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Omni-MATH / If a and b are randomly selected real numbers between 0 and 1, find the probability that the nearest integer to (a−b)/(a+b) is odd.

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problem

If aa and bb are randomly selected real numbers between 0 and 1, find the probability that the nearest integer to a−ba+b\frac{a-b}{a+b} is odd.
Plain-text mathematical notation (without MathML)
If a and b are randomly selected real numbers between 0 and 1, find the probability that the nearest integer to (a−b)/(a+b) is odd.
Original LaTeX notation
If $a$ and $b$ are randomly selected real numbers between 0 and 1, find the probability that the nearest integer to $\frac{a-b}{a+b}$ is odd.

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