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.

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!