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August 14, 2024 19:08
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AB Svenska Spel - Triss Lottery Probability (Spoiler: You don't win)
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import numpy as np | |
# https://www.svenskaspel.se/triss/spelguide/triss-30 | |
prizes = np.array([ | |
(1, 2765000), | |
(4, 300000), | |
(6, 265000), | |
(2, 100000), | |
(3, 50000), | |
(8, 20000), | |
(46, 10000), | |
(30, 5000), | |
(15, 2500), | |
(50, 2000), | |
(80, 1500), | |
(160, 1000), | |
(60, 900), | |
(50, 750), | |
(200, 600), | |
(200, 500), | |
(125, 450), | |
(930, 300), | |
(1200, 180), | |
(3760, 150), | |
(7200, 120), | |
(26000, 90), | |
(200355, 60), | |
(188515, 30) | |
]) | |
ticket_wins = 429_000 | |
ticket_total = 2_000_000 | |
ticket_price = 30 | |
simulations = 1000 | |
budget = 400 | |
ticket_list = np.hstack([np.full(units, prize) for units, prize in prizes]) | |
ticket_list = np.hstack([ticket_list, np.zeros(ticket_total - ticket_wins)]) | |
np.random.shuffle(ticket_list) | |
def one_epoch(size): | |
tickets = np.random.choice(ticket_list, size, replace=False) | |
sum_win = tickets.sum() | |
return sum_win | |
results = np.array([one_epoch(budget // ticket_price) for _ in range(simulations)]) | |
print(f"{'='*9} Results {'='*9} \nAverage win: {results.mean()} SEK") | |
print(f"Highest win: {results.max()} SEK\n") | |
print(f"Average gain/loss: {results.mean()-budget} SEK\n") | |
print(f"Top 10 wins out of {simulations} simulations: \n {np.sort(results)[-10:]}") |
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