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🎲 概率计算器Probability Calculator

输入两个独立事件 A、B 的概率,计算交集、并集、互斥或、都不发生和补集概率;也可计算 n 次重复中至少发生一次的概率。For two independent events A and B: P(A∩B), P(A∪B), exactly one, neither and complements; plus the chance of at least one success in n repeated trials.

使用说明与常见问题How-to & FAQ

「概率计算器」是什么?What is the Probability Calculator tool?

输入两个独立事件 A、B 的概率,计算交集、并集、互斥或、都不发生和补集概率;也可计算 n 次重复中至少发生一次的概率。For two independent events A and B: P(A∩B), P(A∪B), exactly one, neither and complements; plus the chance of at least one success in n repeated trials.

如何使用「概率计算器」?How do I use the Probability Calculator tool?

在「概率计算器」中,填写「P(A)」、「P(B)」、「概率格式」、「重复次数 n(可选)」等参数,结果会随输入实时计算并显示在下方。In the Probability Calculator: Fill in "P(A)", "P(B)", "Probability format", "Repetitions n (optional)"; results are recalculated instantly as you type.

事件不独立怎么办?What if the events are not independent?

本工具假设 A 与 B 相互独立(P(A∩B) = P(A)·P(B))。不独立时需要已知 P(A∩B) 或条件概率,结果会不同。This tool assumes A and B are independent (P(A∩B) = P(A)·P(B)). For dependent events you need P(A∩B) or a conditional probability, and results differ.

计算精度如何?How precise are the results?

「概率计算器」使用 JavaScript 双精度浮点数(约 15–16 位有效数字);极大或极小的数值可能存在精度误差。The Probability Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.

「概率计算器」免费吗?需要注册吗?Is the Probability Calculator free? Do I need an account?

「概率计算器」完全免费,无需注册或安装,打开网页即可使用,手机和电脑都能用;输入的内容只在你的浏览器本地处理。The Probability Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.

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