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You’re mostly right, but your comment also assumes independent probabilities rather than correlated probabilities of danger. Sometimes multiple crashes can trace back to the same cause: one particular manufacturing defect on a model of aircraft sold thousands of times, one bad practice on air traffic control procedure, one bad actor targeting multiple aircraft, etc.
Purely hypothetically, as an example, if it turned out that there was a terrorist group targeting aircraft via anti aircraft missiles, then that group’s success at bringing down an airliner would actually worsen the odds of passengers on other aircraft, at least until we receive external information that the threat has passed.
Exactly. Some of the fears that people have are about factors that affect all flights, not just the risk of a single pilot operating a single aircraft.
Flying is still safe and has a strong safety culture built into the industry independent of government regulation, that wouldn’t change overnight even if the government regulators change. But removing a slice of Swiss cheese is still bad, and cause for concern.