Question

Implement the simulation of a biased 6-sided die which takes the values 1,2,3,4,5,6 with probabilities 1/8,1/12,1/8,1/12,1/12,1/2. In [ ]: # WRITE YOUR OWN CODE HERE! FEEL FREE TO INSERT MORE CELLS! # ADD SOME COMMENTS TO YOUR CODE! ​ Plot a histrogramm with 1,000,000 simulations to check if the relative counts of each number is approximately equal to the corresponding specified probabilities. Remark: Specify the bins of your histogram correctly.

Answer 1

Answer:

see explaination

Explanation:

import numpy as np

import matplotlib.pyplot as plt

a = [1, 2, 3, 4, 5, 6]

prob = [1.0/8.0, 1.0/12.0, 1.0/8.0, 1.0/12.0, 1.0/12.0, 1.0/2.0]

smls = 1000000

rolls = list(np.random.choice(a, smls, p=prob))

counts = [rolls.count(i) for i in a]

prob_exper = [float(counts[i])/1000000.0 for i in range(6)]

print("\nProbabilities from experiment : \n\n", prob_exper, end = "\n\n")

plt.hist(rolls)

plt.title("Histogram with counts")

plt.show()

check attachment output and histogram