farckle.py

farckle.py

def is_farcle(dice):
    return not (
            1 in dice
            or 5 in dice
            or has_3_of_kind(dice)
            or has_1_thru_6(dice)
        )

def has_3_of_kind(dice):
    for i in [1,2,3,4,5,6]:
        if dice.count(i) >=3:
            return True
    return False

def has_1_thru_6(dice):
    return len(list(set(dice))) == 6



def get_all_dices_len_n(n):
    if n == 1:
        return [[1], [2], [3], [4], [5], [6]]
    less_dices = get_all_dices_len_n(n-1)
    dices = []
    for i in [1,2,3,4,5,6]:
        for less_dice in less_dices:
            dices.append([i] + less_dice)
    return dices


def get_farcle_count(dices):
    count = 0
    for dice in dices:
        if is_farcle(dice):
            count += 1
    return count

def do_all_farcle_counts():
    for i in [1,2,3,4,5,6]:
        dices = get_all_dices_len_n(i) #always has len 6**i
        farcles = get_farcle_count(dices)
        prob = farcles / 6**i
        print(f"For {i} dice probability of farcle is {farcles}/{6**i} --- ({100*prob}%)")


if __name__ == '__main__':
    do_all_farcle_counts()