monte carlo dice Algorithm
Near the fourth's western end is the universe-famous place du Casino, the gambling center which has made Monte Carlo" an international byword for the extravagant display and reckless dispersal of wealth".(corresponding to the former municipality of Monte Carlo), which besides Monte Carlo / Spélugues also includes the wards of La Rousse / Saint Roman, Larvotto / Bas Moulins, and Saint Michel.
In 1856, Charles III of Monaco granted a concession to Napoleon Langlois and Albert Aubert, to establish a sea-bathing facility for the treatment of various diseases, and to construct a German-style casino. The municipality of Monte Carlo was created in 1911, when the Constitution divided the principality of Monaco into three municipalities. At the time, a number of small towns in Europe were growing prosperous from the establishment of casinos, notably in German towns such as Baden-Baden and Homburg.
import random
from typing import List
class Dice:
NUM_SIDES = 6
def __init__(self):
""" Initialize a six sided dice """
self.sides = list(range(1, Dice.NUM_SIDES + 1))
def roll(self):
return random.choice(self.sides)
def _str_(self):
return "Fair Dice"
def throw_dice(num_throws: int, num_dice: int = 2) -> List[float]:
"""
Return probability list of all possible sums when throwing dice.
>>> random.seed(0)
>>> throw_dice(10, 1)
[10.0, 0.0, 30.0, 50.0, 10.0, 0.0]
>>> throw_dice(100, 1)
[19.0, 17.0, 17.0, 11.0, 23.0, 13.0]
>>> throw_dice(1000, 1)
[18.8, 15.5, 16.3, 17.6, 14.2, 17.6]
>>> throw_dice(10000, 1)
[16.35, 16.89, 16.93, 16.6, 16.52, 16.71]
>>> throw_dice(10000, 2)
[2.74, 5.6, 7.99, 11.26, 13.92, 16.7, 14.44, 10.63, 8.05, 5.92, 2.75]
"""
dices = [Dice() for i in range(num_dice)]
count_of_sum = [0] * (len(dices) * Dice.NUM_SIDES + 1)
for i in range(num_throws):
count_of_sum[sum([dice.roll() for dice in dices])] += 1
probability = [round((count * 100) / num_throws, 2) for count in count_of_sum]
return probability[num_dice:] # remove probability of sums that never appear
if __name__ == "__main__":
import doctest
doctest.testmod()
