Quantifying Dinosaur Pee
summary
Back-of-envelope estimates and compounding models peg roughly ≈3.11% of Earth’s water as untainted by dinosaur pee in one model, while an alternate bird-based consumption model multiplies the rate by ten and still leaves on the order of tens of liters in some scenarios; the probability that every water molecule is dinosaur pee is astronomically small (many zeros before the first 1), one intermediate result equals 1/e, and numerical work highlights continuous vs discrete models and underflow/precision limits (long double breaks).
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