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In a class of 30 students, 20 are female and 5 have an A in the class. There are 3 students who are female and have an A in the class. What is the probability that a student chosen randomly from the class is a female?

Question

In a class of 30 students, 20 are female and 5 have an A in the class. There are 3 students who are female and have an A in the class. What is the probability that a student chosen randomly from the class is a female?

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Solution

Para resolver esta pregunta, sigamos los siguientes pasos:

  1. Determinar el número total de estudiantes en la clase:

    • Total de estudiantes = 30
  2. Determinar el número de estudiantes femeninas:

    • Estudiantes femeninas = 20
  3. Calcular la probabilidad de que un estudiante elegido al azar sea femenino:

    • La probabilidad se calcula dividiendo el número de estudiantes femeninas por el número total de estudiantes.
    • Probabilidad = Número de estudiantes femeninas / Número total de estudiantes
    • Probabilidad = 20 / 30
  4. Simplificar la fracción:

    • Probabilidad = 2 / 3

Por lo tanto, la probabilidad de que un estudiante elegido al azar sea femenino es 2/3.

This problem has been solved

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