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51问答网 > 甲乙丙三人解一道题，他们在一小时内解对的概率分别为5分之一，4分之1，3分之1，问这道难题的解对的概率是

甲乙丙三人解一道题，他们在一小时内解对的概率分别为5分之一，4分之1，3分之1，问这道难题的解对的概率是

2025-04-06 23:17:11

推荐回答（3个）

回答1：

1-4/5*3/4*2/3=3/5 1减去都错的概率~

回答2：

他们三个人解对互不相关，所以都是独立事件。
要求出解对的概率，求三人都解对的并集就行了。
公式就不用说了吧。

这里用对立事件更好求。三个人都解不对的概率是(4/5)*(3/4)*(2/3)=2/5
所以都解不对的对立事件，至少有一个人解对的概率就是1-2/5=3/5

回答3：

p=1-0.2*0.25*0.33=59/60

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