thing

test.py

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.")