

In [2]:

    
%matplotlib inline
import matplotlib.pyplot as plt
import numpy as np
import time
def random(n):
    
    lastXn = 31
    a = lastXn*int(time.clock())+98750
    b = a + 98756465
    m = 900217*int(time.clock())+900217
    rList = []
    for i in range(n):
        
        Xn = float((a*lastXn + b)% m)
        lastXn = Xn
        random = float(Xn/m)
        rList.append(random)
        
    return rList

def distAcum(x, px):
    
    Px = []
    suma = 0
    for i in range(len(x)):
        Px.append(suma + px[i])
        suma = suma + px[i]
    
    return Px

def genVAD(n, x, px):
    #print x
    dAcum = distAcum (x,px)
    #print dAcum
    rList = random(n)
    #print rList
    xList = []
    c = 0
    for i in rList:
        for d in range(len(dAcum)):
            if (i<=dAcum[d]):
                xList.append(x[d])
                break
    print xList 
    graficarHistograma(xList)
    
def graficarHistograma(randomList):

    plt.hist(randomList)
    plt.title("Histograma")
    plt.xlabel("Numero")
    plt.ylabel("Frecuencia")
    fig = plt.gcf()
    plt.show()
    
def main():
    # x and px should obviously have same length. DAhhh. Don't be so obvious. Dahhhh.
    x = [1,2,3,4,5,6]
    px = [0.1666666666666666666667,0.1666666666666666666667,0.1666666666666666666667,
          0.1666666666666666666667,0.1666666666666666666667,0.1666666666666666666667 ]
    n = int( raw_input('How many times do you want to roll the dice?'))
    genVAD(n,x,px)
    
main()









    



How many times do you want to roll the dice?10000
[1, 5, 5, 2, 4, 4, 3, 3, 5, 5, 6, 4, 3, 5, 1, 6, 3, 5, 5, 5, 6, 4, 3, 2, 1, 3, 5, 3, 5, 6, 6, 5, 6, 4, 4, 2, 3, 1, 3, 2, 4, 1, 6, 2, 4, 2, 3, 4, 5, 2, 6, 3, 6, 3, 5, 4, 3, 3, 5, 3, 1, 5, 5, 5, 1, 3, 2, 2, 5, 2, 2, 5, 4, 6, 1, 1, 5, 4, 5, 2, 1, 5, 4, 3, 4, 2, 4, 2, 3, 5, 1, 4, 6, 5, 4, 2, 3, 3, 6, 4, 5, 4, 4, 1, 4, 4, 5, 4, 3, 4, 5, 4, 6, 3, 1, 2, 1, 4, 5, 1, 5, 6, 4, 2, 5, 2, 3, 5, 5, 3, 5, 6, 6, 6, 1, 4, 1, 4, 4, 2, 5, 3, 5, 4, 2, 4, 3, 5, 6, 4, 6, 3, 5, 4, 3, 6, 5, 2, 3, 1, 4, 1, 6, 1, 5, 2, 6, 6, 6, 4, 1, 3, 1, 3, 4, 4, 4, 6, 2, 2, 1, 5, 1, 4, 3, 6, 5, 5, 1, 6, 4, 2, 1, 3, 4, 5, 6, 6, 6, 3, 2, 3, 4, 2, 3, 1, 1, 6, 4, 2, 6, 6, 4, 6, 3, 6, 4, 5, 5, 4, 6, 2, 1, 3, 4, 1, 3, 1, 6, 2, 1, 1, 1, 5, 3, 3, 6, 4, 6, 2, 6, 5, 3, 6, 1, 4, 2, 2, 3, 1, 4, 6, 6, 3, 5, 4, 6, 6, 2, 4, 4, 2, 6, 6, 4, 4, 3, 4, 6, 4, 6, 2, 3, 3, 1, 3, 5, 3, 6, 5, 1, 3, 4, 1, 4, 1, 2, 3, 4, 4, 6, 3, 4, 4, 1, 6, 3, 5, 6, 4, 6, 3, 6, 6, 1, 2, 6, 6, 1, 4, 1, 4, 2, 2, 1, 2, 3, 6, 1, 3, 4, 5, 5, 3, 5, 6, 1, 2, 3, 6, 1, 2, 3, 1, 6, 5, 5, 1, 3, 2, 2, 3, 2, 3, 1, 4, 4, 3, 5, 6, 5, 4, 6, 3, 3, 6, 6, 5, 5, 4, 6, 1, 1, 2, 3, 3, 4, 5, 5, 3, 3, 5, 3, 4, 5, 5, 3, 1, 2, 3, 5, 3, 4, 1, 3, 3, 6, 2, 2, 3, 2, 6, 4, 3, 3, 1, 6, 6, 2, 2, 6, 5, 6, 4, 3, 1, 4, 4, 1, 5, 6, 5, 4, 1, 3, 6, 2, 2, 4, 1, 1, 2, 5, 4, 2, 6, 3, 2, 4, 2, 1, 3, 2, 2, 1, 1, 1, 3, 3, 5, 3, 2, 2, 6, 1, 3, 4, 4, 3, 1, 6, 4, 2, 3, 2, 4, 1, 2, 6, 1, 4, 6, 4, 6, 5, 1, 3, 2, 4, 6, 4, 5, 6, 1, 2, 1, 5, 4, 3, 3, 5, 4, 5, 3, 4, 3, 5, 3, 5, 1, 4, 1, 5, 5, 5, 6, 6, 6, 2, 1, 2, 1, 2, 6, 6, 1, 2, 4, 4, 2, 4, 1, 3, 5, 3, 4, 3, 3, 5, 1, 2, 2, 1, 6, 6, 3, 6, 5, 4, 4, 6, 2, 6, 5, 3, 2, 2, 1, 4, 4, 1, 3, 2, 2, 5, 6, 1, 5, 4, 6, 4, 1, 1, 1, 2, 3, 5, 1, 5, 2, 3, 5, 4, 4, 5, 3, 4, 5, 5, 4, 5, 1, 4, 5, 3, 3, 5, 1, 5, 4, 1, 3, 4, 3, 2, 2, 1, 2, 5, 4, 4, 4, 5, 3, 4, 6, 3, 5, 5, 1, 2, 5, 1, 2, 6, 1, 6, 1, 1, 6, 6, 4, 5, 4, 2, 6, 4, 2, 2, 5, 1, 3, 5, 5, 4, 4, 1, 1, 4, 5, 2, 2, 1, 6, 6, 5, 1, 6, 3, 5, 1, 2, 6, 2, 2, 1, 6, 2, 5, 3, 3, 6, 3, 5, 6, 2, 1, 5, 4, 5, 4, 3, 6, 1, 6, 4, 4, 6, 6, 6, 2, 4, 5, 5, 5, 3, 3, 3, 4, 1, 2, 5, 6, 6, 4, 6, 1, 3, 3, 1, 5, 4, 2, 4, 6, 6, 3, 4, 6, 1, 2, 5, 4, 4, 2, 6, 1, 4, 4, 6, 5, 6, 6, 2, 5, 6, 5, 4, 3, 2, 2, 1, 3, 4, 3, 2, 5, 1, 3, 2, 1, 6, 4, 2, 3, 6, 3, 6, 3, 1, 1, 1, 1, 5, 4, 3, 6, 4, 1, 6, 6, 1, 3, 1, 1, 6, 5, 5, 1, 3, 4, 2, 5, 6, 1, 5, 1, 4, 1, 4, 5, 2, 1, 1, 3, 3, 4, 6, 6, 5, 4, 2, 2, 2, 5, 3, 6, 1, 3, 6, 1, 3, 3, 1, 6, 2, 4, 2, 6, 5, 6, 5, 2, 1, 3, 4, 6, 1, 4, 2, 6, 6, 2, 3, 4, 5, 3, 2, 6, 1, 2, 5, 3, 5, 6, 2, 4, 2, 3, 4, 3, 5, 4, 1, 4, 5, 4, 6, 4, 3, 3, 1, 1, 2, 5, 5, 4, 4, 5, 6, 2, 2, 1, 5, 5, 3, 2, 3, 1, 6, 2, 2, 2, 1, 5, 4, 6, 6, 2, 3, 1, 3, 1, 2, 1, 5, 4, 1, 3, 3, 5, 5, 3, 6, 2, 1, 6, 6, 3, 1, 1, 3, 1, 1, 5, 3, 6, 6, 5, 6, 4, 4, 2, 2, 2, 4, 2, 6, 6, 5, 4, 5, 1, 1, 5, 3, 1, 2, 4, 4, 4, 4, 4, 3, 3, 3, 1, 2, 5, 5, 1, 2, 3, 5, 6, 4, 4, 6, 2, 6, 3, 2, 6, 2, 2, 6, 1, 3, 2, 6, 3, 4, 1, 4, 1, 1, 3, 4, 3, 3, 2, 1, 4, 6, 3, 1, 1, 5, 1, 5, 6, 4, 6, 1, 2, 1, 1, 3, 3, 5, 5, 3, 5, 6, 1, 4, 5, 2, 6, 4, 3, 6, 5, 1, 6, 5, 2, 6, 4, 6, 4, 1, 2, 6, 2, 5, 5, 2, 2, 5, 5, 3, 5, 4, 5, 6, 6, 2, 1, 2, 5, 5, 6, 2, 4, 4, 2, 6, 3, 5, 5, 2, 3, 4, 5, 5, 4, 1, 4, 2, 1, 5, 3, 5, 1, 3, 5, 1, 2, 1, 1, 4, 1, 3, 6, 5, 6, 4, 6, 4, 1, 2, 2, 6, 5, 1, 6, 2, 2, 6, 4, 3, 2, 1, 5, 1, 2, 2, 3, 5, 5, 4, 6, 1, 2, 3, 3, 6, 1, 6, 3, 5, 6, 4, 3, 2, 6, 5, 2, 4, 4, 4, 5, 5, 3, 4, 6, 4, 6, 1, 4, 1, 3, 1, 4, 4, 2, 6, 4, 4, 5, 1, 5, 1, 1, 5, 3, 1, 2, 5, 4, 4, 3, 4, 3, 5, 6, 4, 5, 4, 1, 4, 1, 6, 2, 5, 5, 6, 5, 6, 1, 3, 5, 6, 5, 6, 1, 6, 6, 5, 4, 6, 2, 2, 4, 4, 5, 6, 3, 4, 6, 4, 4, 5, 6, 5, 4, 6, 2, 1, 5, 4, 3, 3, 1, 5, 2, 1, 4, 6, 5, 1, 3, 2, 4, 2, 2, 3, 5, 4, 6, 2, 1, 6, 4, 6, 6, 3, 6, 4, 1, 2, 6, 1, 3, 2, 4, 5, 5, 5, 4, 6, 5, 5, 2, 1, 3, 2, 1, 6, 5, 5, 4, 5, 5, 6, 5, 1, 4, 3, 2, 2, 6, 3, 4, 3, 1, 6, 5, 6, 4, 1, 6, 4, 6, 3, 6, 1, 5, 5, 4, 4, 2, 6, 2, 4, 1, 1, 2, 1, 3, 1, 6, 4, 6, 5, 6, 2, 4, 3, 4, 4, 1, 3, 4, 4, 5, 1, 4, 1, 4, 5, 5, 5, 5, 3, 1, 6, 4, 6, 4, 4, 2, 2, 4, 5, 3, 6, 4, 6, 5, 2, 5, 3, 6, 4, 2, 2, 6, 2, 3, 6, 3, 5, 6, 2, 6, 6, 3, 5, 2, 3, 6, 1, 4, 5, 6, 4, 2, 5, 1, 2, 2, 6, 4, 4, 6, 1, 4, 3, 1, 5, 3, 4, 2, 6, 1, 4, 1, 4, 5, 2, 4, 3, 6, 5, 5, 4, 6, 3, 1, 6, 3, 4, 6, 5, 3, 6, 1, 4, 1, 3, 3, 2, 2, 2, 2, 6, 6, 1, 5, 6, 5, 5, 6, 2, 3, 4, 2, 3, 3, 1, 2, 6, 1, 1, 2, 2, 6, 4, 3, 6, 3, 2, 6, 2, 2, 3, 2, 4, 6, 2, 6, 4, 4, 2, 6, 1, 6, 4, 2, 6, 2, 3, 6, 6, 1, 5, 3, 6, 1, 1, 4, 4, 3, 4, 5, 4, 1, 3, 3, 2, 6, 6, 4, 4, 1, 1, 5, 3, 5, 3, 1, 1, 2, 1, 5, 4, 6, 5, 2, 1, 5, 6, 5, 5, 2, 2, 1, 3, 3, 5, 5, 5, 6, 1, 1, 5, 5, 3, 1, 1, 5, 1, 6, 5, 3, 5, 4, 3, 1, 3, 1, 3, 6, 3, 5, 4, 5, 6, 3, 4, 6, 4, 2, 5, 4, 3, 6, 1, 3, 2, 6, 1, 3, 3, 1, 2, 5, 6, 4, 4, 5, 3, 6, 5, 3, 6, 2, 5, 2, 3, 2, 6, 3, 6, 1, 3, 5, 6, 6, 3, 2, 3, 3, 5, 4, 4, 4, 6, 2, 1, 4, 6, 4, 4, 6, 5, 3, 4, 2, 2, 2, 1, 6, 4, 1, 6, 6, 2, 3, 4, 6, 2, 3, 2, 6, 1, 1, 1, 2, 5, 4, 2, 3, 6, 2, 2, 5, 6, 6, 3, 4, 4, 2, 4, 5, 1, 4, 3, 3, 5, 5, 3, 5, 5, 1, 4, 5, 6, 2, 4, 2, 4, 4, 3, 6, 6, 1, 5, 5, 2, 4, 2, 5, 3, 6, 2, 4, 6, 6, 6, 1, 2, 5, 1, 5, 1, 3, 5, 5, 4, 1, 3, 1, 1, 1, 2, 3, 3, 2, 3, 2, 2, 3, 1, 4, 4, 2, 6, 6, 1, 2, 4, 3, 6, 4, 2, 6, 1, 6, 1, 1, 1, 6, 3, 3, 6, 4, 5, 4, 5, 3, 6, 2, 2, 2, 1, 3, 3, 5, 5, 3, 2, 1, 3, 1, 5, 4, 1, 1, 3, 1, 6, 5, 5, 6, 6, 2, 1, 2, 1, 5, 2, 1, 4, 2, 3, 1, 2, 2, 6, 4, 6, 2, 6, 3, 3, 4, 5, 6, 5, 3, 1, 5, 2, 5, 2, 3, 6, 6, 5, 5, 3, 5, 4, 1, 5, 5, 3, 3, 2, 2, 6, 5, 6, 5, 2, 2, 1, 5, 6, 3, 3, 4, 1, 3, 1, 5, 4, 3, 6, 2, 5, 2, 5, 4, 4, 1, 4, 4, 5, 3, 2, 5, 3, 6, 5, 5, 1, 2, 3, 6, 5, 4, 6, 4, 2, 5, 4, 4, 2, 1, 6, 1, 5, 6, 2, 5, 1, 5, 2, 5, 4, 5, 3, 4, 3, 4, 1, 1, 3, 4, 5, 3, 5, 1, 4, 4, 2, 1, 1, 5, 2, 3, 6, 5, 1, 2, 4, 3, 3, 4, 5, 3, 4, 4, 1, 3, 4, 4, 3, 5, 4, 6, 1, 2, 4, 3, 5, 1, 3, 2, 5, 1, 6, 4, 3, 6, 1, 4, 3, 1, 5, 6, 6, 5, 6, 3, 2, 3, 2, 5, 5, 2, 6, 5, 6, 1, 2, 2, 3, 6, 3, 3, 1, 1, 6, 6, 4, 4, 6, 6, 2, 6, 6, 6, 1, 5, 2, 4, 2, 3, 4, 6, 4, 1, 6, 1, 4, 2, 3, 3, 1, 2, 5, 3, 6, 4, 6, 4, 6, 4, 2, 3, 1, 4, 5, 5, 5, 2, 2, 1, 6, 4, 3, 4, 6, 6, 6, 5, 1, 3, 5, 4, 3, 3, 4, 5, 6, 1, 4, 5, 2, 6, 6, 1, 5, 4, 3, 4, 6, 3, 1, 4, 3, 5, 1, 3, 1, 6, 4, 6, 6, 6, 5, 5, 1, 5, 4, 4, 5, 4, 1, 2, 2, 5, 5, 4, 1, 3, 2, 3, 2, 3, 2, 1, 2, 4, 2, 4, 3, 6, 1, 2, 5, 6, 4, 1, 6, 6, 2, 5, 1, 4, 6, 1, 3, 1, 4, 2, 2, 6, 3, 4, 3, 1, 6, 2, 5, 3, 3, 4, 2, 4, 5, 6, 4, 4, 4, 2, 2, 3, 4, 1, 6, 1, 6, 6, 4, 1, 5, 4, 6, 1, 5, 5, 4, 6, 5, 5, 3, 3, 6, 1, 6, 6, 1, 5, 2, 6, 3, 4, 6, 1, 1, 2, 5, 5, 6, 4, 4, 2, 5, 5, 6, 3, 1, 2, 4, 4, 1, 3, 1, 5, 3, 4, 5, 6, 5, 2, 1, 4, 2, 1, 2, 6, 2, 6, 4, 5, 6, 1, 3, 3, 1, 1, 5, 5, 4, 4, 3, 5, 3, 3, 4, 1, 2, 3, 3, 2, 2, 1, 1, 4, 1, 6, 5, 2, 4, 1, 6, 6, 3, 6, 5, 3, 1, 2, 3, 6, 1, 3, 6, 3, 3, 6, 1, 6, 6, 1, 6, 1, 6, 2, 4, 6, 6, 1, 3, 3, 1, 2, 2, 3, 4, 4, 6, 6, 1, 4, 4, 1, 5, 2, 5, 2, 2, 1, 5, 2, 1, 3, 1, 4, 6, 1, 4, 6, 2, 1, 1, 5, 6, 4, 4, 6, 6, 3, 3, 4, 3, 3, 6, 6, 2, 5, 2, 1, 6, 2, 6, 4, 2, 4, 5, 2, 1, 1, 6, 6, 2, 6, 4, 6, 5, 4, 2, 4, 5, 1, 4, 1, 3, 2, 1, 1, 1, 6, 6, 4, 6, 3, 3, 4, 2, 2, 3, 2, 2, 3, 3, 4, 3, 3, 3, 6, 6, 6, 5, 2, 6, 3, 2, 2, 5, 1, 2, 2, 3, 2, 5, 5, 1, 4, 5, 4, 4, 6, 4, 1, 2, 4, 2, 5, 3, 5, 3, 1, 4, 2, 3, 4, 2, 4, 4, 1, 6, 4, 2, 3, 4, 5, 2, 4, 4, 2, 3, 4, 4, 6, 2, 1, 4, 1, 5, 2, 6, 6, 5, 3, 2, 3, 1, 1, 2, 5, 4, 2, 1, 4, 6, 1, 5, 3, 6, 5, 2, 2, 1, 4, 3, 6, 2, 6, 4, 6, 5, 3, 2, 5, 6, 2, 1, 1, 4, 3, 3, 2, 2, 3, 6, 1, 6, 3, 1, 2, 1, 1, 1, 3, 2, 4, 6, 1, 1, 3, 3, 5, 1, 1, 6, 3, 3, 5, 2, 4, 3, 4, 3, 1, 3, 2, 5, 3, 3, 2, 4, 4, 1, 4, 4, 5, 6, 2, 5, 3, 2, 6, 4, 5, 3, 5, 2, 6, 4, 1, 5, 3, 5, 5, 1, 6, 4, 1, 6, 3, 6, 4, 4, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 6, 6, 3, 6, 6, 5, 2, 4, 3, 3, 4, 4, 5, 3, 2, 1, 3, 6, 6, 4, 6, 2, 1, 1, 4, 6, 5, 4, 3, 4, 4, 2, 6, 6, 3, 5, 1, 4, 5, 3, 3, 4, 6, 6, 5, 1, 2, 4, 4, 4, 1, 4, 6, 5, 6, 6, 2, 6, 5, 4, 5, 1, 5, 6, 1, 6, 2, 6, 4, 2, 2, 2, 3, 3, 5, 4, 6, 3, 4, 2, 2, 1, 4, 6, 5, 4, 4, 5, 6, 2, 3, 5, 3, 2, 2, 3, 6, 6, 5, 1, 2, 5, 3, 1, 4, 4, 3, 1, 2, 1, 5, 2, 6, 5, 6, 1, 4, 1, 3, 1, 5, 3, 4, 6, 4, 1, 6, 2, 4, 1, 6, 5, 6, 3, 1, 5, 2, 3, 1, 5, 2, 3, 5, 6, 4, 3, 3, 6, 5, 3, 1, 6, 3, 4, 3, 2, 1, 6, 4, 5, 1, 5, 6, 5, 4, 5, 5, 1, 1, 3, 2, 5, 6, 2, 4, 1, 4, 3, 4, 1, 2, 5, 2, 3, 4, 1, 3, 6, 3, 5, 2, 3, 4, 1, 6, 2, 6, 1, 2, 1, 5, 1, 4, 6, 3, 6, 2, 6, 1, 3, 4, 5, 4, 3, 5, 3, 1, 1, 6, 2, 3, 4, 5, 6, 1, 1, 3, 3, 2, 6, 5, 5, 6, 1, 2, 2, 3, 4, 5, 6, 4, 1, 5, 6, 4, 3, 4, 4, 2, 5, 3, 4, 3, 6, 3, 1, 5, 4, 3, 1, 5, 3, 4, 6, 6, 3, 6, 6, 2, 4, 5, 5, 5, 3, 5, 4, 4, 4, 2, 3, 2, 1, 3, 4, 3, 1, 1, 4, 1, 2, 3, 4, 6, 6, 4, 2, 4, 2, 3, 6, 6, 4, 3, 3, 5, 3, 6, 4, 2, 2, 3, 4, 4, 3, 3, 5, 2, 4, 4, 3, 3, 4, 2, 2, 4, 5, 1, 4, 5, 3, 1, 5, 5, 3, 3, 6, 1, 2, 4, 2, 1, 5, 6, 4, 4, 1, 3, 4, 6, 6, 4, 3, 4, 5, 2, 4, 4, 6, 4, 2, 6, 1, 4, 3, 3, 4, 6, 5, 2, 2, 6, 1, 2, 1, 3, 6, 3, 2, 3, 1, 3, 3, 6, 4, 6, 6, 6, 2, 5, 6, 3, 3, 6, 5, 6, 3, 6, 2, 2, 4, 6, 4, 4, 1, 4, 6, 4, 1, 1, 1, 6, 4, 3, 5, 5, 3, 4, 1, 5, 6, 6, 6, 2, 1, 5, 6, 3, 4, 1, 2, 2, 4, 1, 5, 4, 1, 1, 3, 2, 2, 3, 2, 6, 6, 3, 1, 6, 2, 5, 3, 6, 6, 5, 6, 5, 1, 6, 6, 1, 1, 2, 2, 5, 5, 2, 2, 6, 1, 2, 1, 5, 3, 3, 4, 3, 5, 1, 6, 1, 3, 2, 1, 1, 6, 2, 6, 4, 3, 5, 2, 3, 3, 1, 4, 1, 3, 4, 3, 4, 3, 6, 3, 1, 5, 6, 5, 2, 2, 1, 6, 5, 4, 4, 4, 6, 1, 3, 2, 6, 6, 4, 2, 1, 1, 3, 4, 2, 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2, 4, 2, 5, 1, 3, 6, 1, 2, 3]