NEW YORK (AP) -- The Cleveland Cavaliers would prefer to be known for being good, not lucky.
Maybe next year.
For now, disappointment is replaced by disbelief, as even they are amazed by their remarkable run of lottery luck.
''It was incredible,'' general manager David Griffin said Tuesday. ''When Cleveland didn't pop up at nine, I knew obviously we had moved up and I had to gather myself for a second. Just a remarkable feeling.''
Familiar one, too.
The Cavaliers won the No. 1 pick in the NBA draft for the second straight year and third time in the last four. They moved up from the ninth spot, when they had just a 1.7 percent chance of winning the top selection.
''It seems surreal,'' Cavs vice chairman Jeff Cohen said. ''This is three out of four years and we had a 1.7 percent chance of coming up with the first pick and we pulled it off again.''
They drafted Kyrie Irving first in 2011 and will hope to do better with this win than last year, when they took Anthony Bennett, who had a forgettable rookie season.
Nick Gilbert, the son of Cleveland owner Dan Gilbert, was on the podium for the previous two wins, but Griffin was there this time.
He had a pin on his lapel from his late grandmother and was carrying one of Nick Gilbert's bowties, which was as lucky in his breast pocket as it was with Nick wearing it.
The Cavs can now choose among the likes of Andrew Wiggins and Joel Embiid of Kansas, Duke's Jabari Parker, or another player from what's considered a deep draft.
The Cavs won that one, too, in 2003, when they picked James. But they have been lottery regulars since he bolted for Miami in 2010, and they want that to stop.
The Milwaukee Bucks fell one spot to second and the Philadelphia 76ers will draft third. The Bucks had a 25 percent chance of winning after a league-worst 15-67 record, but the team with the best odds hasn't won since 2004.
The expected strength of the class led to speculation that teams were tanking in hopes of getting a high pick. But the Cavs had playoff expectations, hoping a strong season could make them attractive to James if he was interested in returning home as a free agent.
Nick Gilbert said last year he expected the Cavs to be done with the lottery, but they were right back in Times Square after a disappointing season that resulted in them firing Mike Brown after just one year and a 33-49 record in his second stint with the team. Another top selection surely will make Cleveland more attractive to prospective coaches.
The city of Cleveland may be on a 50-year championship drought, but sure does have this lottery thing figured out.
The 2011 win was also a stunner, when the Cavs moved up from the No. 8 spot with a pick they had acquired from the Los Angeles Clippers.
Orlando dropped a spot to fourth and also will have the No. 12 pick from Denver. Utah is No. 5 and the Lakers and Boston Celtics couldn't make the most of rare lottery appearances, with Los Angeles at No. 7 and Boston at No. 6.
The 76ers will have two top-10 picks: their own and New Orleans' at No. 10 from last year's trade that sent Jrue Holiday to the Pelicans.
''If we had No. 3 alone, I would be a little disappointed and so would our group. But the fact that we also have the 10th pick, we may have done better than anyone else,'' said Hall of Famer Julius Erving, who represented them. ''We can get two players out of this draft or leverage those two picks.''
Still, the big winners - again - were the Cavs.
Nick Gilbert was the hit of the 2011 lottery, his big glasses and bowtie charming viewers. This time it was Mallory Edens, the 18-year-old daughter of incoming Bucks co-owner Wes Edens. She gained thousands of Twitter followers after her brief on-camera interview.
But her Bucks pin wasn't lucky enough to end the run of back luck for the worst teams.
''I was really nervous, but I'm really happy we got the second pick,'' Mallory Edens said.
Things kept rolling for the Cavs, who duplicated the feat of Orlando, which went back-to-back at No. 1 in 1992-93. The latter win, after the Magic had gone 41-41 in Shaquille O'Neal's rookie season, caused the league to change the lottery to a weighted format that gave the worst teams the most chances.
The tanking talk has led to discussions to change it again, something Commissioner Adam Silver has said will be discussed this summer. But he has also said that if there was an ideal solution, the league would have implemented it by now.
The Cavs like it just as it is.
Follow Brian Mahoney on Twitter: https://www.twitter.com/Briancmahoney