Cleveland will have the No. 1 pick in next year’s amateur baseball draft for the first time, winning a lottery on the second try Tuesday after Washington came out with the top spot initially but was ineligible.

Major League Baseball and the players’ association agreed to the lottery in their March 2022 labor contract, an innovation to discourage struggling teams from deliberately trying for a top draft pick by getting rid of veterans.

The 18 teams that failed to make the playoffs entered the weighted lottery, and the first drawing of four ping-pong balls at the Gaylord Opryland Resort and Convention Center came up with 3-9-11-13 — a winning combination for the Nationals among 1,001 combinations.

Washington was ineligible to pick in the top six because the collective bargaining agreement states a team that pays in the revenue-sharing plan cannot have a lottery pick in back-to-back years, and the Nationals chose outfielder Dylan Crews with the No. 2 selection this year.

Cincinnati will pick second in the July 14 draft at Arlington, Texas, followed by Colorado, Oakland, the Chicago White Sox, Kansas City, St. Louis, the Los Angeles Angels, Pittsburgh and Washington.

Detroit selects 11th, followed by Boston, San Francisco, the Chicago Cubs, Seattle, Miami, Milwaukee and Tampa Bay.

The New York Mets, Yankees and San Diego are each likely to drop 10 slots in the draft because they will exceed the threshold for the second luxury tax surcharge and were not winners of a top-six pick in the lottery. The Mets are projected to pick 19th, the Padres 25th and the Yankees 26th.

Oakland will be ineligible for a top-six selection in 2025 because it receives revenue-sharing money and already will have had two straight top-six picks.