1999 AMC 8 第 10 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。

10.

一个交通灯的完整周期为 6060 秒。每个周期中绿灯 2525 秒,黄灯 55 秒,红灯 3030 秒。在随机选取的一个时刻,交通灯不是绿灯的概率是多少?

A complete cycle of a traffic light takes 6060 seconds. During each cycle the light is green for 2525 seconds, yellow for 55 seconds, and red for 3030 seconds. At a randomly chosen time, what is the probability that the light will NOT be green?

14\dfrac{1}{4}

13\dfrac{1}{3}

512\dfrac{5}{12}

12\dfrac{1}{2}

712\dfrac{7}{12}

答案:E
知识点:几何概率对立事件概率
难度评级:980
解答:

在一个周期中,交通灯不是绿灯的时间为 30+5=3530 + 5 = 35 秒。

所以不是绿灯的概率为 3560=712. \dfrac{35}{60} = \dfrac{7}{12}.

所以正确答案是 E

During a given cycle, the light is not green for 30+5=3530 + 5 = 35 seconds.

Then the probability that it is not green is 3560=712. \dfrac{35}{60} = \dfrac{7}{12}.

Thus, E is the correct answer.

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