The Boston Celtics did not win the lottery – or any piece of it – on Tuesday night before Game 2 of the Eastern Conference finals against Cleveland.

The Celtics had a chance to get a top-three pick for this year’s draft, but the bouncing balls did not fall in their direction.

After trading last year’s No. 1 overall pick to the 76ers, Boston would have received the Lakers’ first-round pick if it landed at No. 2 or No. 3 on Tuesday. The chances of that happening were less than 3 percent.

The 76ers have Sacramento’s 2019 first-round pick in addition to their own. Boston would get the higher of Philadelphia’s two picks, unless it is first overall, which means they would get the lower pick. Boston already has its own pick at No. 27 overall in this year’s draft.

Phoenix had the best odds this year and it paid off when the Suns got the top overall pick. They were followed by Sacramento and Atlanta.

It’s the first time the Suns will have the chance to make the first overall selection, a reward of sorts after a season where Phoenix had the NBA’s worst record at 21-61.

Phoenix lost a coin flip for the top pick in 1969 to Milwaukee. The Bucks took Kareem Abdul-Jabbar. The Suns took Neal Walk.

Sacramento will pick No. 2 and Atlanta got the No. 3 pick – both of them moving up to get there. The top three spots were determined by the lottery, and then spots 4-14 fell in line of reverse order of record.

The draft is June 21 at Barclays Center in Brooklyn.

Josh Jackson, who just completed his rookie season with Phoenix, represented the Suns on the stage, for the public announcement of what was drawn in secret about an hour earlier. Only a handful of team representatives, NBA officials and media knew the outcome of the lottery before it was revealed publicly and they were all sequestered until the results were aired.

“Extremely excited,” Jackson said after the Suns were announced as the winner.