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The image shows a probability problem based on a coin toss experiment, where four coins are flipped. The problem asks for a tree diagram that interprets the situation, which has been partially drawn. Each branch of the tree represents a possible outcome for a coin flip: "C" stands for heads ("cara") and "S" stands for tails ("sello").

Since four coins are tossed, the tree diagram needs to show all possible combinations of heads (C) and tails (S) for four flips. In total, there should be \( 2^4 = 16 \) possible outcomes. The tree diagram is constructed by branching each outcome of the coin flip into either heads (C) or tails (S) for each subsequent coin.

Each level in the tree corresponds to one coin toss, and the complete diagram should show four levels. The diagram represents the sample space of the experiment, with each path from the root to a leaf (a node at the end) representing a possible sequence of heads and tails in four tosses.

Would you like a breakdown of how to complete the tree, or any further explanation on how to interpret this situation?

Here are 5 related questions to deepen your understanding:

1. What is the total number of outcomes when flipping four coins?
2. How would you calculate the probability of getting exactly 3 heads in four coin tosses?
3. What is the probability of getting at least 2 tails in the four coin tosses?
4. How would you represent the probabilities of each outcome using a tree diagram?
5. What is the binomial distribution formula, and how does it apply to this experiment?

**Tip:** When constructing tree diagrams, it’s useful to ensure each branch represents a unique outcome and that you consider all possibilities at every stage.

Se lanzan cuatro monedas al aire. Se define la variable aleatoria X: número de caras obtenidas. A partir de lo anterior, determine el diagrama de árbol que interprete la situación.

This page explains how to construct a tree diagram for a probability experiment involving four coin tosses. It covers key concepts in probability and combinatorics, including total outcomes, the binomial theorem, and counting principles. Suitable for students in Grades 8-10.

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