The Colorado Rockies were one of six teams that gained selections after the first round of next year's draft.
Major League Baseball announced the results of the second annual competitive balance lottery, which involved 10 teams with the lowest revenues and another 10 from the smallest markets.
The system was agreed upon as part of the 2012-16 collective bargaining agreement. The odds of a team winning a higher draft pick was based on the winning percentage from the 2012 season.
The Baltimore Orioles will pick after the Rockies at the conclusion of the first round, followed by Cleveland, Miami, Kansas City and Milwaukee. The six draft picks after the second round will go to, in order, San Diego, Arizona, St. Louis, Tampa Bay, Pittsburgh and Seattle.