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Conditional Probabilityhard
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Suppose a point (X,Y)(X, Y)(X,Y) is chosen uniformly at random from the region 0≤x≤1,0≤y≤10 \leq x \leq 1, 0 \leq y \leq 10≤x≤1,0≤y≤1. Given that X+Y>1X+Y > 1X+Y>1, what is the probability that X>0.5X > 0.5X>0.5?