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The 'units' command line tool has been part of Unix since Bell Labs, and GNU Units came along in 1997.

Personally I used basic high school geometry knowledge of "what's the area of a sphere", and you could also have just asked WolframAlpha, which also predates LLMs.

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Yet a formula that actually calculates the probability of impact is nowhere to be found in your response. You don’t consider mass, density, velocity, orbits, or anything else for that matter.

The formula is an excercise for the reader, even if my audience was a 14 year old learning about this for the first time. As is figuring out why "mass" and "density" are unimportant.

Might be a valuable lesson in "reading the question carefully" for them, though, as the scenario was: "That’s pretty close when your neighbor just exploded", which is why orbital mechanics can be disregarded in this instance.

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