Show the best strategy to win the "Pig" dice game

pig.py

import random
import numpy

def play():
    strategies = {}
    for i in range(1, 20):
        game_result, count = 0, 0
        while game_result < 100:
            round_result = 0
            for j in range(i):
                dice = random.randint(1, 6)
                if dice == 1:
                    round_result = 0
                    break
                else:
                    round_result += dice
            game_result += round_result
            count += 1
        strategies[i] = count
    return strategies


num_runs = 10000
winners = numpy.zeros(num_runs)
for i in xrange(num_runs):
    strategies = play()
    # for count, i in strategies.items():
    #     print "Win with {0} plays - {1} per round".format(count, i)
    winner = min(strategies.values())
    winners[i] = winner

print winners
from matplotlib import pyplot
pyplot.hist(winners)
pyplot.show()