AI 中文总结
本文研究布莱克威尔赌注技术，证明其可构造期望值低于或高于父集的未观测项子集，并在任意值项、伯努利试验情形下讨论，相关模拟补充了递归关系的实例应用。
AI 中文摘要
布莱克威尔赌注（又称覆盖猜谜游戏）是一种利用随机变量的巧妙方法，仅允许观测两个数中的一个时，可提高猜中两数大小的概率。该技术迄今已被用于以优于随机的结果进行猜测或预测。本文证明该技术还可用于构造未观测项的子集，这些子集的期望值分别低于和高于父集的期望值。我们在两种情形下讨论该问题：相关项可取任意值，以及相关项为伯努利试验。当实际公式需要递归关系时，我们还在实例中包含了模拟。
英文摘要
Blackwells Bet (also known as the Cover Guessing Game) is an extremely clever use of a random variable to improve the probability of guessing which of two numbers is larger when you are only allowed to observe one of those numbers. This technique has hitherto been used to guess or predict outcomes with better-than-chance results. We show that this technique can also be used to construct subsets of unobserved items which have expected values below and above the expected value of the parent set. We discuss this in two situations: when the items in question can have arbitrary values, and when the items in question are Bernoulli trials. We also include simulations in an instance when the actual formulas require extensive.iteration of recursively-defined relations.
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