Math Problem Statement

Diagrama de lanzar 4 monedas al aire hacer espacio muestral del experimento

Diagrama de lanzar 4 monedas al aire hacer espacio muestral del experimento

Solution

The image you've uploaded shows a diagram that represents the possible outcomes of an experiment where 4 coins are tossed in the air. In the diagram, each branch likely represents the outcome of either a Head (C) or a Tail (S) (assuming these symbols represent C = Cara (Heads) and S = Sello (Tails)). This is a binary tree that maps out the possible results of the experiment.

The total possible outcomes of tossing 4 coins can be represented as:

  • For each toss, there are 2 possibilities: either Heads (C) or Tails (S).
  • The total number of outcomes is 24=162^4 = 16.

The tree diagram you have drawn is a way to systematically list out all of these outcomes by following branches for each coin toss.

Possible outcomes in this experiment:

  1. CCCC
  2. CCCS
  3. CCSC
  4. CCSS
  5. CSCC
  6. CSCS
  7. CSSC
  8. CSSS
  9. SCCC
  10. SCCS
  11. SCSC
  12. SCSS
  13. SSCC
  14. SSCS
  15. SSSC
  16. SSSS

These are the 16 possible combinations for the 4 coin tosses.

Would you like me to explain more about how the tree diagram represents these outcomes or discuss probabilities related to this experiment?

Relative questions:

  1. What are the odds of getting exactly 2 heads and 2 tails in the experiment?
  2. How would the diagram change if we tossed 3 coins instead of 4?
  3. Can we use this diagram to compute probabilities for specific outcomes (e.g., all heads)?
  4. How can we relate this coin-toss experiment to binomial probability?
  5. What happens to the number of possible outcomes as the number of coin tosses increases?

Tip: The total number of possible outcomes in a coin toss experiment follows the formula 2n2^n, where nn is the number of coins tossed.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics

Formulas

2^n to calculate the total possible outcomes

Theorems

Binomial probability theorem

Suitable Grade Level

Grades 6-9