Amor Fati Continental and British Airlines
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Andy;
Odds of being in an airplane crash increase simply by being in an airplane, flying through the sky.
Planes crash. Cars crash even more frequently. Do the odds change your travel plans?
Not for me. I don't travel in airplanes often. When I do I enjoy the take off and the landing the most and don't give a thought to crashing. I do travel the highway daily......despite the high incidence of car crashes.
You asked about a gamblers fallacy...
It depends, man. If the plane crashes are truly random and fit within the normal distribution of plane crash, then there is no change for you on your next flight.
However, if your next flight had maintenance performed by the same mechanics as the crashed planes, and it was a maintenance error, then your odds may have changed a smidge.
Good luck.