Python program for double dice (one biased one normal) simulation

Here, we will be simulating the occurrence of the sum of the faces of two dice [i.e. dice(A) - 1, 2, 3, 4, 5 ,6 + dice(B) - 1, 2, 3, 4, 4, 4, 5, 6, 6 ,6]. A dice is normal(each has an equal probability of occurrence) and another B dice is biased one (each face has not an equal probability of outcome). So, in this case, we have to find out the maximum probable sum if the dice. So we simply take the help of stimulation to do so. Simply we are going to use an inbuilt library called as random to call a random value from given set and thereby we can stimulate the occurrence value by storing the occurrence in the list ls of length 12 representing each face of the dice as ls[4] represents the occurrence of face 5.

    ls[0]   - dice(1)
    ls[1]   - dice(2)
    ls[2]   - dice(3)
    ls[3]   - dice(4)
    ls[3]   - dice(5)
    ls[5]   - dice(6) 
    ls[6]   - dice(7)
    ls[7]   - dice(8)
    ls[8]   - dice(9)
    ls[9]   - dice(10)
    ls[10]  - dice(11)
    ls[11]  - dice(12)

Then using the library pylab, we can plot the value of each occurrence and can stimulate it.

import random import pylab as py def roll(): return random.choice([1,2,3,4,5,6]) def biased(): return random.choice([1,2,3,4,4,4,5,5,5,6,6,6]) ls = [0,0,0,0,0,0,0,0,0,0,0,0] chance = [104, 203, 302, 401, 505, 646, 756, 855, 985] for n in chance: for k in range(n): scr = roll() + biased() ls[scr-1] = ls[scr-1] + 4/4 py.figure() py.plot([1,2,3,4,5,6,7,8,9,10,11,12], ls) for el in ls: print(el)

Python program for double dice (one biased one normal) simulation

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