SAN JOSE – The San Jose Sharks had all kinds of luck in Tuesday’s NHL draft lottery.

The Toronto Maple Leafs won the right to select first overall in next month’s NHL draft, and the Sharks will draft No. 2 overall after having only a 5.2% chance of winning the second draft lottery.

The Sharks had just 50 of a possible 1,000 four-digit combinations available to them, but saw one of them come up 11-4-3-7. The Sharks had an 18.2% chance of winning the second lottery after 3 came up as the third number, and needed either a 7 or a 9 to pop up inside the bingo-style machines at the NHL Network studio in Secaucus, N.J.

Gavin McKenna, who was tied for fifth in NCAA Division I scoring this past season with 51 points in 35 games as a freshman at Penn State, is NHL Central Scouting’s top North American skater and could go to the Maple Leafs.

But even if McKenna goes to Toronto, the Sharks will still have their pick of exceptional players, who might be ready to join the NHL as soon as next season.

Other top players available include winger Ivar Stenberg, Central Scouting’s top international skater, and North American skaters Caleb Malhotra of the OHL’s Brantford Bulldogs, a center, and defensemen Keaton Verhoeff of the University of North Dakota, and Chase Reid of the OHL’s Soo Greyhounds.

The Sharks finished 24th in the NHL’s overall standings and had a 5% chance of winning the first lottery draw and a 10.2% chance of landing one of the top two picks for the NHL draft in June.

As has been the case in the previous four seasons, the first two picks in the draft were both determined by the lottery, with the first overall selection determined by one draw and the No. 2 pick by another. Teams were eligible to move up a maximum of 10 slots, and for the second straight year, the drawing of lottery balls was shown live.

The Sharks had 50 of the 1,000 four-digit combinations, 135 fewer than the Vancouver Canucks, who had a 25.5% chance of winning the first draw on Tuesday after they finished this past season in 32nd and last place.

The Sharks had the best odds of winning the NHL draft lottery in the previous two years, after finishing last in the 2023-24 and 2024-25 seasons.

The Sharks won the lottery in 2024 and selected center Macklin Celebrini first overall, and were awarded the No. 2 overall pick last year and took center Michael Misa.

The New York Islanders won the first lottery draw last year and took defenseman Matthew Schaefer at No. 1. The Utah Mammoth won the second lottery draw, but could only move up 10 slots to No. 4, giving the Sharks the second overall pick. The Sharks could have fallen to the No. 3 overall pick.

This year, it was possible for the Sharks to come out of the lottery with first, second, third, ninth, 10th or 11th overall selection. The most likely outcome for the Sharks was to draft ninth overall (64.4%), followed by 10th (23.5) and second (5.25).

With the Sharks holding the ninth overall selection, players who could be available at that spot include defensemen Alberts Smits (Jukurit-Liiga), Carson Carels (Prince George-WHL) or Daxon Rudolph (Prince Albert-WHL), and forwards Viggo Björck (Djurgårdens-SHL), Tynan Lawrence (Boston University), and Oscar Hemming (Boston College).

The Sharks also hold a second first-round pick they acquired from Edmonton last year as part of the trade that sent defenseman Jake Walman to the Oilers.

That pick this year will wind up 19th or 20th overall, depending on whether the Anaheim Ducks can beat the Vegas Golden Knights in their second-round playoff series and advance to the Western Conference final, thereby passing the Oilers in the first-round draft order.

Sharks general manager Mike Grier said last month that he is open to trading one of his two first-round draft picks if the right deal comes along. But he also has no problems adding another top player to an already impressive prospect pool.