\binom{15}{4}
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- Pregunta: Una caja contiene 6 bolas rojas y 9 bolas azules. Si se extraen cuatro bolas al azar sin reemplazo, ¿cuál es la probabilidad de que exactamente dos sean rojas?
- Solución: Utilizamos el concepto de combinaciones para calcular la probabilidad.
- Número total de formas de extraer 4 bolas de 15:
- Número de formas de extraer 2 bolas rojas de 6:
- \binom{6}{2}
- Número de formas de extraer 2 bolas azules de 9:
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