Four hundred adults are polled, and 360 of them support universal health-care coverage. *E* is the event that an adult supports universal health-care coverage.

We are given that 400 adults are polled, and 360 of them support universal health-care coverage. Let *E* represent the event that an adult supports universal health-care coverage.

### Step-by-Step Breakdown:

1. **Total number of adults** = 400.
2. **Number of adults who support universal health-care coverage** = 360.

### To calculate the probability of event *E*:

The probability of an event *E* is calculated by:

\[
P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

In this case:

\[
P(E) = \frac{360}{400} = 0.9
\]

Thus, the probability that an adult supports universal health-care coverage is \( P(E) = 0.9 \).

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Would you like more details on how to interpret probabilities, or do you have any other questions?

Here are 5 related questions to deepen your understanding:
1. What is the probability that an adult does **not** support universal health-care coverage?
2. How would the probability change if only 300 adults supported universal health-care coverage?
3. If the poll was conducted again with 500 adults, and 450 supported universal health care, what would be the new probability?
4. What is the complement of the event *E*?
5. How can we use probability theory to predict future support for universal health-care coverage?

**Tip**: Probabilities always range between 0 and 1, where 0 means the event will never happen and 1 means it is certain to happen.

Four hundred adults are polled, and 360 of them support universal health-care coverage. *E* is the event that an adult supports universal health-care coverage.

Calculate the probability that an adult supports universal health-care coverage based on a poll of 400 adults, where 360 support the policy. This problem focuses on basic probability concepts and uses the formula P(E) = favorable outcomes / total outcomes, suitable for Grades 9-12 students.

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