'300 Home Run'Jersey 500 Home Run → When will it reach 600 Home Runs? Based on the mathematical probability

Aug 17, 2024

'300 Home Run'Jersey 500 Home Run → When will it reach 600 Home Runs? Based on the mathematical probability
New York Yankees Aaron Judge hits a career-high 300 home runs in the top of the eighth inning against the Chicago White Sox on the 15th (Korea time). AP Yonhap News



'300 Home Run'Jersey 500 Home Run → When will it reach 600 Home Runs? Based on the mathematical probability
Aaron Judge circling the base after hitting 300 home runs. AFP Yonhap News
How many home runs can Aaron Judge of the New York Yankees, who have achieved at least 300 home runs in the history of the game.

Judge reached the 300th home run mark for the 43rd time this season and 162nd time in Major League history against the Chicago White Sox at Guaranteed Rate Field on the 15th (Korea time).

Judge set a milestone in his last at-bat with one out and runners on first and second base in the top of the eighth inning with a 6-2 lead. When the opponent's right-hander Chad Kuhl's 4th pitch, 94.2 miles sinker penetrated the body, he pulled it as it was and hit a line drive home run with a launch angle of 23 degrees and a hitting speed of 110.1 miles to put it at 361 feet.



Judge, who made his debut in 2016, hit 300 home runs in 955 games, the fewest ever, and 3,431 at-bats. He broke all of Ralph Kiner's previous minimum record of 1,087 games and Babe Ruth's 3831 at-bats. Judge is the only player in history to hit 300 home runs within 1,000 games and 3,500 at-bats.

The day after Judge hit the milestone, MLB.com published an interesting article. It is about Judge's expected total number of home runs.



Reporter Andrew Simon, who wrote the article, approached Judge's expected home run through various data and mathematical methods. The discussion is complicated, so let's skip it and just summarize the contents of 'Age'.

'300 Home Run'Jersey 500 Home Run → When will it reach 600 Home Runs? Based on the mathematical probability
Aaron Judge celebrating right after he hit 300 home runs. AFP Yonhap News
Judge made his major league debut on August 14, 2016, in a home game against the Tampa Bay Rays. At that time at Yankee Stadium, Judge started as the eighth right fielder and played two hits, one RBI, and two runs in four at-bats. In particular, he drew attention by hitting a home run in the bottom of the second inning, his debut at-bat, without a runner after two outs. He hit the fourth pitch of the opposing right-hander Matt Andries and went well over the middle fence. It was a large arch with a launch angle of 27 degrees, a batting speed of 108.8 miles, and a distance of 446 feet. Six years later, it is the moment when a big shot was born that broke the record for the most home runs in 61 years in the American League (AL).



He also hit 300 home runs on the first day of his eight-year career. Born in April 1992, Judge was about 24 years and 109 days old when he debuted. Among the 28 players who hit more than 500 home runs in history, Mike Schmidt is the oldest player to debut. He made his debut against the New York Mets on September 13, 1972, when he was 22 years and 351 days old, and hit a career-high 548 home runs. The average age of 28 debutants is 20 years and 232 days. Therefore, Judge's debut age is 3 years and 242 days older than these averages.

Alex Rodriguez is the youngest at 27 years and 249 days when he achieves 300 home runs, and 11 out of 28 reached 300 home runs before the age of 30. Only five hit 300 home runs after his 32nd birthday like Judge. Gary Sheffield, Ted Williams and Mark McGuire hit 300 home runs in the 32-year-old season, and David Otis and Raphael Palmeiro hit 300 home runs in the 33-year-old season.

Compared to the members of the 500 Home Run Club, Judge's debut was more than three years late, but when he reached 300 Home Runs, the gap was drastically reduced. The key is how many home runs Judge will hit by the 39-year-old season in 2031, when his nine-year, $360 million contract ends.

Nelson Cruz (260), Otis (214), and Jim Tommy (208) have the most home runs since Barry Bonds, who led the steroid era. The FanGraphs predict Judge will hit 11 home runs and end the season. In other words, the number of home runs in the season is 54.

There are 189 remaining until the 500 home runs, and if an average of 48 are applied for four seasons from 2021 to 2024, it can be reached in the second half of 2028, based on the premise that they hit 54 this year. In addition, Judge may continue his active career after the end of this contract. Reporter Simon put these data together and calculated that Judge had an 82% probability of reaching 500 home runs and a 37% probability of 600 home runs.



jhno@sportschosun.com