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To find the probability that a person polled prefers chocolate ice cream over vanilla, we can use the ratio of the number of people who prefer chocolate to the total number of people polled.

Here are the steps to solve the problem:

1. **Total number of people polled**: \( 1883 \)
2. **Number of people who prefer chocolate ice cream**: \( 409 \)

The probability \( P \) that a randomly selected person prefers chocolate over vanilla is given by:

\[
P(\text{prefers chocolate}) = \frac{\text{Number of people who prefer chocolate}}{\text{Total number of people}}
\]

Substitute the numbers:

\[
P(\text{prefers chocolate}) = \frac{409}{1883} \approx 0.2172
\]

So, the probability that a person who was polled prefers chocolate ice cream to vanilla is approximately **0.2172** when rounded to four decimal places.

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

Here are some related questions to expand on this topic:

1. What is the probability of someone preferring vanilla ice cream instead?
2. How would the probability change if 100 more people preferred chocolate?
3. What is the complementary probability in this scenario?
4. How would you calculate probabilities if there were more flavor options?
5. How does sample size affect the accuracy of this probability?

**Tip:** When calculating probabilities, always ensure the total of all possible outcomes sums to 1.

What is the probability that a person who was polled prefers chocolate ice cream to vanilla?

Learn how to calculate the probability that a randomly selected person from a survey prefers chocolate ice cream over vanilla. This problem involves using basic probability rules and ratio concepts. The data includes 409 out of 1883 people favoring chocolate.

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