Lemma
DeepContinuous distributions
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.4 Probability and Calculus, #35 · Probability · Continuous distributions

(c) Explain why … is approximately

A thousand people try independently to guess a number between 1 and 1000. This is like a lottery.

(a) What is the chance that the first person fails?

(b) What is the chance that they all fail?

(c) Explain why is approximately .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.4 Probability and Calculus, #35

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