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Abstract
El problema del cumpleaños, en el contexto clásico, se resuelve asumiendo una distribución de probabilidades uniforme discreta de los nacimientos. El propósito de este artículo es resolver el mismo problema bajo una distribución de probabilidades discreta arbitraria, y demostrar que bajo la distribución uniforme discreta, la probabilidad de que dos o más personas cumplan años en el mismo día es subestimada.
Palabras clave: combinatoria, probabilidad, distribuciones discretas, muestra aleatoria, Simplex.
Abstract
In the classic context, the birthday problem is solved assuming a discrete uniform probability distribution of births. The main purpose of this paper is to solve the birthday problem through an arbitrary discrete probability distribution and to prove that using discrete uniform distribution, probability of two or more people’s birthday at the same date is underestimated.
Key words: combinatorial, probability, discrete distributions, random sample, simplex.
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