Andrucci simulation

Andrucci simulation#

The Andrucci roulette strategy is a high-risk approach to the popular table game. This strategy relies on the idea that although roulette is a game of chance, over time numbers will have phases where they appear more regularly.

from roulette import Roulette
from collections import Counter
import random
from simulations_core import *
from simulations_plots_core import *

roulette = Roulette()

The following code works on the following way: Make sure you note down exactly which number the ball lands on each time when watching the roulette 30-37 times. Over the 30-37 bets, see which numbers appear the most and then begin making straight bets on one of the popular numbers. Repeat this bet on the same number for around 30-37 bets.

def andrucci_betting(goal_money_won, bet, money_limit):
    watch_bets = random.randint(30,37)
    numbers_chosen = [roulette.spin() for _ in range(watch_bets)]
    counts = Counter(numbers_chosen)
    sorted = counts.most_common()
    play_on = random.randint(0,len(sorted)//2)
    money = 0
    money_history = [money]

    while money < goal_money_won:
        money += roulette.make_specific_single_bet(bet, sorted[play_on][0])
        money_history.append(money)

        if money_limit is not None and money < money_limit:
            return money_history

    return money_history

money_goals = [10, 100, 500, 1000]

Starting bet = 1, Allowed money lost = -35#

bet = 1
money_histories = simulate_different_goal_money(
                    betting_type = andrucci_betting, 
                    goal_money_list = money_goals, 
                    number_histories = 10000,
                    start_bet= bet,
                    money_limit=-35*bet)

successful_histories = get_successful_histories(money_histories, money_goals)

for goal in money_goals:
    print(f"For goal {goal} mean money won:")
    print(get_mean_money_won(money_histories, goal))

For goal 10 mean money won:
24.30487599122659
For goal 100 mean money won:
111.34337616304829
For goal 500 mean money won:
510.63577586206895
For goal 1000 mean money won:
1010.9871794871794

Analysis when the goal is to win 10 units#

plot_successful_bets(money_histories[10], 10)

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mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, 10)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_money_histories(successful_histories, 10)

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Analysis when the goal is to win 100 units#

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, 100)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[100], 100)

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plot_money_histories(successful_histories, 100)

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Analysis when the goal is to win 500 units#

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, 500)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[500], 500)

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plot_money_histories(successful_histories, 500)

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Analysis when the goal is to win 1000 units#

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, 1000)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[1000], 1000)

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plot_money_histories(successful_histories, 1000)

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Starting bet = goal, Allowed money lost = -10*goal#

money_histories = dict()
for goal in money_goals:
    bet = goal
    tmp_money_histories = simulate_different_goal_money(
                        betting_type = andrucci_betting, 
                        goal_money_list = [goal], 
                        number_histories = 10000,
                        start_bet= bet,
                        money_limit= -10*bet)
    money_histories = money_histories | tmp_money_histories

successful_histories = get_successful_histories(money_histories, money_goals)

for goal in money_goals:
    print(f"For goal {goal} mean money won:")
    print(get_mean_money_won(money_histories, goal))

For goal 10 mean money won:
302.97520661157023
For goal 100 mean money won:
3024.079754601227
For goal 500 mean money won:
15167.248062015504
For goal 1000 mean money won:
30265.02311248074

Analysis when the goal is to win 10 units#

UNITS = 10

plot_successful_bets(money_histories[UNITS], UNITS)

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mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 100 units#

UNITS = 100

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

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plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 500 units#

UNITS = 500

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

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plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 1000 units#

UNITS = 1000

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

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plot_money_histories(successful_histories, UNITS)

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Starting bet = goal, Allowed money lost = -20*goal#

money_histories = dict()
for goal in money_goals:
    bet = goal
    tmp_money_histories = simulate_different_goal_money(
                        betting_type = andrucci_betting, 
                        goal_money_list = [goal], 
                        number_histories = 10000,
                        start_bet= bet,
                        money_limit= -20*bet)
    money_histories = money_histories | tmp_money_histories

successful_histories = get_successful_histories(money_histories, money_goals)

for goal in money_goals:
    print(f"For goal {goal} mean money won:")
    print(get_mean_money_won(money_histories, goal))

For goal 10 mean money won:
259.58760537707906
For goal 100 mean money won:
2579.169472502806
For goal 500 mean money won:
13070.446348061316
For goal 1000 mean money won:
25937.32782369146

Analysis when the goal is to win 10 units#

UNITS = 10

plot_successful_bets(money_histories[UNITS], UNITS)

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mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 100 units#

UNITS = 100

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

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plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 500 units#

UNITS = 500

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

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plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 1000 units#

UNITS = 1000

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

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plot_money_histories(successful_histories, UNITS)

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Starting bet = goal, Allowed money lost = -30*goal#

money_histories = dict()
for goal in money_goals:
    bet = goal
    tmp_money_histories = simulate_different_goal_money(
                        betting_type = andrucci_betting, 
                        goal_money_list = [goal], 
                        number_histories = 10000,
                        start_bet= bet,
                        money_limit= -30*bet)
    money_histories = money_histories | tmp_money_histories

successful_histories = get_successful_histories(money_histories, money_goals)

for goal in money_goals:
    print(f"For goal {goal} mean money won:")
    print(get_mean_money_won(money_histories, goal))

For goal 10 mean money won:
220.68864342423197
For goal 100 mean money won:
2238.064516129032
For goal 500 mean money won:
11128.325647392692
For goal 1000 mean money won:
22237.086324636664

Analysis when the goal is to win 10 units#

UNITS = 10

plot_successful_bets(money_histories[UNITS], UNITS)

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mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

../_images/b427ca24f56e8a7fb892a2e4f7c063d190104c32b10cf1ed9c05248c34e99f47.png

plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 100 units#

UNITS = 100

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

../_images/f45a0e14a6536d3558863467070b42289076a5ad7ceb9997f7900643e51d4c8c.png

plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 500 units#

UNITS = 500

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

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plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 1000 units#

UNITS = 1000

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

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plot_successful_bets(money_histories[UNITS], UNITS)

../_images/f9ebb4f41c13998f30a832cf17d13192f4d3077fde09ed5e8ae11f3fde98619b.png

plot_money_histories(successful_histories, UNITS)

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Starting bet = goal, Allowed money lost = -35*goal#

money_histories = dict()
for goal in money_goals:
    bet = goal
    tmp_money_histories = simulate_different_goal_money(
                        betting_type = andrucci_betting, 
                        goal_money_list = [goal], 
                        number_histories = 10000,
                        start_bet= bet,
                        money_limit= -35*bet)
    money_histories = money_histories | tmp_money_histories

successful_histories = get_successful_histories(money_histories, money_goals)

for goal in money_goals:
    print(f"For goal {goal} mean money won:")
    print(get_mean_money_won(money_histories, goal))

For goal 10 mean money won:
206.1788486416559
For goal 100 mean money won:
2055.410773875735
For goal 500 mean money won:
10432.244113407016
For goal 1000 mean money won:
20654.019292604502

Analysis when the goal is to win 10 units#

UNITS = 10

plot_successful_bets(money_histories[UNITS], UNITS)

../_images/8ef1737d4e4ad5d8723622685c2f6a4bb36e514c7769c96279902209d2a93c5b.png

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

../_images/6fcbae356c7fb0c2de5df6606f3144982cac472662980dc5c04a2c0add69e09d.png

plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 100 units#

UNITS = 100

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

../_images/c01eb4986d34075972c373737bb1c3edae344f608af4ba0cdf5cf38fae896c88.png

plot_successful_bets(money_histories[UNITS], UNITS)

../_images/b6150b3c8feeef4e185c787252eae5d4209106c69f7242016f58b41a2b9bdbc8.png

plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 500 units#

UNITS = 500

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

../_images/b4558dd051468fa00231f04eda465dadad6769ad66e9a91223562a1b753f6995.png

plot_successful_bets(money_histories[UNITS], UNITS)

../_images/03f84bf8100e805a8d9d82913b412017cc7445efd0007c6144542e7bfa68ac02.png

plot_money_histories(successful_histories, UNITS)

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Analysis when the goal is to win 1000 units#

UNITS = 1000

mean_money_list, std_money_list = get_mean_and_std_of_histories(successful_histories, UNITS)
plot_money_history(mean_money_list, std_dev=std_money_list, title='Successful simulations mean and std')

../_images/bdac3c246974e2a774be7c0f4a0e6ce89e336262d4b15fdbe6de5f222d3c0bde.png

plot_successful_bets(money_histories[UNITS], UNITS)

../_images/4be98e5cc7218f21add7cad74aca8bb7a1eb471a73642d8b5be4ee523c0ce718.png

plot_money_histories(successful_histories, UNITS)

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Andrucci simulation

Contents

Andrucci simulation#

Starting bet = 1, Allowed money lost = -35#

Analysis when the goal is to win 10 units#

Analysis when the goal is to win 100 units#

Analysis when the goal is to win 500 units#

Analysis when the goal is to win 1000 units#

Starting bet = goal, Allowed money lost = -10*goal#

Analysis when the goal is to win 10 units#

Analysis when the goal is to win 100 units#

Analysis when the goal is to win 500 units#

Analysis when the goal is to win 1000 units#

Starting bet = goal, Allowed money lost = -20*goal#

Analysis when the goal is to win 10 units#

Analysis when the goal is to win 100 units#

Analysis when the goal is to win 500 units#

Analysis when the goal is to win 1000 units#

Starting bet = goal, Allowed money lost = -30*goal#

Analysis when the goal is to win 10 units#

Analysis when the goal is to win 100 units#

Analysis when the goal is to win 500 units#

Analysis when the goal is to win 1000 units#

Starting bet = goal, Allowed money lost = -35*goal#

Analysis when the goal is to win 10 units#

Analysis when the goal is to win 100 units#

Analysis when the goal is to win 500 units#

Analysis when the goal is to win 1000 units#