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某次投资活动中在三个箱子中均放有红、黄、绿、蓝、紫、橙、白、黑8种颜色的球各一个。奖励规则如下:从三个箱子分别摸出一个球,摸出的3个球均为红球得一等奖,摸出的3个球至少有一个绿球得二等奖,摸出的3个球均为彩色球(黑、白除外)得三等奖,那么不中奖的概率是:

单选题
2022-01-02 00:22
A、0至25%之间
B、25至50%之间
C、50至75%之间
D、75至100%之间
查看答案

正确答案
B

试题解析
方法一:   均为彩色球的情况包含均为红色的情况,但不包含绿色,8个球除了黑白绿还剩下5个球,故中一和三等奖的方法数=种;   考虑中二等奖情况数,至少有一个绿球的反面为所抽中的球没有1个是绿球,其情况数=;则中一、二、三等奖总的情况数= ,总的方法数为=512种,则可得不中奖的概率=。方法二:根据题意,可得若抽到的3个小球中无绿球且有黑白球则不中奖,分情况讨论:若3个球全是黑白球,概率;若3个球中2个是黑白球,1个球是其他球(即非黑白非绿),概率;若3个球中1个是黑白球,2个球是其他球(即非黑白非绿),概率;则不中奖的概率=。

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某次投资活动中在三个箱子中均放有红、黄、绿、蓝、紫、橙、白、黑8种颜色的球各一个。奖励规则如下:从三个箱子分别摸出一个球,摸出的3个球均为红球得一等奖,摸出的3个球至少有一个绿球得二等奖,摸出的3个球均为彩色球(黑、白除外)得三等奖,那么不中奖的概率是:
某次投资活动在三个箱子中均放有红、黄、绿、蓝、紫、橙、白、黑8种颜色的球各一个,奖励规则如下:从三个箱子中分别摸出一个球,摸出的3个球均为红球的得一等奖,摸出的3个球中至少有一个绿球的得二等奖,摸出的3个球均为彩色球(黑.白除外)的得三等奖。那么不中奖的概念是
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