Établissement
Lycée Emmanuel d'Alzon (Nîmes)
Année
2023-2024
Résumé
1. Assume a stick is randomly broken into three pieces. What is the probability that the obtained pieces can form a triangle?
2. Let be the following numbers: 1, 2, 3, 4,…, n. We randomly choose 3 of them. What is the probability that the chosen numbers can be the lengths of the sides of a triangle?
3. We are wondering what happens if we modify problem 2, considering another sets of numbers. For example, what is probability for the set {1^2, 2^2,...., n^2} or {1^3,2^3,...., n^3} etc.
4. Secondly, what is the probability that four randomly chosen numbers of these sets can be the lengths of the sides of a quadrilateral?
2. Let be the following numbers: 1, 2, 3, 4,…, n. We randomly choose 3 of them. What is the probability that the chosen numbers can be the lengths of the sides of a triangle?
3. We are wondering what happens if we modify problem 2, considering another sets of numbers. For example, what is probability for the set {1^2, 2^2,...., n^2} or {1^3,2^3,...., n^3} etc.
4. Secondly, what is the probability that four randomly chosen numbers of these sets can be the lengths of the sides of a quadrilateral?
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Type de présentation au congrès
Exposé