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To solve this problem, we need to calculate the probability of randomly choosing a can of soda from the given set of items. Here's the step-by-step process:

1. **Count the total number of items**: This includes all bottles, juice boxes, and cans.
2. **Count the number of cans of soda**.
3. **Calculate the probability**: The probability is the number of cans divided by the total number of items.

**Step 1: Counting the total number of items:**

- There are 4 water bottles.
- There are 4 juice boxes.
- There are 2 cans of soda.

So, the total number of items = 4 (water bottles) + 4 (juice boxes) + 2 (cans of soda) = **10 items**.

**Step 2: Counting the number of cans of soda:**

- There are 2 cans of soda.

**Step 3: Calculate the probability:**

The probability of randomly choosing a can of soda = Number of cans / Total number of items = \( \frac{2}{10} \).

This fraction simplifies to \( \frac{1}{5} \).

Thus, the probability is \( \frac{1}{5} \). 

### Answer:
The numerator of the simplified fraction is **1**.

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Would you like more details or have any questions about this solution?

Here are 5 related questions you might consider:
1. What is the probability of choosing a juice box?
2. How would the probability change if another can of soda was added?
3. If one item is removed at random, what is the new probability of selecting a can of soda?
4. What is the probability of selecting either a can of soda or a juice box?
5. How would the problem change if each item had a different likelihood of being chosen?

**Tip:** Always simplify fractions when calculating probabilities to make the results easier to interpret!

What is the probability of randomly choosing a can of soda?

Learn how to calculate the probability of randomly choosing a can of soda from a set of items. This problem involves counting, fraction simplification, and understanding basic probability concepts. Ideal for students in Grades 4-6.

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