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e (Euler's number)

Curious fact about euler's number: Pick a uniformly random number in [0,1] and repeat until the sum of the numbers picked is >1. You'll on average pick e numbers!

import random
import math

total = 0
tests = 314159

for n in range(tests):
    sum_ = 0
    while sum_ <= 1 :
       sum_  += random.random() 
       total += 1

print(total/tests - math.e)
#
# 0.002961236358451913
#

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