Which team will be the luckiest on Tuesday?
Which team will be the luckiest on Tuesday? (USATSI)

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The 2014 NBA Draft lottery will air on ESPN at 8 p.m. ET on Tuesday, before Game 2 of the Eastern Conference finals between the Miami Heat and Indiana Pacers. Fourteen teams will have representatives in New York for the event -- the Philadelphia 76ers have sent Julius Erving, the Phoenix Suns have sent the Morris twins -- and will be hoping for some luck when it comes to the lottery balls. 

The teams with the best shot at the No. 1 overall pick are the Milwaukee Bucks, Philadelphia 76ers, Orlando Magic and Utah Jazz. The prospects who are projected to go near the very top of the draft are Kansas' Andrew Wiggins and Joel Embiid, Duke's Jabari Parker and Australia's Dante Exum. Here's a breakdown of each team's chances to get the No. 1 spot:

1. Milwaukee Bucks: 25 percent

2. Philadelphia 76ers: 19.9 percent

3. Orlando Magic: 15.6 percent

4. Utah Jazz: 10.4 percent

5. Boston Celtics: 10.3 percent

6. Los Angeles Lakers: 6.3 percent

7. Sacramento Kings: 4.3 percent

8. Detroit Pistons: 2.8 percent

9. Cleveland Cavaliers: 1.7 percent

10. New Orleans Pelicans: 1.1 percent

11. Denver Nuggets: 0.8 percent

12. New York Knicks: 0.7 percent

13. Minnesota Timberwolves: 0.6 percent

14. Phoenix Suns: 0.5 percent

Some other things to watch for: if a team leapfrogs the Pistons and they fall to ninth or lower, their pick will belong to the Hornets. If the Pelicans do not jump to the top five, their pick will belong to the Sixers.  The Magic will receive the Knicks' pick or the Nuggets' pick, whichever is lower.