[FooBarBizBazz]

Mildly interesting: If lifetimes were exponentially distributed (they're not, of course), they'd have a well defined mean, but your future life expectancy would never change. If the mean were 90 years old, and you were 102, you could still expect another 90 years. I bring this up because it's sort of the extreme spherical cow version of what you're saying.

[viknesh]

Neat fact! I guess that's basically Martingales for life expectancy?

[FooBarBizBazz]

Yeah, I don't think about Martingales a lot, but after reviewing the definition -- this literally is one.

In discrete time it's very simple; you just roll the dice every day, and if they come up snake eyes, Zeus smites you with a lightning bolt.