Pregunta
upstudy study bank question image url

6.1.2 Exam: Semester 2 Exam Question 18 of 40 A randomly generated list of integers from 1 to 5 is being used to simulate an event, with the numbers 1 and 2 representing a success. What is the estimated probability of a success? A. \( 50 \% \) B. \( 30 \% \) C. \( 20 \% \) D. \( 40 \% \)

Ask by Garrett Goodwin. in the United States
Jan 31,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The estimated probability of a success is 40%.

Solución

To determine the estimated probability of a success when randomly generating integers from 1 to 5, where the numbers **1** and **2** represent a success, follow these steps: 1. **Total Possible Outcomes:** The integers range from 1 to 5, so there are **5** possible outcomes. 2. **Number of Successful Outcomes:** The numbers **1** and **2** are considered successes. Therefore, there are **2** successful outcomes. 3. **Probability Calculation:** The probability \( P \) of a success is given by the ratio of the number of successful outcomes to the total number of possible outcomes: \[ P = \frac{\text{Number of Successful Outcomes}}{\text{Total Possible Outcomes}} = \frac{2}{5} = 0.4 \text{ or } 40\% \] **Answer:** **D. \( 40 \% \)**

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Beyond the Answer

To estimate the probability of a success, you first need to consider how many numbers in your range (1 to 5) represent a success. Since only numbers 1 and 2 indicate success, that gives us 2 successful outcomes out of 5 possible outcomes. This can be calculated as \( \frac{2}{5} \), which equals \( 0.4 \) or \( 40\% \). So, the answer is D. \( 40 \% \). Now, let’s consider how this concept of probabilities plays out in real life. For example, when rolling dice, understanding the probability of landing on a certain number can help in games or making decisions based on chance. In the context of sales forecasts, businesses might simulate various outcomes based on customers' choices to estimate success rates and adjust strategies accordingly.

preguntas relacionadas

Latest Probability Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad