Question

PYTHON CODING:

“Roll” 2 dice 10,000 times keeping track of all the sums of each set of rolls in a list. Then use your program to generate a histogram summarizing the rolls of two dice 10,000 times.

Answer 1

from __future__ import division
import random

# to get a random number 
def dice_roll():
    return random.randint(1, 6)

# this function calculates the total number of ooccurences of all the possible outcome
def simulate(number_of_times):
    counter = {n : 0 for n in range(2, 13)}

    for i in range(number_of_times):
        first_dice = dice_roll()
        second_dice = dice_roll()
        total = first_dice + second_dice

        counter[total] += 1

    return counter

#total number of rolls
rolls = 10000
counter = simulate(rolls)  
total = sum(counter.values())
li=[]

# printing the count and probablity of occurence of all possible values
print("The count and probablity of occurence of values: \n")
for total, count in counter.items():
    print("{} - {} {:0.4f}%".format(total, count, count / rolls))
    val = round(count / rolls , 4)
    li.append(val)


import matplotlib.pyplot as plt 

import numpy as np 

# all possible outcomes
sample = [2,3,4,5,6,7,8,9,10,11,12]

# printing the plot showing probablities of all possible outcomes
x_axis = list(set(sample))
plt.bar(x_axis, li)

plt.ylabel('Probability');

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