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MATH / A number is chosen uniformly at random from among the positive integers less…

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problem

A number is chosen uniformly at random from among the positive integers less than 10810^8. Given that the sum of the digits of the number is 9, what is the probability that the number is prime?
Plain-text mathematical notation (without MathML)
A number is chosen uniformly at random from among the positive integers less than 10⁸. Given that the sum of the digits of the number is 9, what is the probability that the number is prime?
Original LaTeX notation
A number is chosen uniformly at random from among the positive integers less than $10^8$. Given that the sum of the digits of the number is 9, what is the probability that the number is prime?

level

Level 4

type

Number Theory

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