The Wild never had a chance to snag the No. 1 pick the last time it participated in a draft lottery seven years ago, but that’ll be a possibility Tuesday when the NHL reveals the order of selection for 15 teams.

After finishing with 83 points, 11th among the clubs in the lottery, the Wild has a 3 percent chance of landing the top pick.

Results will be announced live during a one-hour show on NBCSN starting at 7 p.m.

There will be two ensuing draws, for the second and third selections, and odds for the remaining teams will increase on a proportionate basis based on which organization won the previous drawing. The 12 teams not picked will fill out spots four through 15 based on fewest to most regular-season points.

If the Wild doesn’t move up, it will have the 11th overall choice at the draft, which is in Vancouver on June 21-22.

The change to the lottery format was implemented in 2016; in previous years, there was only one drawing for the No. 1 pick and a team couldn’t move up more than four slots.

When the Wild last missed out on the playoffs, in 2012, it finished seventh among the non-playoff teams and retained that pick in the lottery, using it for defenseman Matt Dumba. That’s been the highest the Wild has selected over the past 13 drafts, with a collection of midround picks following in the years the Wild even had a first-rounder.

In 2017, the Wild didn’t make its first pick until Round 3 (forward Ivan Lodnia) after trading away its first two picks. It also didn’t select in the first round in 2013.

Last summer, the Wild made eight picks for its heftiest haul since it also drafted eight players in 2014. Swedish defenseman Filip Johansson was the Wild’s first selection in 2018, going 24th overall.

American center Jack Hughes, 17, and Finnish winger Kaapo Kakko, 18, are the consensus top two picks this year.

A smart, speedy competitor, Hughes played for the U.S. junior national team’s silver medal entry. He has 23 goals and 86 points in 41 games with the U.S. National Under-18 Team this season.

As for Kakko, the 6-2 power forward helped Finland capture gold at the world junior championship before continuing his impressive season in Finland’s top professional league, where he racked up 22 goals and 38 points in 45 games.

Colorado, despite being in the playoffs, has the best odds of winning the lottery at 18.5 percent after receiving Ottawa’s No. 1 pick in the Matt Duchene trade from 2017. Los Angeles is second (13.5 percent), with New Jersey third (11.5 percent).

Such forwards as Peyton Krebs, Kirby Dach and Matthew Boldy could be available to the Wild if it sticks at 11th. And despite being primed to have its highest pick in recent years, the Wild doesn’t want this to become a trend for the franchise.

“We expect to be a playoff team next year,” center Eric Staal said. “There’s no doubt about it. There’s going to be a lot of guys with opportunity. This is going to be a big summer for a lot of our young guys, and hopefully everyone takes steps.”