Surviving 27 Outs: A Data‑Driven Look at Perfect Games
I don’t think there’s a more celebrated feat in baseball than a perfect game. There are rarer feats, such as four home runs in one game (21 times) or 20 strikeouts in a 9-inning game (only five times), but I think what separates a perfect game is it’s less about matching a numeric record and more about accomplishing literal perfection. In a sport loaded with failure and random variation, a perfect game is not only pretty awesome by definition but also incredibly rare. There have only been 24 perfect games in history (including one in the playoffs by Don Larsen in 1956). Think about the 150+ years of baseball and hundreds of thousands of starts it took to accomplish those 24.
To gain some appreciation, I wanted to calculate just how
rare it is to accomplish a perfect game, out-by-out. How rare is it to even get
half-way through a perfect game? How many outs do you have to be perfect
through to have accomplished better than 99% of starts? Furthermore, of those
starts that were perfect through x outs, how many were ultimately converted to
a perfect game? How late in a game must a pitcher be perfect through to believe
they have a real shot at finishing it?
To get my dataset, I pulled all regular season plays from
1920-2025. I pulled after 1920 because some of the early play-by-play data from
Retrosheet is incomplete, and 1920 is a nice “era” year to begin with for the
Live Ball Era. Apologies to Lee Richmond (1880), John Montgomery Ward (1880),
Cy Young (1904), and Addie Joss (1908) for filtering out their perfect games,
as well as Don Larsen. That leaves us with 19 perfect games. I then had to
filter my play-by-play dataset to just the pitchers who started the game, and
then calculate the maximum out that they were perfect through before losing
their perfect game bid. In total, we’re looking at 379,815 starts.
My favorite outs to look at here are outs 0 and 27. Of course,
every single start is perfect to start the game, and the percentage of all
starts to be perfect is 0.005% (19/379,815). Out number 27 should hypothetically
reflect this right? If 0.005% of all starts were perfect, then how come 0.006%
were perfect through 27 outs? There are two instances where a pitcher was
perfect through 27 but did not throw a perfect game. In 1959, Harvey Haddix was
perfect through 12 innings, before losing the perfect game when the leadoff
batter of the 13th inning reached on an error and ultimately lost
the game three batters later on a walk-off double. Pedro Martinez in 1995 was
the next instance, when he was perfect through 9 innings before giving up a hit
to leadoff the 10th inning. 19 perfect games plus these two near-perfectos
leads to 0.006% (21/379,815).
So when does perfect game bid become “worth it” to tune in?
Obviously that is subjective, but in order to exceed a 10% chance, you’re already
looking at seven complete innings. Even then, there have only been 144 starts
to go perfect that long, so don’t hold your breath for it to happen again soon.
There have been 12 instances where a pitcher was perfect
through 8.2 innings before losing it. Two of those pitchers, Milt Pappas in
1972 (lost on a walk) and Max Scherzer in 2015 (lost on a controversial HBP),
went on to complete no-hitters at least. Other recent instances include Yu
Darvish and Yusmeiro Petit in 2013, and perhaps most famously, Andres Galarraga
in 2010. Some other no-hitters that were nearly perfect include Carlos Rodon in
2021 and Jack Kralick in 1962 (perfect through 8.1).
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