Pregunta
upstudy study bank question image url

How many possible outcomes would there be if three coins were tossed once?

Ask by Marsh Bright. in the United States
Jan 30,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

There are 8 possible outcomes when tossing three coins once. The outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Solución

When tossing three coins simultaneously, each coin has two possible outcomes: **Heads (H)** or **Tails (T)**. To determine the total number of possible outcomes, you can use the multiplication principle of counting. Here's how it works: - **First Coin:** 2 possible outcomes (H or T) - **Second Coin:** 2 possible outcomes (H or T) - **Third Coin:** 2 possible outcomes (H or T) Multiply the number of outcomes for each coin together: \[ 2 \times 2 \times 2 = 8 \] So, there are **8 possible outcomes** when tossing three coins once. **The possible outcomes are:** 1. H H H 2. H H T 3. H T H 4. H T T 5. T H H 6. T H T 7. T T H 8. T T T Each combination represents a unique outcome based on the sequence of heads and tails.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Extra Insights

When you toss three coins, each coin can either land on heads (H) or tails (T). This creates a scenario with multiple combinations. Since each coin acts independently, you can visualize it as a branching system: the first coin has 2 outcomes, the second coin has 2 outcomes, and the third coin also has 2 outcomes. By multiplying the outcomes together (2 x 2 x 2), you end up with a grand total of 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT. Exploring this concept can lead to understanding binary systems and probability! Tossing three coins and getting heads or tails each time is not just a game of chance; it’s a delightful introduction to the world of combinations. If you toss a coin, think of it as flipping a decision! You could even try it out with different variables, like adding more coins or introducing a fun twist with colored coins!

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