DiceRolling(Safia).sagews

#Safia's dice-roll counter
from collections import Counter
n=100000
all_singles=0
double_four_singles=0
two_doubles_two_singles=0
three_doubles=0
triple_three_singles=0
triple_double_single=0
two_triples=0
quadruple_two_singles=0
quadruple_double=0
quintuple=0
sextuple=0

for i in range(n):
    r=(randrange(1,7),randrange(1,7),randrange(1,7),randrange(1,7),randrange(1,7),randrange(1,7)) #random ordered roll of six dice
    if len(set(r)) == 6: #can only be all singles
        all_singles +=1
    elif len(set(r)) == 5: #can only be one double with 5 singles
        double_four_singles +=1
    elif len(set(r)) == 4: #could be two doubles with 2 singles or one triple with 3 singles
        c=Counter(r)
        if 3 in c.values():
            triple_three_singles +=1
        elif c.values().count(2) == 2:
            two_doubles_two_singles +=1
        else:
            print '{!s} has 4 unique numbers and my logic is wrong'.format(r)
    elif len(set(r)) == 3: #could be 3 doubles, triple double single, or quadruple singles
        c=Counter(r)
        if 4 in c.values():
            quadruple_two_singles +=1
        elif 3 in c.values():
            triple_double_single +=1
        elif c.values().count(2) ==3:
            three_doubles +=1
        else:
            print '{!s} has 3 unique numbers and my logic is wrong'.format(r)
    elif len(set(r)) == 2: #could be quintuple and single, quadruple and double, or two triples
        c=Counter(r)
        if 5 in c.values():
            quintuple +=1
        elif 4 in c.values():
            quadruple_double +=1
        elif c.values().count(3) ==2:
            two_triples+=1
        else:
            print '{!s} has 2 unique numbers and my logic is wrong'.format(r)
    elif len(set(r)) ==1: #can only be a sextuple
        sextuple +=1
    else:
        print '{!s} has a weird length'.format(r)
print 'Out of {} rolls,'.format(n)
print 'prob of 6S:     {0:.5f}'.format(float(all_singles/n))
print 'prob of 1D4S:   {0:.5f}'.format(float(double_four_singles/n))
print 'prob of 2D2S:   {0:.5f}'.format(float(two_doubles_two_singles/n))
print 'prob of 3D:     {0:.5f}'.format(float(three_doubles/n))
print 'prob of 1T3S:   {0:.5f}'.format(float(triple_three_singles/n))
print 'prob of 1T1D1S: {0:.5f}'.format(float(triple_double_single/n))
print 'prob of 2T:     {0:.5f}'.format(float(two_triples/n))
print 'prob of 1Q2S:   {0:.5f}'.format(float(quadruple_two_singles/n))
print 'prob of 1Q1D:   {0:.5f}'.format(float(quadruple_double/n))
print 'prob of 1N1S:   {0:.5f}'.format(float(quintuple/n))
print 'prob of 1X:     {0:.5f}'.format(float(sextuple/n))
print 'Does it sum to 1? {}'.format(1==(all_singles+double_four_singles+two_doubles_two_singles+three_doubles+triple_three_singles+triple_double_single+two_triples+quadruple_two_singles+quadruple_double+quintuple+sextuple)/n)

Out of 100000 rolls, prob of 6S: 0.01493 prob of 1D4S: 0.23207 prob of 2D2S: 0.34734 prob of 3D: 0.03861 prob of 1T3S: 0.15405 prob of 1T1D1S: 0.15523 prob of 2T: 0.00633 prob of 1Q2S: 0.03739 prob of 1Q1D: 0.00972 prob of 1N1S: 0.00423 prob of 1X: 0.00010 Does it sum to 1? True