dice_prob.py

'''

Given 3 fair six-sided dice, on a random roll, what is the probability that the sum of their values adds up to k=10 or more

3 dados de 6 lados

prob 1 3 6



'''
import random


def calculate_prob_m_dice_sum_greater_than_n(m=3, n=1000000, t=10):
    """
    Calculates the probability of the sum of m dice to be greater than t.
    It performs the experiment n times.

    :param m: number of dice
    :param n: number of experiments
    :param t: threshold for count
    :return: returns the probability
    """
    count = 0

    # simulate n experiments
    for _ in range(n):
        dice_sum = 0
        # throw m dice
        for _ in range(m):
            # simulate rolled dice number
            rolled_num = random.randint(1, 6)
            dice_sum += rolled_num
        # if sum is greater than t increase count
        if dice_sum >= t:
            count += 1

    return count / n


prob = calculate_prob_m_dice_sum_greater_than_n()

print(prob)