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Omni-MATH / Pick a random digit in the decimal expansion of (1)/(99999). What is the probability that it is 0?

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problem

Pick a random digit in the decimal expansion of 199999\frac{1}{99999}. What is the probability that it is 0?
Plain-text mathematical notation (without MathML)
Pick a random digit in the decimal expansion of (1)/(99999). What is the probability that it is 0?
Original LaTeX notation
Pick a random digit in the decimal expansion of $\frac{1}{99999}$. What is the probability that it is 0?

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