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 is_three_of_a_kind(self):
        self.faces().sort()
        if self.faces()[0] == self.faces()[1] and self.faces()[0] == self.faces()[2] and self.faces()[0] != self.faces()[3]:
            return True
        elif self.faces()[1] == self.faces()[2] and self.faces()[1] == self.faces()[3] and self.faces()[1] != self.faces()[4]:
            return True
        elif self.faces()[2] == self.faces()[3] and self.faces()[2] == self.faces()[4]:
            return True
        else:
            return False

    def is_four_of_a_kind(self):
        self.faces().sort()
        if self.faces()[0] != self.faces()[4] and self.faces()[0] == self.faces()[1] and self.faces()[0] == self.faces()[2] and self.faces()[0] == self.faces()[3]:
            return True
        elif self.faces()[0] != self.faces()[1] and self.faces()[1] == self.faces()[2] and self.faces()[1] == self.faces()[3] and self.faces()[1] == self.faces()[4]:
            return True
        else:
            return False

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

print(successes/trials)