hello, How do I calculate P(X>=Y) where X,y having the uniform density on {0,1...N}?
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Originally Posted by adirh hello, How do I calculate P(X>=Y) where X,y having the uniform density on {0,1...N}? Just make a grid. Y is the vertical axis, X is the horizontal axis. Every point has the same probability: since there are points. There are points along the diagonal Y = X. So the number of points such that is . Therefore .
Originally Posted by adirh hello, How do I calculate P(X>=Y) where X,y having the uniform density on {0,1...N}? Mr. F has already given you a first-rate answer, but here's another way to proceed just for the fun of it. By the formula for the probability of a union, Now and by symmetry, so . Solve this equation for .
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