from die import Die
from tqdm import tqdm

class FiveDice:
    def __init__(self):
        self.dice = [Die() for number in range(5)]

    def roll(self):
        for die in self.dice:
            die.roll()
        return self.faces()

    def faces(self):
        return [die.face for die in self.dice]

    def all_ones(self):
        for face in self.faces():
            if face != 1:
                return False
        return True
    
    def count_dice(self, number):
        count = 0
        for die in dice:
            if die.face == number:
                count = count + 1
        return count
    
    def is_three_of_a_kind(self):
        for number in [1, 2, 3, 4, 5, 6]:
            count = 0
            for die in self.dice:
                if die.face == number:
                    count = count + 1
            if count >= 3:
                return True
        return False

    
    def is_four_of_a_kind(self):
        for number in [1, 2, 3, 4, 5, 6]:
            count = 0
            for die in self.dice:
                if die.face == number:
                    count = count + 1
            if count >= 4:
                return True
        return False

dice = FiveDice()
successes = 0
trials = 1000000
for trial in tqdm(range(trials)):
    dice.roll()
#    if dice.all_ones():
#    if dice.is_three_of_a_kind():
    if dice.is_four_of_a_kind():
        successes += 1

print(successes/trials)