2002 AMC 8 第 12 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

12.

一个桌游转盘分成标有 AABBCC 的三个区域。指针停在区域 AA 的概率是 13\frac{1}{3},停在区域 BB 的概率是 12\frac{1}{2}。指针停在区域 CC 的概率是

A board game spinner is divided into three regions labeled A,A, BB and C.C. The probability of the arrow stopping on region AA is 13\frac{1}{3} and on region BB is 12.\frac{1}{2}. The probability of the arrow stopping on region CC is

112\dfrac{1}{12}

16\dfrac{1}{6}

15\dfrac{1}{5}

13\dfrac{1}{3}

25\dfrac{2}{5}

答案:B
知识点:基本概率对立事件概率
难度评级:1090
解答:

总概率为 11。要得到 CC 的概率,需要减去落在 AABB 的概率: 11312=16. 1 - \dfrac{1}{3} - \dfrac{1}{2} = \dfrac{1}{6}.

所以正确答案是 B

The total probability is 1.1. We need to subtract the probability of the spinner landing on BB and AA to get C,C, which is 11312=16. 1 - \dfrac{1}{3} - \dfrac{1}{2} = \dfrac{1}{6}.

Thus, B is the correct answer.

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