In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?Has a brother Does not have a brotherHas a sister 7 3Does not have a sister 9 8
Question
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?Has a brother Does not have a brotherHas a sister 7 3Does not have a sister 9 8
Solution
Para resolver esta pregunta, sigamos los siguientes pasos:
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Identificar los datos de la tabla:
Tiene hermano No tiene hermano Tiene hermana 7 3 No tiene hermana 9 8 -
Calcular el total de estudiantes en la clase:
Total de estudiantes = (Tiene hermano y tiene hermana) + (Tiene hermano y no tiene hermana) + (No tiene hermano y tiene hermana) + (No tiene hermano y no tiene hermana)
Total de estudiantes = 7 + 3 + 9 + 8 = 27
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Identificar el número de estudiantes que tienen tanto un hermano como una hermana:
Según la tabla, el número de estudiantes que tienen tanto un hermano como una hermana es 7.
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Calcular la probabilidad de que un estudiante elegido al azar tenga tanto un hermano como una hermana:
Probabilidad = (Número de estudiantes que tienen tanto un hermano como una hermana) / (Total de estudiantes)
Probabilidad = 7 / 27
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Simplificar la fracción si es posible:
La fracción 7/27 no se puede simplificar más.
Por lo tanto, la probabilidad de que un estudiante elegido al azar tenga tanto un hermano como una hermana es .
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