A. [img]https://img.shiyebian.net/gwyshijuan/633/112.png[/img]
B. [img]https://img.shiyebian.net/gwyshijuan/633/113.png[/img]
C. [img]https://img.shiyebian.net/gwyshijuan/633/114.png[/img]
D. [img]https://img.shiyebian.net/gwyshijuan/633/115.png[/img]
【答案】:B
方法一:六个人坐在圆型旋转木马的情况总数为[img]https://img.shiyebian.net/gwyshijuan/633/116.png[/img]。现先让四个孩子去坐,情况数为[img]https://img.shiyebian.net/gwyshijuan/633/117.png[/img],四个孩子之间可形成4个空,再让两个大人各选一个空,情况数为[img]https://img.shiyebian.net/gwyshijuan/633/118.png[/img],故两个大人不相邻的情况数为[img]https://img.shiyebian.net/gwyshijuan/633/119.png[/img],题目所求概率为[img]https://img.shiyebian.net/gwyshijuan/633/120.png[/img]。
方法二:六个人坐在圆型旋转木马的情况总数为[img]https://img.shiyebian.net/gwyshijuan/633/116.png[/img]。考虑反面,两个大人相邻情况数为[img]https://img.shiyebian.net/gwyshijuan/633/122.png[/img][img]https://img.shiyebian.net/gwyshijuan/633/123.png[/img],题目所求概率为[img]https://img.shiyebian.net/gwyshijuan/633/124.png[/img]。
故正确答案为B。
备注:n个人随机围绕圆桌就坐,情况数为[img]https://img.shiyebian.net/gwyshijuan/633/125.png[/img]。
方法一:六个人坐在圆型旋转木马的情况总数为[img]https://img.shiyebian.net/gwyshijuan/633/116.png[/img]。现先让四个孩子去坐,情况数为[img]https://img.shiyebian.net/gwyshijuan/633/117.png[/img],四个孩子之间可形成4个空,再让两个大人各选一个空,情况数为[img]https://img.shiyebian.net/gwyshijuan/633/118.png[/img],故两个大人不相邻的情况数为[img]https://img.shiyebian.net/gwyshijuan/633/119.png[/img],题目所求概率为[img]https://img.shiyebian.net/gwyshijuan/633/120.png[/img]。
方法二:六个人坐在圆型旋转木马的情况总数为[img]https://img.shiyebian.net/gwyshijuan/633/116.png[/img]。考虑反面,两个大人相邻情况数为[img]https://img.shiyebian.net/gwyshijuan/633/122.png[/img][img]https://img.shiyebian.net/gwyshijuan/633/123.png[/img],题目所求概率为[img]https://img.shiyebian.net/gwyshijuan/633/124.png[/img]。
故正确答案为B。
备注:n个人随机围绕圆桌就坐,情况数为[img]https://img.shiyebian.net/gwyshijuan/633/125.png[/img]。
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