u/UIUCTalkshow

What is the probability of dying as a Metra passenger? About 1 in 450 million passenger trips — math below

What is the probability of dying as a Metra passenger? About 1 in 450 million passenger trips — math below

Do you ever take the Metra and think about the probability of your own death?

For some reason, I do.

Below, I tried to calculate the historical risk using passenger deaths inside Metra trains. I'm not including pedestrians, drivers, or people outside the train.

First things first: has anyone ever died as a passenger in a Metra crash?

As far as I can find, there have been three passenger deaths in Metra's crash history, but only two fatal passenger crashes.

The first was the 2005 Rock Island derailment near the 47th Street bridge, where two passengers were killed, and more than 100 people were injured.

https://preview.redd.it/fnfk49m8542h1.png?width=1272&format=png&auto=webp&s=e52d6ab06a30bfa3914dcc886b797954e5b0b4d2

The second was the 2022 Clarendon Hills BNSF crash, where a Metra train hit a stalled box truck at a crossing, and one passenger was killed.

https://preview.redd.it/ktpoyp56542h1.png?width=1356&format=png&auto=webp&s=874060e3e80fe1e13900a5e2d63c1eff702b03a4

Metra spokespeople told local media after the 2022 crash that Clarendon Hills was only the second accident in Metra history to kill a passenger.

Now that we know that, we need to know the number of passenger trips!

Metra reported about 74.0 million passenger trips in 2019, then COVID crushed ridership: 18.6 million in 2020, 14.1 million in 2021, 23.7 million in 2022, 32.0 million in 2023, about 35 million in 2024, and about 38 million in 2025. This was really surprising to me, even by 2025, Metra was still only around 51–52% of its 2019 ridership. Yikes!

https://preview.redd.it/03pin1yb542h1.png?width=1794&format=png&auto=webp&s=4d63d900f0d5f095dcd894d237424d4cf88eaa4f

Metra’s 2018 ridership report said approximately 90% of passenger trips were for work, so work-from-home and hybrid work hit the system extremely hard!!

The Math

Known passenger deaths in Metra train crashes:

2005 Rock Island derailment:       2 passenger deaths
2022 Clarendon Hills crash:        1 passenger death
Total:                             3 passenger deaths

Passenger trips from 2005 through 2025.

For the pre-COVID years, Metra was generally around an 80-million-trips-per-year railroad. Metra’s 2018 report says 2018 had about 76.1 million trips and was comparable to 2005, and the late 2000s / 2010s were generally in the high-70-million to mid-80-million range.

So a simple estimate:

2005–2019: 15 years × about 80 million trips/year
          ≈ 1.20 billion passenger trips

2020–2025: 18.6M + 14.1M + 23.7M + 32.0M + 35.1M + 38.1M
          ≈ 161.6 million passenger trips

Total 2005–2025:
          ≈ 1.20B + 0.162B
          ≈ 1.36 billion passenger trips

Now we can divide by the known passenger deaths:

3 deaths / 1.36 billion passenger trips
= 0.0000000022 deaths per trip

In other words, 1.36 billion passenger trips / 3 deaths ≈ 453 million passenger trips per death

So a (very) rough historical rate is: about 1 passenger death per 450 million Metra passenger trips

Or:

≈ 1 in 450,000,000
≈ 0.00000022% per passenger trip

Again, this might not be super accurate. And you probably shouldn't take it as a prediction. Thankfully, the sample size is tiny (three deaths total).

Two More Things:

What is the most dangerous car to be in?

It depends on the crash type.

In the 2022 Clarendon Hills crash, the train hit a stalled box truck at a grade crossing. The truck struck the right side of the lead cab car, damaging the lower-level seating area. The passenger who died was seated in that lead cab car near the sidewall where the truck hit. In that kind of crash, yes, the front car can be the dangerous place.

https://preview.redd.it/8nn7odzf542h1.png?width=1410&format=png&auto=webp&s=198f9a2b6bf615959b576fdce14a99da46c1dc28

But in the 2005 Rock Island derailment was different. The train entered a 10 mph crossover at about 69 mph, derailed, and the major fatal damage happened when the fourth car struck the bridge structure.

https://preview.redd.it/b5hc5znj542h1.png?width=1420&format=png&auto=webp&s=39f8a72e469bddd9343388f55037a15a4374e4cb

So the "riskiest car" depends on the geometry of the crash...a truck hitting the train at a crossing can make the first car the worst place, but a derailment near a bridge, wall, or other structure can make the middle cars worse.

Important notice

Metra is extremely safe, and it seems to me they have learned from every mistake. I'll give you an example. The 2005 crash was an overspeed derailment. The National Transportation Safety Board said the lack of Positive Train Control contributed to that crash. So now Metra says all of its lines and trains are equipped with Positive Train Control, which is this really cool system designed to automatically stop trains in certain dangerous situations.

Of course, Positive Train Control isn't going to magically remove a stalled truck from a crossing, which is what happened in the 2022 Clarendon Hills crash.

The End: Metra is pretty safe, and the probability of dying as a passenger is extremely low

For passengers inside the train, fatal Metra crashes are extraordinarily rare. And based on the public record, your odds of dying as a passenger are roughly:

💀 1 in 450,000,000 per trip

So statistically, you are far more likely to miss your stop because you fell asleep than die in a Metra crash.

Anyways, happy Metra Riding!

🚆🚆🚆

P.S. Metra, if you’re reading this: you’re pretty great, but please make the trains faster. I should not have enough time between Naperville and Union Station to reconsider every life decision I’ve ever made.

Sources / read more

[1] ABC7 Chicago report on the 2022 Clarendon Hills crash, including Metra’s statement that it was the second Metra accident to kill a passenger. (ABC7 Chicago)
[2] NTSB report on the 2022 Clarendon Hills BNSF crash. (NTSB)
[3] NTSB report on the 2005 Rock Island derailment. (NTSB)
[4] FRA/Volpe reconstruction of the 2005 derailment, including the fourth-car fatal injury mechanism. (ROSA P)
[5] Metra/APTA ridership figures for 2019–2025. (Wikipedia)
[6] Metra 2018 ridership report, including the note that about 90% of trips were work trips. (metrarail.com)

Other interesting links:

Metra Ridership and On-Time Performance: https://metra.com/ridership-and-on-time-performance

Metra Annual Reports: https://metra.com/budget-and-financial-statements

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u/UIUCTalkshow — 2 days ago
▲ 95 r/UIUC

i opened my email expecting "exam postponed, hang tight" and instead got assigned Hayek and a history lesson about university presidents from 1904

https://preview.redd.it/wjdh492taj0h1.png?width=500&format=png&auto=webp&s=a806aa3c558ed58e50f0fceaafd363e535de3553

full email below. this man is NOT okay and i've never respected anyone more

------------------------------------------------------------------------------------------

Dear Students,

As before, I have received too many emails to be able to reply to them all individually, so I will try to address the most common issues here.

I can confirm that the Box folder has been working correctly and is accessible.  You do need to log in using your U of I account.  In the past when students have had issues logging into websites using their university account, tech services has given this suggestion: "Try using an incognito/private browser window and deleting all cookies, history, and cache data.  If you're on mac please clear all university passwords from keychain access."

If you have a flight scheduled, I recommend that you take it.  The university may say that we are "postponing" the exams, but this is not accurate.  Final exams cannot be postponed, because there is a limited amount of time before the end of the term, and there are already other final exams scheduled during that time.  Beyond that, we all have plans.  Flights, internships, jobs, and other summer plans do not wait for the provost's approval, any more than the changing of the seasons does.  "Wait until Sunday" is an easy thing for one person to say, but we all have lives to live.  No matter what the university decides on Sunday, I cannot require you to be physically present on campus past the originally scheduled exam date.  Whatever solution I am allowed to implement, it will account for this.

The provost's order to instructors is as follows: "All exams, assessments, and related instructional activities are postponed without exception.  Individual instructors may not proceed independently or create alternate arrangements.  The campus directives apply to all classes, and compliance is expected across the board."  This means that no exams may be given on Friday, Saturday, or Sunday, regardless of the format or modality of the exam, and regardless of whether the course even uses Canvas.  This includes exams that were scheduled to be taken at DRES TAC.  I have read your emails, and I understand that you have your time at DRES TAC reserved, and you are ready to take the exam.  That is not unique to students registered with DRES.

This is a broader issue, which a large number of you noticed.  As one student put it bluntly: "Hackers aren't stopping us from taking the exam, the provost is."  That is an astute observation.  We are present and ready.  The exams are printed.  Our classroom is waiting.  Clearly, hackers are not the reason we are unable to take the exam today.

There is a good economics lesson here.  In Lesson 2 I described the mistaken belief that order is created through central planning, and the reality that central planning often instead leads to chaos.  What we are facing right now is the ordinary problem of scarcity: we have limited resources (including time), and we need to allocate them.  Clearly there are some classes that are directly affected by the Canvas hack, such as those that administer their exams online through the Canvas system itself.  But it is equally clear that there are some classes that are not directly affected, such as ours, which could have held their exams without any significant issues.  If faculty had been left free to make the best decisions given the specific circumstances of their own courses, most of the exams that were scheduled for today and tomorrow could have proceeded, unhindered by the hacks.  This would contain the harm to a smaller fraction of classes and exams, making it much easier to allocate the limited resources available to address issues specific to those courses.  Instead, all exams were prohibited.  Now we have a campus filled with students ready to take their exams, faculty ready to deliver them, and a long list of empty, unused classrooms, while we all wait for the central planner to make the next decision.  Since there is no central decision that can eliminate scarcity, the inevitable result is that on Sunday we will be told to find some alternate means of assessment, and each instructor will be left to scramble to find an ad hoc solution.  This, after having been prohibited from using the natural and obvious solutions in front of us today.  As is so often the case, centralization in the name of "consistency"--no matter how well-intentioned--leads to more chaos and more injustice.

All this is to say that for those of you who emailed me telling me that you're ready to take the exam today, expressing to me your expectations of doing well on this final exam and increasing your grade, or asking me if there is any reasonable solution, I hear you.  Reasonable solutions are currently prohibited, but as soon as we are allowed to proceed, please trust that my priority is to try to make sure the harm caused by this policy decision is not unfairly shifted to you, the students.

I know many of you probably have plenty of studying to do.  But if you are looking for something academic to read today, to take your mind off of the present circumstances, I can think of no better recommendation than the article "The Use of Knowledge in Society," by economist F. A. Hayek.  If you search, you can find this article for free online at many locations.  Here is one: 

https://german.yale.edu/sites/default/files/hayek_-_the_use_of_knowledge_in_society.pdf

There was a time when our great university was led by economists: Edmund J. James (from 1904 to 1920) and David Kinley (from 1920 to 1930), the greatest presidents in this university's history.  Foellinger Auditorium was built under the leadership of President James, over a century ago.  Today it stands empty.  Perhaps there is a lesson here as well.

Best,
Isaac DiIanni

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u/UIUCTalkshow — 10 days ago