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What is more dangerous: a plane or a car?
More precise wording:
What is more dangerous for an individual: 1 hour in an airplane or 1 hour in a car?
UPD: Another option: 1 plane flight or 1 car ride (@Moskus).
I have been interested for a long time, and periodically become a witness to such disputes. And the media is raising the hype about disasters (as an example, the recent event at Sheremetyevo). But it never comes down to exact calculations. It's time to put an end to this issue.
I suggest, if possible, to exclude drunk driving. Because if a person asks the question of safety, then, obviously, he will try to reduce the likelihood of an accident. Otherwise, there is no point in proving something to such a person, anyway, he will be sure that a glass of wine will not make the weather. Although you can do two calculation options: with and without.
In general, the question boils down to another: where to get the statistics? For correct calculations, you need not stupidly the number of deaths per year and their causes. And also the time spent driving or on the plane, the number of people and everything else that may be needed for correct conclusions.
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In fact, such a comparison "hour to hour" is extremely synthetic, although legitimate.
For example, in aviation, statistics are considered in the number of accidents or casualties per number of flights, and not hours of flight. This is due to the mechanism of influence of potentially catastrophic circumstances on the possibility of a catastrophe.
For example, in 2018, about 37.8 million flights were made in civil aviation, while one out of 2.52 million was catastrophic. At the same time, 556 people died.
And the number of car accidents is calculated by the length of the run, and not by the number of trips, because the dependence is purely technically different.
Mathematics and statistics are similar sciences, but you need to understand that statistics cost money.
You simply will not be able to collect ideal statistics. Putting an accounting system on all cars is unrealistic.
Approximate statistics exist, and it would be easy for you to google and find that an airplane is safer than a car. A train is safer than an airplane based on the number of passengers.
But counting exactly the mileage is nothing.
Airplanes are currently safer than cars. This is what the statistics say. Despite the fact that all passengers die in a crash, there are much fewer air crashes than car accidents and the number of victims is much lower.
1. We are looking for statistical data on the Internet. I think you can do it.
2. We assume that catastrophes are a Poisson flow of events. Even if not, this thread will give the roughest estimate.
3. We calculate the intensity of our flows according to the formula indicated in any textbook (for our discrete data).
4. Determine the probability of a disaster after 1 hour of travel using the formula. I think you can also find the formula for the Poisson stream (but here is the link https://ru.wikipedia.org/wiki/Event_Stream).
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