2013 AMC 8 第 8 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。
8.
一枚公平硬币被抛 次。至少出现两个连续正面的概率是多少?
A fair coin is tossed times. What is the probability of at least two consecutive heads?
小提示:
列出三次抛硬币的 种可能结果
List the possible outcomes of three coin tosses.
大提示:
只统计含有 的结果
Count only outcomes containing .
视频讲解:
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文字解答:
至少有两个连续正面的结果是 、 和 。三次公平抛硬币共有 个等可能结果,所以概率为 。
所以正确答案是 C。
The outcomes with at least two consecutive heads are , , and . There are equally likely outcomes from three fair coin tosses, so the probability is .
Thus, C is the correct answer.
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