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| import math | |
| import statistics | |
| import random | |
| import pyspiel | |
| game = pyspiel.load_game("breakthrough") | |
| trials = int(1e4) | |
| white_wins = 0 | |
| black_wins = 0 | |
| lst = [] | |
| for _ in range(trials): | |
| state = game.new_initial_state() | |
| while not state.is_terminal(): | |
| action = random.choice(state.legal_actions()) | |
| state.apply_action(action) | |
| rewards = state.rewards() | |
| if rewards[0] == 1: | |
| white_wins += 1 | |
| else: | |
| black_wins += 1 | |
| lst.append(1 if rewards[0] == 1 else -1) | |
| print(f"Percentage of white winning: {round(white_wins/trials*100, 3)}%\n" | |
| f"Percentage of black winning: {round(black_wins/trials*100, 3)}%") | |
| stdev = statistics.stdev(lst) | |
| mean = white_wins/trials | |
| z = (mean-0.5)/(stdev/math.sqrt(trials)) | |
| if z >= 1.96: | |
| print("Statistically Significant; White wins more when making random moves.") | |
| elif z <= -1.96: | |
| print("Statistically Significant: Black wins more when making random moves.") | |
| else: | |
| print("Statistically Insignificant.") |
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