五十道概率挑战题
Fifty challenging problems in probability
Frederick Mosteller · 初版 1965 年
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你能解开“The Unfair Subway”的谜题吗？Marvin 在下午3点到5点之间的随机时间下班。他的母亲住在城北（uptown），女友住在城南（downtown）。无论哪个方向的地铁先到，他就坐哪一趟，并与地铁首先送达的那位共进晚餐。他的母亲抱怨他从不来看她，但他辩解说母亲有50%的机会。在过去的20个工作日里，他只陪母亲吃过两次晚饭。请解释原因。Marvin 在概率世界中的奇遇是书中五十个引人入胜的谜题之一，阐释了概率学的基础与高阶层面，每个问题都旨在
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基础概率与统计：1. De Veaux、Velleman 和 Bock 合著的《Stats: Data and Models》 2. Mosteller 的《Fifty Challenging Problems in Probability with Solutions》 3. http://yudkowsky.net/rational/bayes 基础数据分析：1. Wes McKinney 的《Python for Data Analysis》 2. http://camdavidsonpilon.github.io/Probabilistic-Programming-...…
Basic prob & stats: 1. _Stats: Data and Models_ by De Veaux, Velleman & Bock 2. _Fifty Challenging Problems in Probability with Solutions_ by Mosteller 3. http://yudkowsky.net/rational/bayes Basic data analysis: 1. _Python for Data Analysis_ by Wes McKinney 2. http://camdavidsonpilon.github.io/Probabilistic-Programming-...…
Sheldon Ross 的《A First Course in Probability》前 1-5 章就很适合这个目的。可以考虑用 Mosteller 的《Fifty Challenging Problems in Probability》来测试/巩固你的知识储备。
Ch. 1-5 of Sheldon Ross's "A First Course in Probability" works for this purpose. Consider testing/hardening your knowledge with Mosteller's "Fifty Challenging Problems in Probability".
……详尽的 Douglas West 的《Combinatorial Mathematics》[2] 至少提供了提示。不过这些都是进阶教材。题解类资源的另一个来源是各类“习题集”图书。Dover 出版社出过一些实惠的好书，比如《Fifty Challenging Problems in Probability》[3]。还有其他经典之作，比如《Combinatorial Problems and Exercises》[4] 或《Proofs from the Book》[5]，里面全都有习题解答。[1] https://www.cambridge.org/core/books/algorithm-design-with-h...…
…exhaustive Combinatorial Mathematics by Douglas West [2] provides hints at least. These are advanced texts though. Another source of solved problems are "problems in" books. Dover offers affordable titles like Fifty Challenging Problems in Probability [3]. There are other classics like Combinatorial Problems and Exercises [4] or Proofs from the Book [5], all with solved exercises. [1] https://www.cambridge.org/core/books/algorithm-design-with-h...…
……分析 • 多变量微积分与分析教程 • 微分方程及其应用与历史注解 • 概率与随机过程（Grimmet） • 通过做题学概率 • 概率论中的五十个挑战性难题及解答 • 数理统计的纯粹与无限乐趣 • 误差分析导论
…Analysis • A Course in Multivariable Calculus and Analysis • Differential Equations With Applications and Historical Notes • Probability and Random Processes (Grimmet) • Probability Through Problems • Fifty Challenging Problems in Probability with Solutions • The Simple and Infinite Joy of Mathematical Statistics • An Introduction to Error Analysis