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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.

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