[nostromo]

You're correct in the narrow sense (a commercial flight is less likely to crash) but wrong on the big picture (a commercial flight is safer for passengers).

Here's the thing: we don't care about the number of crashed airplanes, we care about crashed people (the number of deaths). And the number of deaths is about the same per passenger mile flown.

Passengers are no safer in either form of flying, according to this source.

[nkurz]

It's worth getting to the bottom here, but like 'jacquesm' I think you are misinterpreting the data.

And the number of deaths is about the same per passenger mile flown.

Deaths per passenger mile is indeed the relevant metric, but this is not the number which is equal. Instead, the deaths per airplane mile are about equal. Since the commercial flights tend to have many more passengers, the passenger miles denominator will be greater by this ratio.

From a passenger's perspective, commercial flights are thus safer than private planes by this same ratio. I don't think the linked article gives enough information to calculate the ratio of passenger miles for GA and commercial, but 50x seems like it would be in the ballpark.

[apkostka]

Why would we care about the number of crashed people? You said it yourself, the number of deaths for commercial flight is higher because there are more people on board. If I'm on a plane, I don't care about how likely I am to be one of the people who died in airline crashes this year, I care about how likely it is that this plane is going to crash.

[nostromo]

I understand it's not intuitive, but the statistics are clear: If you have 100 times more people on commercial flights, then the flights would have to be 100 times less likely to crash to have the same risk to each passenger.

Let's break this into two specific questions (assuming the source is correct):

1) How likely is it that a specific flight will crash?

Answer: it's more likely that a private flight will crash than a commercial flight.

2) How likely is it that I will die on a private vs commercial flight?

Answer: your likelihood of dying is the roughly the same for both private and commercial flights.

[apkostka]

I'm not sure you're reading the replies here. Nobody is arguing that your likelihood of dying is significantly higher on a private flight. We're arguing that the thing you should care about is whether the specific flight that you are on will crash, which has a significantly higher likelihood in general aviation.

[nkurz]

Nobody is arguing that your likelihood of dying is significantly higher on a private flight.

I might be wrong, but this is indeed what I am arguing, and I think 'jacquesm' is saying the same. 'nostromo' says your likelihood of dying is the roughly the same for both private and commercial flights, and I don't think this is true if the metric is getting from point A to point B without dying.

If my memory of previous research is correct, a passenger on a private plane has approximately the same risk per mile travelled as a passenger on a motorcycle[1], which is something much greater than the risk per passenger mile of a normal automobile, which is in turn something significantly riskier than traveling the same number of miles by a commercial jet.[2]

We're arguing that the thing you should care about is whether the specific flight that you are on will crash, which has a significantly higher likelihood in general aviation.

Yes, each flight you take in a private plane is significantly more likely to end in a crash than each flight you take on a commercial airline. Your chances of being killed if the plane is involved in an accident are greater in a private plane (fatalities per accident are greater on the commercial flight, but risk to each passenger is lower). Therefore, your chances of dying per flight taken are greater in private flight than in commercial aviation. Is this the same as what you are saying?

[1] Edit: Found a seeming good source at http://www.nianet.org/ODM/presentations/Overview%20SVO%20Ken..., page 8. Looks like I was slightly wrong to say that motorcycles and GA are comparable risks. If we trust their estimates, motorcycles are about 2x more dangerous per hour than GA, and 3x more dangerous per mile.

[2] I put the specific numbers from in my other comment here: https://news.ycombinator.com/item?id=10781106

[nostromo]

Keep in mind the context of this conversation is about regulation, not about individual decision making.

From an individual stand-point, you are correct: "will my flight crash?" is a question that the individual would ask. But from a regulatory stand-point, the question is, "what is the safest way to transport people?" and those questions are not the same statistically.

This is similar to Taleb's "black swans" conundrum. You're comparing likely events with small ramifications to unlikely events with large ramifications.