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Omni-MATH / Alice is once again very bored in class. On a whim, she chooses three primes p,q,r independently and uniformly at random from the set of primes of at most 30. She then calculates t…

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problem

Alice is once again very bored in class. On a whim, she chooses three primes p,q,rp, q, r independently and uniformly at random from the set of primes of at most 30. She then calculates the roots of px2+qx+rp x^{2}+q x+r. What is the probability that at least one of her roots is an integer?
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Alice is once again very bored in class. On a whim, she chooses three primes p,q,r independently and uniformly at random from the set of primes of at most 30. She then calculates the roots of px²+qx+r. What is the probability that at least one of her roots is an integer?
Original LaTeX notation
Alice is once again very bored in class. On a whim, she chooses three primes $p, q, r$ independently and uniformly at random from the set of primes of at most 30. She then calculates the roots of $p x^{2}+q x+r$. What is the probability that at least one of her roots is an integer?

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task_id
4d5776e4-82c3-5252-8177-811968fc89dd
task_key
test--4d5776e4-82c3-5252-8177-811968fc89dd
task_revision_id
1
config / split
/ test

Official source

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