playoffs will play out, we can get a better sense of which teams are the true Super Bowl contenders.

Heading into Week 4, the Patriots are the favorite with a 19% chance to win the Super Bowl. They are also already nearly a lock for the postseason with a 92% chance to make the playoffs. The Green Bay Packers are the favorite in the NFC with a 13% chance to win the Super Bowl.

In all, there are now nine teams with at least a 5% chance of winning the Super Bowl after three weeks:

1. New England Patriots, 19%
2. Green Bay Packers, 13%
3. Denver Broncos, 12%
4. Arizona Cardinals, 7%
5. Seattle Seahawks, 7%
6. Cincinnati Bengals, 6%
7. Pittsburgh Steelers, 5%
8. Carolina Panthers, 5%
9. Dallas Cowboys, 5%

The Atlanta Falcons (4%) and Buffalo Bills (3%) just missed the cut and were the only other teams given more than a 2% chance of winning it all.

The Seahawks were a slight favorite over the Patriots prior to the season but have fallen to fifth.

At the other end of the spectrum, for the first time we have teams without a legit shot to make the playoffs. Both the Chicago Bears (3%) and Cleveland Browns (3%) have less than a 5% chance to make the playoffs. The Tampa Bay Buccaneers (7%) and Washington Redskins (7%) are both not far behind.

Here are the 8 teams with the best chance to win each division:

• AFC East - New England Patriots, 74% chance to win their division
• AFC North - Cincinnati Bengals, 51%
• AFC South - Indianapolis Colts, 45%
• AFC West - Denver Broncos, 75%
• NFC East - Dallas Cowboys, 52%
• NFC North - Green Bay Packers, 78%
• NFC South - Atlanta Falcons, 50%
• NFC West - Arizona Cardinals, 50%

You can see the full projections at Five Thirty Eight.