Question

  桐桐和大诚玩纸牌游戏．下图是同一副扑克中的4张扑克牌的正面，将它们正面朝下洗匀后放在桌上，桐桐先从中抽出一张，大诚从剩余的3张牌中也抽出一张．

桐桐说：若抽出的两张牌的数字都是偶数，你获胜；否则，我获胜．

1.（1）请用列表（或树状图）表示出两人抽牌可能出现的所有结果；

2.（2）若按桐桐说的规则进行游戏，这个游戏公平吗？请说明理由．

 

Answer 1

【答案】

 

1.解：（1） 树状图为：

 

 

共有12种可能结果． ·································································································  3分

 

2.（2）游戏公平．    ································································································  4分

∵ 两张牌的数字都是偶数有6种结果：

（6，10），（6，12），（10，6），（10，12），（12，6），（12，10）．

∴ 桐桐获胜的概率P==．  ················································································ 5分

   大诚获胜的概率也为．························································································ 6分

∴ 游戏公平．

 

【解析】略