Math Problem Statement
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 .
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:
- CCCC
- CCCS
- CCSC
- CCSS
- CSCC
- CSCS
- CSSC
- CSSS
- SCCC
- SCCS
- SCSC
- SCSS
- SSCC
- SSCS
- SSSC
- 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:
- What are the odds of getting exactly 2 heads and 2 tails in the experiment?
- How would the diagram change if we tossed 3 coins instead of 4?
- Can we use this diagram to compute probabilities for specific outcomes (e.g., all heads)?
- How can we relate this coin-toss experiment to binomial probability?
- 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 , where is the number of coins tossed.
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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