過(guò)年回家,都會(huì)約上親朋好友聚聚會(huì),會(huì)上經(jīng)常會(huì)打麻將,斗地主,斗牛。在這些游戲中,斗牛是最受歡迎的,因?yàn)榭梢院芏嗳艘黄鹜妫覜](méi)有技術(shù)含量,都是看運(yùn)氣(專業(yè)術(shù)語(yǔ)是概率)。
斗牛的玩法是:
- 1、把牌中的JQK都拿出來(lái)
- 2、每個(gè)人發(fā)5張牌
- 3、如果5張牌中任意三張加在一起是10的 倍數(shù),就是有牛。剩下兩張牌的和的10的余數(shù)就是牛數(shù)。
牌的大小:
4條 > 3條 > 牛十 > 牛九 > …… > 牛一 >沒(méi)有牛
而這些牌出現(xiàn)的概率是有多少呢?
由于只有四十張牌,所以采用了既簡(jiǎn)單,又有效率的方法枚舉來(lái)計(jì)算。
計(jì)算的結(jié)果:
- 所有牌的組合數(shù):658008
- 出現(xiàn)四條的組合數(shù):360,概率 :0.05%
- 出現(xiàn)三條的組合數(shù):25200,概率 :3.83%
- 出現(xiàn)牛十的組合數(shù):42432,概率 :6.45%
- 出現(xiàn)牛九或牛八的組合數(shù):87296,概率 :13.27%
- 出現(xiàn)牛一到牛七的組合數(shù):306112,概率 :46.52%
- 出現(xiàn)沒(méi)有牛的組合數(shù):196608,概率 :29.88%
所以有七成的概率是有牛或以上的,所以如果你經(jīng)常遇到?jīng)]有牛,說(shuō)明你的運(yùn)氣非常差或者本來(lái)是有牛的,但是你沒(méi)有找出來(lái)。
Python源代碼:
# encoding=utf-8__author__ = 'kevinlu1010@qq.com'import osimport cPicklefrom copy import copyfrom collections import Counterimport itertools'''計(jì)算斗牛游戲的概率'''class Poker(): ''' 一張牌 ''' def __init__(self, num, type): self.num = num # 牌數(shù) self.type = type # 花色class GamePoker(): ''' 一手牌,即5張Poker ''' COMMON_NIU = 1 # 普通的牛,即牛一-牛七 NO_NIU = 0 # 沒(méi)有牛 EIGHT_NINE_NIU = 2 # 牛九或牛八 TEN_NIU = 3 # 牛十 THREE_SAME = 4 # 三條 FOUR_SAME = 5 # 四條 def __init__(self, pokers): assert len(pokers) == 5 self.pokers = pokers self.num_pokers = [p.num for p in self.pokers] # self.weight = None # 牌的權(quán)重,權(quán)重大的牌勝 # self.money_weight = None # 如果該牌贏,贏錢(qián)的權(quán)重 self.result = self.sumary() def is_niu(self): ''' 是否有牛 :return: ''' # if self.is_three_same(): # return 0 for three in itertools.combinations(self.num_pokers, 3): if sum(three) % 10 == 0: left = copy(self.num_pokers) for item in three: left.remove(item) point = sum(left) % 10 return 10 if point == 0 else point return 0 def is_three_same(self): ''' 是否3條 :return: ''' # if self.is_four_same(): # return 0 count = Counter([p.num for p in self.pokers]) for num in count: if count[num] == 3: return num return 0 def is_four_same(self): ''' 是否4條 :return: ''' count = Counter([p.num for p in self.pokers]) for num in count: if count[num] == 4: return num return 0 def sumary(self): ''' 計(jì)算牌 ''' if self.is_four_same(): return GamePoker.FOUR_SAME if self.is_three_same(): return GamePoker.THREE_SAME niu_point = self.is_niu() if niu_point in (8, 9): return GamePoker.EIGHT_NINE_NIU elif niu_point == 10: return GamePoker.TEN_NIU elif niu_point > 0: return GamePoker.COMMON_NIU else: return GamePoker.NO_NIUdef get_all_pokers(): ''' 生成所有的Poker,共四十個(gè) :return: ''' pokers = [] for i in range(1, 11): for j in ('A', 'B', 'C', 'D'): pokers.append(Poker(i, j)) return pokersdef get_all_game_poker(is_new=0): ''' 生成所有g(shù)ame_poker :param pokers: :return: ''' pokers = get_all_pokers() game_pokers = [] if not is_new and os.path.exists('game_pokers'): with open('game_pokers', 'r') as f: return cPickle.loads(f.read()) for pokers in itertools.combinations(pokers, 5): # 5代表五張牌 game_pokers.append(GamePoker(pokers)) with open('game_pokers', 'w') as f: f.write(cPickle.dumps(game_pokers)) return game_pokersdef print_rate(game_pokers): total_num = float(len(game_pokers)) four_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.FOUR_SAME]) three_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.THREE_SAME]) ten_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.TEN_NIU]) eight_nine_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.EIGHT_NINE_NIU]) common_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.COMMON_NIU]) no_num = len([game_poker for game_poker in game_pokers if game_poker.result == GamePoker.NO_NIU]) print '所有牌的組合數(shù):%d' % total_num print '出現(xiàn)四條的組合數(shù):%d,概率 :%.2f%%' % (four_num, four_num * 100 / total_num) print '出現(xiàn)三條的組合數(shù):%d,概率 :%.2f%%' % (three_num, three_num * 100 / total_num) print '出現(xiàn)牛十的組合數(shù):%d,概率 :%.2f%%' % (ten_num, ten_num * 100 / total_num) print '出現(xiàn)牛九或牛八的組合數(shù):%d,概率 :%.2f%%' % (eight_nine_num, eight_nine_num * 100 / total_num) print '出現(xiàn)牛一到牛七的組合數(shù):%d,概率 :%.2f%%' % (common_num, common_num * 100 / total_num) print '出現(xiàn)沒(méi)有牛的組合數(shù):%d,概率 :%.2f%%' % (no_num, no_num * 100 / total_num)def main(): game_pokers = get_all_game_poker() # 658008種 print_rate(game_pokers)main() 以上就是Python計(jì)算斗牛游戲的概率相關(guān)內(nèi)容,希望對(duì)大家的學(xué)習(xí)有所幫助。



















