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Mathematics, 31.07.2019 04:20 katie673

Two real numbers x and y are chosen at random in the interval (0,1) uniformly. the probability that the closest integer to x/y is even can be expressed in the form r + s/pi, where r and s are rational numbers. given the identity pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9. find r+s.

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