In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play an instrument?Plays an instrument Does not play an instrumentPlays a sport 5 3Does not play a sport 9 12
Question
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play an instrument?Plays an instrument Does not play an instrumentPlays a sport 5 3Does not play a sport 9 12
Solution
Para resolver esta pregunta, sigamos los siguientes pasos:
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Sumar el total de estudiantes en la clase:
- Estudiantes que juegan un deporte y tocan un instrumento: 5
- Estudiantes que juegan un deporte y no tocan un instrumento: 3
- Estudiantes que no juegan un deporte y tocan un instrumento: 9
- Estudiantes que no juegan un deporte y no tocan un instrumento: 12
Total de estudiantes = 5 + 3 + 9 + 12 = 29
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Determinar el número de estudiantes que no tocan un instrumento:
- Estudiantes que juegan un deporte y no tocan un instrumento: 3
- Estudiantes que no juegan un deporte y no tocan un instrumento: 12
Total de estudiantes que no tocan un instrumento = 3 + 12 = 15
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Calcular la probabilidad de que un estudiante elegido al azar no toque un instrumento:
- Probabilidad = (Número de estudiantes que no tocan un instrumento) / (Total de estudiantes)
Probabilidad = 15 / 29
Por lo tanto, la probabilidad de que un estudiante elegido al azar no toque un instrumento es .
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