keyboard_arrow_uptop
Image credit: © Reinhold Matay-Imagn Images

Flip a coin 10 times and you’ll probably come up with a combination of heads and tails. Probably. But not always. On rare occasions, you might get heads 10 times in a row. The odds against it are 1,024 to 1. Your chances of getting 10 consecutive heads are small, but not vanishingly small. It’s entirely possible. You want to know what’s almost impossible? The odds of winning Powerball are one in 292,201,338. Your chances of getting heads 28 times in a row are better. But people still play Powerball. They’re not dissuaded by the odds.

That’s because sometimes really unlikely events occur. Here at BP, we calculate projected standings using PECOTA, our proprietary model. But PECOTA, like all projection systems, has error bars around it. You can see them if you scroll down past the numbers on the standings page. When we produce projections for a team’s win total, or a player’s OPS, we’re not saying they’ll hit it exactly. Rather, we’re saying that’s the likeliest outcome. Each estimate has an implied plus-or-minus factor. Stack a few of those pluses and minuses atop one another, and you can get some pretty big outliers.

I got the idea for this analysis from this 2016 article by Sam Miller, in which he ran a million full-year simulations and noted some of them. All of them had, by definition, at least a one-in-a-million chance of occurring. For the sixth year, I’m doing the same here, using 100,000 simulations. That’s a lot of projections*! Let’s look at some of the most noteworthy ones.

Play It Again: Sim 29992

Last year, the Yankees, Guardians, Astros, Phillies, Brewers, and Dodgers won their divisions. The Orioles, Royals, Tigers, Braves, Mets, and Padres were the wild card teams. There were only 14 simulations that wound up with the same division champions, none that had the same 12 clubs playing in October. But Sim 29992 featured the same postseason combatants in the Senior Circuit.

NL East W   NL Central W   NL West W
Philadelphia 88 Milwaukee 97 Los Angeles 102
New York 85 Pittsburgh 83 San Diego 86
Atlanta 84 Chicago 76 San Francisco 79
Washington 82 Cincinnati 73 Arizona 75
Miami 68 St. Louis 72 Colorado 65

On Second Thought, 2024 Wasn’t All That Great: Sim 16292

There isn’t a sim in which none of the 12 postseason teams repeat. That’s not surprising; when 40% of all teams make the playoffs, the odds of all of them dropping to the lower 60% approach zero. But in sim 16292, only the Dodgers and Braves get into the playoffs.

AL East W   AL Central W   AL West W
Toronto 97 Minnesota 93 Texas 104
Tampa Bay 96 Chicago 77 Los Angeles 89
New York 74 Detroit 77 Seattle 82
Baltimore 71 Kansas City 74 Houston 79
Boston 70 Cleveland 71 Sacramento 71

 

NL East W   NL Central W   NL West W
Atlanta 95 Chicago 91 Los Angeles 106
Philadelphia 85 St. Louis 86 San Francisco 89
New York 84 Milwaukee 81 Arizona 86
Washington 70 Pittsburgh 7 5 San Diego 78
Miami 57 Cincinnati 68 Colorado 54

 

Cue The Salary Cap Diatribes: Sim 19637

Per Cot’s Contracts, the 10 teams with the highest payrolls are the Dodgers, Mets, Phillies, Yankees, Blue Jays, Rangers, Astros, Braves, Padres, and Angels, in that order. Sim 196374 sees that as money well-spent. Probably too well-spent for some.

AL East W   AL Central W   AL West W
New York 90 Minnesota 92 Houston 104
Toronto 87 Detroit 81 Texas 93
Baltimore 83 Kansas City 76 Los Angeles 87
Tampa Bay 83 Cleveland 75 Sacramento 85
Boston 82 Chicago 57 Seattle 79

 

NL East W   NL Central W   NL West W
Atlanta 99 Chicago 100 Los Angeles 104
Philadelphia 88 Milwaukee 80 San Diego 87
New York 87 St. Louis 74 Arizona 86
Washington 63 Cincinnati 70 San Francisco 72
Miami 53 Pittsburgh 67 Colorado 47

The playoffs would consist of the 10 teams with the highest payrolls, averaging about 93 wins each, plus two Central Division champions. If the Cubs and Twins exit early, the narratives will be excruciating.

In Fact, They’ll Be Really Loud: Sim 57073

The two teams that garnered the most headlines this winter were the Mets, for signing Juan Soto, and the Dodgers, for signing everyone else. Sim 57073 adds fuel to the rein-them-in fire. (Of course, if you limit their payrolls without also reducing their revenues, they’ll just make even more money.)

NL East W   NL West W
New York 114 Los Angeles 113
Atlanta 96 Arizona 87
Philadelphia 88 San Diego 77
Washington 72 San Francisco 76
Miami 55 Colorado 57

The Vanishing Middle Class: Sim 34530

Eleven teams with 100 wins or losses (italicized).

AL East W   AL Central W   AL West W
Toronto 90   Minnesota 100 Texas 96
Tampa Bay 85 Cleveland 85 Houston 88
New York 84 Kansas City 81 Seattle 86
Boston 83   Detroit 62 Los Angeles 80
Baltimore 80 Chicago 54 Sacramento 74

 

NL East W   NL Central W   NL West W
Atlanta 102 Chicago 102 Los Angeles 107
New York 102 Pittsburgh 80 Arizona 86
Philadelphia 90 Milwaukee 76 San Diego 85
Miami 59 St. Louis 71 San Francisco 78
Washington 58 Cincinnati 62 Colorado 44

The Burgeoning Middle Class: Sim 92829

No team with over 93 wins or 95-losses. All but one American League team within 10 games of .500.

AL East W   AL Central W   AL West W
Tampa Bay 89 Minnesota 87 Los Angeles 88
Boston 86 Detroit 85 Texas 87
New York 82 Kansas City 79 Seattle 81
Baltimore 80 Cleveland 76 Houston 76
Toronto 78 Chicago 67 Sacramento 71

 

NL East W   NL Central W   NL West W
New York 92 Chicago 89 Los Angeles 93
Philadelphia 89 Milwaukee 83 San Diego 93
Atlanta 88 St. Louis 79 Arizona 83
Washington 74 Pittsburgh 77 San Francisco 72
Miami 70 Cincinnati 71 Colorado 67

Urban Dominance: Sim 9738

The three largest metropolitan areas in the U.S. are New York, Los Angeles, and Chicago. In sim 9738, they all do pretty well. This is not a small task, given that Los Angeles and Chicago each have one pretty bad ballclub.

AL East W   AL Central W   AL West W
New York 96 Minnesota 93 Texas 94
Toronto 91 Kansas City 84 Los Angeles 88
Baltimore 86 Chicago 71 Houston 84
Tampa bay 82 Detroit 67 Seattle 84
Boston 73 Cleveland 65 Sacramento 67

 

NL East W   NL Central W   NL West W
New York 110   Chicago 83   Los Angeles 108
Atlanta 87 Milwaukee 83 Arizona 93
Philadelphia 87 Pittsburgh 80 San Francisco 85
Miami 56 St. Louis 77 San Diego 82
Washington 51 Cincinnato 76 Colorado 49

Only the White Sox would miss the playoffs.

Urban Non-Dominance: Sim 98716

The big markets fare a lot worse in Sim 98716.

AL East W   AL Central W   AL West W
Boston 95 Minnesota 93 Seattle 93
Tampa Bay 85 Cleveland 82 Houston 92
Baltimore 83 Detroit 81 Texas 91
Toronto 80 Kansas City 81 Los Angeles 70
New York 77   Chicago 56 Sacramento 67

 

NL East W   NL Central W   NL West W
Philadelphia 97 Milwaukee 90 Arizona 97
Atlanta 89 Pittsburgh 80 Los Angeles 93
New York 79   Chicago 79 San Diego 89
Washington 74 Cincinnati 76 San Francisco 71
Miami 58 St. Louis 75 Colorado 58

The Dodgers are, of course, like Thanos, inevitable. But none of the other large-market teams have a winning record, much less make the playoffs.

Break Up the Small Markets: Sim 49741

The smallest metropolitan areas in MLB are Milwaukee, Cleveland, Kansas City, Cincinnati, Pittsburgh, and Sacramento. If that’s a disadvantage, you wouldn’t know it by sim 49741.

AL East W   AL Central W   AL West W
New York 94 Minnesota 95 Houston 92
Baltimore 87 Cleveland 87 Sacramento 88
Toronto 83 Kansas City 87 Los Angeles 86
Tampa Bay 79 Detroit 73 Seattle 81
Boston 76 Chicago 64 Texas 77

 

NL East W   NL Central W   NL West W
Philadelphia 93 Milwaukee 88 Los Angeles 104
New York 87 Pittsburgh 85 Arizona 81
Atlanta 86 Chicago 84 San Francisco 80
Miami 56 Cincinnati 79 San Diego 72
Washington 54 St. Louis 73 Colorado 59

Depending on how the AL tiebreaker goes, four or five of the six small-market teams would make the playoffs. Only three of the big-market teams would.

Jerry Reinsdorf Makes History, Version 1: Sim 396

AL Central W
Chicago 85
Minnesota 84
Kansas City 82
Cleveland 79
Detroit 69

No team has ever gone from 120-plus losses in one season to a postseason berth in the next. Until now.

Jerry Reinsdorf Makes History, Version 2: Sim 77481

AL West W
Minnesota 96
Kansas City 88
Cleveland 82
Detroit 76
Chicago 38

No team has ever gone from 120-plus losses in one season to an even worse record in the next. Until now.

 

To Which the Rockies Laugh Derisively: Sim 17920

NL West W
Arizona 102
Los Angeles 98
San Diego 90
San Francisco 80
Colorado 28

You could say, “Well, they play in the same division as the Dodgers,” except the sim has the Dodgers failing to win 100 games for only the third time since 2017 (excluding 2020). A 28-134 record, a .173 winning percentage, would be the worst since the formation of the American League in 1901. The only full-season teams worse were the 20-134 1899 Cleveland Spiders and the 23-113 1890 Allegheny City (Pittsburgh) club, which was so bad it didn’t get a nickname.

ESPN Quietly Re-Ups for Sunday Night Baseball: Sim 3516

AL East W
New York 98
Boston 97
Toronto 89
Baltimore 82
Tampa Bay 73

That Sunday night timeslot doesn’t have a lot of competition, and we know how ESPN will fill it. Over and over and over.

Juan Soto Has Regrets: Sim 5716

AL East W   NL East W
New York 100 Philadelphia 93
Baltimore 98 Atlanta 91
Toronto 87 Washington 73
Boston 84 New York 68
Tampa Bay 79 Miami 64

 

Or Maybe He Made the Right Call: Sim 51013

AL East W   NL East W
Toronto 89 New York 117
Baltimore 87 Philadelphia 87
Boston 77 Arizona 81
Tampa Bay 76 Miami 70
New York 72 Washington 57

 

And All the Teams are Above Average: Sims 28152

There were 7,909 sims that had every team in a division above .500. Here’s the best.

AL East W
New York 96
Tampa Bay 95
Toronto 92
Baltimore 90
Boston 90

And All the Teams are Below Average: Sim 42334

Congratulations to American League Central champion Kansas City Royals!

AL Central W
Kansas City 74
Cleveland 69
Detroit 69
Minnesota 69
Chicago 59

The Royals would play the loser of the tiebreaker between the 86-76 Orioles and Astros in the wild card round, which would be watched at home by the 84-win Rays and 80-win Angels.

Once Again, the Battleground States Determine the Outcome: Sim 3424

The battleground states in the 2024 Presidential election were Wisconsin, Michigan, Pennsylvania, Arizona, Georgia, Nevada, and North Carolina. The latter two don’t have MLB teams. In Sim 3424, representatives of the other five states win their division.

AL East W   AL Central W   AL West W
New York 94 Detroit 90 Seattle 98
Baltimore 93 Cleveland 83 Houston 90
Tampa Bay 83 Minnesota 82 Texas 88
Toronto 74 Kansas City 79 Los Angeles 66
Boston 70 Chicago 66 Sacramento 60
NL East W   NL Central W   NL West W
Atlanta 97   Pittsburgh 85   Arizona 97
New York 82 Milwaukee 85 Los Angeles 94
Philadelphia 81 Chicago 85 San Diego 91
Miami 66 Cincinnati 79 San Francisco 81
Washington 60 St. Louis 79 Colorado 52

I’ll bet you didn’t have the Pirates as the Pennsylvania team that wins its division. And, yes, the Brewers and Pirates tied, and who knows how the tiebreaker with the Cubs would work out. But a swing state team can plausibly claim to have won two-thirds of divisions.

The Aesthetically Pleasing Sims 87105, 98100, and 30773

Can you detect the pattern? Here is sim 87105:

AL East W   NL Central W
Baltimore 95 Chicago 85
Boston 86 Cincinnati 84
New York 82 Milwaukee 82
Tampa Bay 79 Pittsburgh 77
Toronto 78 St. Louis 75

The teams are in alphabetical order, by city. The NL Central configuration occurred 1,654 times and the AL East one 421 times. There were only six occurrences of a Houston-Los Angeles-Sacramento-Seattle-Texas AL West, and only one each of Chicago-Cleveland-Detroit-Kansas City-Minnesota and Atlanta-Miami-New York-Philadelphia-Washington. It seems that 2025 is not the year for Arizona-Colorado-Los Angeles-San Diego-San Francisco; it didn’t occur. This should not surprise you.

This is sim 98100:

AL East W   NL West W
Blue Jays 91 Diamondbacks 104
Orioles 86 Dodgers 97
Rays 82 Giants 86
Red Sox 81 Padres 76
Yankees 80 Rockies 57

Alternatively, check out sim 30773:

AL Central W   NL Central W
Guardians 88 Brewers 84
Royals 86 Cardinals 82
Tigers 83 Cubs 81
Twins 80 Pirates 78
White Sox 60 Reds 77

In those sims, the teams finish in alphabetical order by nickname. That AL East configuration occurred 770 times, AL Central 728, NL West 418, NL Central 274. There were no Angels-Astros-Athletics-Mariners-Rangers or Braves-Marlins-Mets-Nationals-Phillies finishes.

Will They Take Down the Billboards? Sim 69364

Probably not.

NL Central W
Pittsburgh 106
Chicago 82
Milwaukee 82
Cincinnati 78
St. Louis 69

 

The Absolute Best Sim I’ve Ever Seen: Sim 61389

In past years, I’ve highlighted sims in which there were four-way ties for first in divisions. There were several this time as well: 19 in the AL East, four each in the AL West and NL Central, three in the AL East. But I’ve never seen this before:

AL East W
Baltimore 81
Boston 81
New York 81
Tampa Bay 81
Toronto 81

Please let this come true. This is the sixth year I’ve done this, and this is absolutely the best outcome imaginable.

So You’re Telling Me There’s a Chance: Sims 65736, 60860, and 11585

When you run 100,000 simulations of a season, you get a lot of outcomes. But not every one possible! There are two outcomes that didn’t occur in any of our simulations: Dodgers last and Rockies first. That doesn’t mean they won’t happen (though they won’t). It just means that, per PECOTA, the chance of them happening is less than 1 in 100,000.

But there were three results that exactly hit that 1 in 100,000 threshold. Here are the results that have a 0.001% chance of occurring:

Sim 65736: Rockies finish second

NL West W
Los Angeles 113
Colorado 79
Arizona 76
San Diego 75
San Francisco 73

Sim 60860: Braves finish last

NL East W
New York 96
Philadelphia 88
Miami 73
Washington 72
Atlanta 71

That race for third will really capture the public imagination.

Sim 11585: Marlins finish first

NL East W
Miami 86
New York 85
Atlanta 83
Philadelphia 75
Washington 68

This could really put a crimp in the plans of all those teams expecting to trade for Sandy Alcantara before the deadline.

As Predicted by My Birdfeeder

There were 6,895 simulations in which the Blue Jays had more wins than the Cardinals and the Cardinals had more wins than the Orioles. As anyone who owns a birdfeeder frequented by those three species knows, that’s how it goes in the avian world as well. Cardinals, while shy and gentle, have a size advantage over orioles. Blue jays are much larger birds and, frankly, big jerks who don’t like sharing the feeder.

Odds and Ends

The five most common outcomes were Rockies last (99,162 occurrences), Dodgers first (96,069), White Sox last (92,043), Cubs first (84,136), and Marlins last (81,382). The hardest team to predict is the Rays: 14.0% first, 18.1% second, 21.2% third, 23.9% fourth, 22.8% fifth. The single most common divisional finish was Dodgers, Diamondbacks, Padres, Giants, Rockies, which occurred in 34.6% of simulations. The toughest-to-predict division was the American League East, where the most common finish (Orioles, Blue Jays, Yankees, Rays, Red Sox) occurred only 2.1% of the time.

Thanks to Robert Au for running these simulations, and thanks to Baseball Prospectus for footing the bill for the computing time necessary to complete them.

*Yes, I know, the Jules Verne science fiction novel whose title I’m stealing describes 20,000 leagues. We’re giving you five times as many leagues for your subscription!

Thank you for reading

This is a free article. If you enjoyed it, consider subscribing to Baseball Prospectus. Subscriptions support ongoing public baseball research and analysis in an increasingly proprietary environment.

Subscribe now
You need to be logged in to comment. Login or Subscribe
Joel Rollins
3/26
Fun stuff. How do Rockies finish second when SF has 83 wins? Or is that a typo? Thanks!
Rob Mains
3/26
Two traditions: My 100,000 sims article. I screw up at least one transcription from the spreadsheet. Thanks for noting it Joel; fixed.
cel10e
3/26
This is one of my favorite articles of the year. Here's hoping for that glorious AL East all-81 finish.
Rob Mains
3/26
I did a search to find all instances of four-way ties but I accidentally keyed in five first-place finishes and am I ever glad I did.
jsdspud
3/26
I agree with CEL10E. I love reading this.

How many times do the Pirates make the playoffs?
Rob Mains
3/26
They win the division 2,988 times. They finish in the top six in the league (other than finishing first) 5,722 times. That's not quite the same as qualifying for the playoffs because it includes ties which they may lose. But the total is 8,710 times, our 8.71%. As of today, we're listing their playoff odds at 8.9%. Close enough.
xero
3/26
Love these, always fun.
Rob Mains
3/26
Thanks for reading!
Llarry
3/26
The ultimate Bucs' fan dream: 69364, and Nutting decides to leverage the result to sell the team...
Rob Mains
3/26
THEN the billboards would come down.
Idli Amin, The Last King of Sambar
3/26
Sim 51013, with the Mets breaking the all-time (modern?) win record with 117 is glorious (as are the others with the Mets winning 110+ games). But there must be sims with a team—probably the Dodgers—winning more?
Rob Mains
3/26
Yeah, I didn't include them because the Rockies 28-134 kind of blots out everything. But there were two Dodgers sins in which they won 127, five in which they won 126, 14 in which they won 125, 17 in which they won 124, 43 in which they one 123, 67 in which they won 122, 132 in which they won 121, and 208 in which they won 120. Also one Braves sim and one Mets sim in which they won 121, and one for each in which they won 120. But the extreme outlier: Sim 34183, Dodgers 133-29, they win the division by 46 games.
Obi Nick
3/26
Among the articles I look forward to EVERY year! Amazing stuff! Go sim 92829: Angels win something! I'm also rooting for the entire AL EAST to get 81 wins LOL
Rob Mains
3/27
Glad you enjoy it!
deadheadbrewer
3/27
Always one of my favorite annual articles. Please consider making it into a Twilight Zone- or Black Mirror-style sci-fi show.
Rob Mains
3/27
AL East 81-81 would certainly qualify.
Jack O'Lantern
3/27
Why is it so hard to see Atlanta last? If Strider and Acuna don’t come back, they’re thin both ways. The Marlins are bad but not that bad.
Craig Goldstein
3/28
The Marlins are incredibly bad.