Python计算斗牛游戏概率算法实例分析
作者:Xjng
这篇文章主要介绍了Python计算斗牛游戏概率算法,简单介绍了斗牛游戏的原理并结合具体实例形式分析了相关的游戏概率算法,需要的朋友可以参考下
本文实例讲述了Python计算斗牛游戏概率算法。分享给大家供大家参考,具体如下:
过年回家,都会约上亲朋好友聚聚会,会上经常会打麻将,斗地主,斗牛。在这些游戏中,斗牛是最受欢迎的,因为可以很多人一起玩,而且没有技术含量,都是看运气(专业术语是概率)。
斗牛的玩法是:
1. 把牌中的JQK都拿出来
2. 每个人发5张牌
3. 如果5张牌中任意三张加在一起是10的 倍数,就是有牛。剩下两张牌的和的10的余数就是牛数。
牌的大小:
4条 > 3条 > 牛十 > 牛九 > …… > 牛一 >没有牛
而这些牌出现的概率是有多少呢?
由于只有四十张牌,所以采用了既简单,又有效率的方法枚举来计算。
计算的结果:
所有牌的组合数:658008 出现四条的组合数:360,概率 :0.05% 出现三条的组合数:25200,概率 :3.83% 出现牛十的组合数:42432,概率 :6.45% 出现牛九或牛八的组合数:87296,概率 :13.27% 出现牛一到牛七的组合数:306112,概率 :46.52% 出现没有牛的组合数:196608,概率 :29.88%
所以有七成的概率是有牛或以上的,所以如果你经常遇到没有牛,说明你的运气非常差或者本来是有牛的,但是你没有找出来。
Python源代码:
# encoding=utf-8 __author__ = 'kevinlu1010@qq.com' import os import cPickle from copy import copy from collections import Counter import itertools ''' 计算斗牛游戏的概率 ''' class Poker(): ''' 一张牌 ''' def __init__(self, num, type): self.num = num # 牌数 self.type = type # 花色 class GamePoker(): ''' 一手牌,即5张Poker ''' COMMON_NIU = 1 # 普通的牛,即牛一-牛七 NO_NIU = 0 # 没有牛 EIGHT_NINE_NIU = 2 # 牛九或牛八 TEN_NIU = 3 # 牛十 THREE_SAME = 4 # 三条 FOUR_SAME = 5 # 四条 def __init__(self, pokers): assert len(pokers) == 5 self.pokers = pokers self.num_pokers = [p.num for p in self.pokers] # self.weight = None # 牌的权重,权重大的牌胜 # self.money_weight = None # 如果该牌赢,赢钱的权重 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条 :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条 :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): ''' 计算牌 ''' 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_NIU def get_all_pokers(): ''' 生成所有的Poker,共四十个 :return: ''' pokers = [] for i in range(1, 11): for j in ('A', 'B', 'C', 'D'): pokers.append(Poker(i, j)) return pokers def get_all_game_poker(is_new=0): ''' 生成所有game_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代表五张牌 game_pokers.append(GamePoker(pokers)) with open('game_pokers', 'w') as f: f.write(cPickle.dumps(game_pokers)) return game_pokers def 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 '所有牌的组合数:%d' % total_num print '出现四条的组合数:%d,概率 :%.2f%%' % (four_num, four_num * 100 / total_num) print '出现三条的组合数:%d,概率 :%.2f%%' % (three_num, three_num * 100 / total_num) print '出现牛十的组合数:%d,概率 :%.2f%%' % (ten_num, ten_num * 100 / total_num) print '出现牛九或牛八的组合数:%d,概率 :%.2f%%' % (eight_nine_num, eight_nine_num * 100 / total_num) print '出现牛一到牛七的组合数:%d,概率 :%.2f%%' % (common_num, common_num * 100 / total_num) print '出现没有牛的组合数:%d,概率 :%.2f%%' % (no_num, no_num * 100 / total_num) def main(): game_pokers = get_all_game_poker() # 658008种 print_rate(game_pokers) main()
如果有错误,欢迎指正。
更多关于Python相关内容可查看本站专题:《Python游戏开发技巧总结》、《Python数据结构与算法教程》、《Python Socket编程技巧总结》、《Python函数使用技巧总结》、《Python字符串操作技巧汇总》、《Python入门与进阶经典教程》及《Python文件与目录操作技巧汇总》
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