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2962Sup-Norm Distance Below One QuarterTwo independent random points are drawn uniformly from the unit square. What is the probability that their L distance is at most 1/4?概率中等derivation未尝试面试订阅2963Closer to the Center Than to the Left EdgeA random point (X,Y) is uniform in the unit square. What is the probability that the point is closer to the center (1/2,1/2) than to the left edge x=0?概率困难derivation未尝试面试订阅2964Expected Area of the Rectangle to the OriginA random point (X,Y) is uniform in the unit square. Consider the axis-aligned rectangle with opposite corners at (0,0) and (X,Y). What is the expected area of that rectangle?概率简单derivation未尝试面试订阅2965Exactly One Point in the Middle ThirdTwo independent random points are drawn uniformly from [0,1]. What is the probability that exactly one of them falls in the middle third interval [1/3,2/3]?概率简单derivation未尝试面试订阅