The Minnesota Timberwolves have the market cornered on No. 1 picks.

In an unusual circumstance, the player selected first in this year’s N.B.A. draft will probably join the first player selected in each of the last two drafts — Anthony Bennett and Andrew Wiggins — on the Timberwolves, who won the right to the pick in the draft lottery on Tuesday. Bennett and Wiggins were acquired in a trade for Kevin Love, but the Timberwolves acquired this year’s pick the old-fashioned way: by having the league’s worst record.

With the draft order now set, speculation can begin about which players will end up where. And the league and the public can alternately wince and laugh as the Knicks, who seemingly did everything in their power to land one of the top two picks, were shot down by the lottery system, which awarded them Pick No. 4.

1. Minnesota Timberwolves

Whether the Timberwolves use the pick on Karl-Anthony Towns of Kentucky or Jahlil Okafor of Duke, or surprise everyone by selecting someone else, the player taken will have interesting role models in Bennett and Wiggins. Those two represent the very different ways in which a No. 1 pick’s career can start. Wiggins, 20, just wrapped up a rookie-of-the-year season. Bennett, 22, is discussed as a draft bust, as his first two seasons have resulted in career averages of 4.7 points and 3.4 rebounds a game.

2. Los Angeles Lakers

After Minnesota’s selection, the Los Angeles Lakers will presumably choose whichever of the franchise big men is left and pair him with Julius Randle, the No. 7 pick last year, who missed most of this season with a broken leg. The Lakers would have a flawed roster, with no true point guard and an aging, and expensive, Kobe Bryant still lurking. But the chance to have full seasons from Randle and either Towns or Okafor would seemingly right the ship for one of the league’s marquee franchises. A team known more for poaching the best talent in the N.B.A. than drafting it in recent years, the Lakers have not had a pick this high since 1982, when they used the No. 1 overall pick on James Worthy.

3. Philadelphia 76ers

The Sixers, meanwhile, seemed to be losers in the lottery. Their roster was constructed to lose as many games as possible, but then they missed out on a shot at the two biggest names in the draft. But with Nerlens Noel finally getting onto the court this season, and Joel Embiid, the No. 3 pick last season, presumably ready to contribute, they did not need as much help on the front line as they do in the backcourt. Conveniently, D’Angelo Russell of Ohio State should be available, and nearly every mock draft has him going to Philadelphia.

4. Knicks

Should the Knicks hold on to the No. 4 pick, they have interesting options, but none of them seem perfect for the triangle offense that Phil Jackson, the team president, prefers. Most mock drafts have the team selecting Emmanuel Mudiay, a 6-foot-5 point guard who is expected to be a contributor on offense and defense. He is a bit of a mystery, as he spent the last season playing in China after deciding not to honor his commitment to Southern Methodist. While he may be the most talented player available, there is a question as to whether the Knicks would want him because the point guard position is de-emphasized in the triangle. Other options would include Willie Cauley-Stein, a big man from Kentucky, and Justise Winslow, a small forward from Duke. The team could also trade the pick to a team that covets Mudiay.

5. Orlando Magic

Rounding out the top five are the Orlando Magic, who will be looking to amass more talent to go with their backcourt of Elfrid Payton and Victor Oladipo and their front line led by Nikola Vucevic. Options would include whoever is left over among Mudiay, Cauley-Stein and Winslow, as well as the international players Kristaps Porzingis of Latvia and Mario Hezonja of Croatia. If they choose well, and Aaron Gordon, whom the team selected in the first round last season, continues to develop, the Magic would have a chance at the team’s first winning season since 2011-12 after a brutal three-season stretch in which they were 68-178.

The draft, which consists of two rounds of 30 picks, will be held June 25 at Barclays Center in Brooklyn.