olymmath

HMMT November 2022 H5

  • Theme

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?

Dataset text NuminaMath olympiads. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator hmnt/2022/h5 · Tag XG5SBX4Q5P · Edit this page on GitHub · Keys: j next, k previous