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To solve the problem, we first need to understand how to convert a percentage to a probability. A percentage is a way of expressing a number as a fraction of 100. For example, if 42.8% of 3-year-olds are enrolled in day care, this means that out of 100 3-year-olds, 42.8 are enrolled in day care.

Here's how you can easily convert percentages to probabilities:
- **Step 1**: Take the given percentage.
- **Step 2**: Divide the percentage by 100 to get the probability.

In this exercise, you have 42.8%.
- Dividing 42.8 by 100 gives us 0.428.
This means the probability that a randomly selected 3-year-old is enrolled in day care is 0.428.

Calculating probability involves understanding how likely an event is to occur. Probability is a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event. In percentage terms, this ranges from 0% to 100%.

In the exercise, we calculate the probability as shown below:
- **Step 1**: Recognize that the percentage of 3-year-olds enrolled in day care is 42.8%.
- **Step 2**: Convert this percentage to a decimal by dividing by 100.

Mathematically, it can be expressed as: \[ P = \frac{42.8}{100} = 0.428 \]

This results in a probability of 0.428. So, out of all 3-year-olds, the chance that one selected at random is enrolled in day care is 0.428, or 42.8%.

Understanding statistics is vital for interpreting data in education. For educators and students alike, being able to comprehend and calculate probabilities enables better decision-making and data analysis.

In the context of the exercise, statistics helps quantify the likelihood of a 3-year-old being enrolled in day care. This is important for:
- **Policy Makers**: To assess and allocate resources for early childhood education.
- **Educators**: To understand enrollment trends and develop targeted programs.
- **Parents**: To make informed decisions about their child's education options.

Mastering the basics of probability and statistics enhances analytical skills and supports more informed conclusions based on quantitative data.

Thus, understanding how to convert percentages to probabilities and calculate the chance of different events is practical for various educational purposes.