题目内容

(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.


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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