import random as rnd
import matplotlib.pyplot as plt
import numpy as np


def dice(n=1, d=6):
    eyes = 0
    sides = range(1, d + 1)
    for roll in range(n):
        eyes += rnd.choice(sides)
    return eyes


rnd.seed(rnd.random())

rolls = 1000
d_dice = 6
n_dices = 6

total_sum = 0
results = [0 for i in range(0, d_dice * n_dices + 1 + n_dices)]
for a in range(rolls):
    val = dice(n_dices, d_dice)
    total_sum += val
    results[val] += 1
avg = total_sum / rolls

fig, ax = plt.subplots()

ax.plot(
    np.array(range(0, d_dice * n_dices + 1 + n_dices)),
    np.array(results),
    color="red"
)

ax.plot(
    np.array(range(0, d_dice * n_dices + 1 + n_dices)),
    np.array([avg for i in range(0, d_dice * n_dices + 1 + n_dices)]),
    color="blue"
)

ax.set_xlabel("Summierte Augenzahl")
ax.set_ylabel("Vorkommen")
ax.set_title("Verteilung")
plt.show()

for b in range(0, d_dice * n_dices + 1 + n_dices):
    print(f"Summe: {b}, Vorkommen: {results[b]}")