Question

  桐桐和大誠(chéng)玩紙牌游戲．下圖是同一副撲克中的4張撲克牌的正面，將它們正面朝下洗勻后放在桌上，桐桐先從中抽出一張，大誠(chéng)從剩余的3張牌中也抽出一張．

桐桐說：若抽出的兩張牌的數(shù)字都是偶數(shù)，你獲勝；否則，我獲勝．

1.（1）請(qǐng)用列表（或樹狀圖）表示出兩人抽牌可能出現(xiàn)的所有結(jié)果；

2.（2）若按桐桐說的規(guī)則進(jìn)行游戲，這個(gè)游戲公平嗎？請(qǐng)說明理由．

 

Answer 1

 

1.解：（1） 樹狀圖為：

 

 

共有12種可能結(jié)果． ·································································································  3分

 

2.（2）游戲公平．   ································································································  4分

∵ 兩張牌的數(shù)字都是偶數(shù)有6種結(jié)果：

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

∴ 桐桐獲勝的概率P==．  ················································································ 5分

   大誠(chéng)獲勝的概率也為．························································································ 6分

∴ 游戲公平．

 

解析:略