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To solve the problem using a tree diagram or area model, let's analyze the structure of the corn maze. Here's a breakdown of the problem:

- The maze has several paths, and at each fork, participants are equally likely to take any of the available paths.
- The objective is to determine the probability that a participant wins money.

### Step 1: Identify the paths
There are several decision points (forks) in the maze:
1. The first fork splits into two paths.
2. Each of those two paths then splits again.

At the end of these paths, there are outcomes. The possible outcomes are:
- **Winning money (indicated by the $ symbol).**
- **Not winning money (indicated by "Nothing").**

### Step 2: Assign probabilities
Each path at every fork has an equal probability of being chosen. Since there are two paths at each fork, the probability of choosing any one path is $ \frac{1}{2} $.

### Step 3: Map the outcomes
From the tree diagram, we can see there are 4 possible outcomes after the participant has made all the decisions:
- Two outcomes lead to "Nothing."
- Two outcomes lead to winning money.

### Step 4: Calculate the probability of winning money
Out of the 4 possible outcomes, 2 lead to winning money. Therefore, the probability of winning money is the ratio of favorable outcomes to total outcomes:

\[
P(\text{Winning Money}) = \frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} = \frac{2}{4} = 0.50
\]

Thus, the probability that a participant wins money is **0.50**, corresponding to option **d**.

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Would you like further clarification on how to build the tree diagram, or do you have any questions about the reasoning?

Here are 5 related questions:
1. What is the probability of not winning money in this maze?
2. How would the probability change if there were more forks in the maze?
3. How can an area model represent the outcomes and probabilities in this scenario?
4. What if participants were not equally likely to choose each path—how would that affect the calculation?
5. How could we use the concept of expected value to analyze the game’s profitability for participants?

**Tip:** When using a tree diagram to solve probability problems, ensure that all possible outcomes are listed clearly, and the probabilities at each branch add up to 1.

Using a tree diagram or an area model, determine the probability that a participant wins money?

This problem explores how to use a tree diagram or an area model to calculate the probability of winning money in a maze scenario. Learn how to break down the problem using equally likely paths and calculate the chance of success. Suitable for students in Grades 6-8.

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