dice_roll_combos.py

from __future__ import division

from collections import Counter
import itertools
import six

n_dice = 6
n_sides_per_die = 6

options = range(1, n_sides_per_die+1)

all_combos = itertools.product(*(n_dice*[options]))

uniques = [len(set(c)) for c in all_combos]

c = Counter(uniques)

for k,v in c.items():
    print('{0: <2} | {1: >10} | {2}'.format(k, v, v/len(uniques)))