import random

rolls = [random.randint(1,6) for i in range(6)]
print(rolls)

[rolls.count(i) for i in range(1,7)]

def test(n):
    rolls = [random.randint(1,n) for i in range(n)]
    print([rolls.count(i) for i in range(1,n + 1)])

test(6)

test(100)

def test(n):
    rolls = [random.randint(1,n) for i in range(n)]
    return sum([1 for count in [rolls.count(i) for i in range(1,n + 1)] if count > 0])/n

test(6)

test(100)

test(10000)

1 - ((10000 - 1)/10000) ** 10000

import math
print(1 - 1/math.e)