n a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat?Has a cat Does not have a catHas a dog 7 3Does not have a dog 6 2
Question
n a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student chosen randomly from the class does not have a cat?Has a cat Does not have a catHas a dog 7 3Does not have a dog 6 2
Solution
Para resolver esta pregunta, sigamos los siguientes pasos:
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Sumar el total de estudiantes en la clase:
- Estudiantes que tienen un perro y un gato: 7
- Estudiantes que tienen un perro pero no un gato: 3
- Estudiantes que no tienen un perro pero tienen un gato: 6
- Estudiantes que no tienen ni un perro ni un gato: 2
Total de estudiantes = 7 + 3 + 6 + 2 = 18
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Determinar cuántos estudiantes no tienen un gato:
- Estudiantes que tienen un perro pero no un gato: 3
- Estudiantes que no tienen ni un perro ni un gato: 2
Total de estudiantes que no tienen un gato = 3 + 2 = 5
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Calcular la probabilidad de que un estudiante elegido al azar no tenga un gato:
- Probabilidad = (Número de estudiantes que no tienen un gato) / (Total de estudiantes)
Probabilidad = 5 / 18
Por lo tanto, la probabilidad de que un estudiante elegido al azar no tenga un gato es .
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