04 Random numbers for experimental probability

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import numpy as np
import pandas as pd
from pandas import Series, DataFrame
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import stats

khanacademy

def three_rolls_to_ten():
    die = np.arange(1, 7, 1)
    choice = [np.random.choice(die) for i in range(3)]
    return choice, np.sum(choice)

df = DataFrame({'Experiement': [i+1 for i in range(10000)],
                'Sum': [three_rolls_to_ten()[1] for i in range(10000)]}).set_index('Experiement')

df['Win'] = df['Sum'] >= 10

df

	Sum	Win
Experiement
1	12	True
2	15	True
3	16	True
4	13	True
5	11	True
...	...	...
9996	10	True
9997	10	True
9998	13	True
9999	9	False
10000	11	True

10000 rows × 2 columns

val_count = df['Win'].value_counts()

val_count

True     6230
False    3770
Name: Win, dtype: int64

val_count[True] / val_count.sum() * 100

62.3