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

Titre du sujet: 
Probabilities and triangles
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Sujet jumelé ?: 
Oui
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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.
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Nombre d'élèves : 
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