问题 解答题

(6分)某初级中学准备随机选出七、八、九三个年级各1名学生担任领操员.现已知这三个年级分别选送一男、一女共6名学生为备选人.

小题1:(1)请你利用树状图或表格列出所有可能的选法;

小题2:(2)求选出“两男一女”三名领操员的概率.

答案

小题1:解法一:(1)用表格列出所有可能结果:

七年级八年级九年级结果
(男,男,男)
(男,男,女)
(男,女,男)
(男,女,女)
(女,女,女)
(女,女,男)
(女,男,女)
(女,男,男)
 

·········································································································· 3分

解法二:(1)用树状图列出所有可能结果:

·········································································································· 3分

小题2:(2)从上表可知:共有8种结果,且每种结果都是等可能的,其中“两男一女”的结果有3种.     5分

所以,P(两男一女)=.········································································ 6分

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