Probabilities and triangles - Colegiul National Mihail Eminescu (Satu Mare - Roumanie) Lycée Bellevue (Alès)

Titre du sujet
Probabilities and triangles
Établissement
Colegiul National Mihail Eminescu (Satu Mare - Roumanie)
Année
2017-2018
Etablissement(s) jumelé(s)
Lycée Bellevue (Alès)
Résumé
What is the probability that four randomly chosen numbers of these sets be the lengths of the sides of a quadrilateral?
Let be the set {1^2, 2^2,...., n^2}. a) We randomly choose 3 of them. What is the probability that the chosen numbers be the lengths of the sides of a triangle? b) If we randomly choose 4 of them, what is the probability that the chosen numbers be the lengths of the sides of a quadrilateral?
Solve the same problem for the set {1^3,2^3,...., n^3}, etc.
Sujet complet