Recall from the lesson that this Venn diagram represents 100 people’s responses to three different statements about their favorite ways to eat ice cream. Based on the diagram, what is the probability that a person prefers sprinkles or prefers chocolate on their ice cream? Express your answer as a fraction. You do not need to reduce. (1 point) The probability that a person prefers sprinkles or chocolate is .

To determine the probability that a person prefers sprinkles or chocolate based on the Venn diagram, we need to count the number of people who fall into either category, including those who prefer both.

Let's denote:

• \( S \) as the set of people who prefer sprinkles,
• \( C \) as the set of people who prefer chocolate.

The probability of a person preferring sprinkles or chocolate can be calculated using the formula:

\[ P(S \cup C) = P(S) + P(C) - P(S \cap C) \]

Where \( P(S \cap C) \) is the probability that the person prefers both sprinkles and chocolate.

Assuming the Venn diagram provides the counts for the different sections associated with these preferences:

• \( n(S) \): Number of people who prefer sprinkles
• \( n(C) \): Number of people who prefer chocolate
• \( n(S \cap C) \): Number of people who prefer both

The total number of surveyed people is given as 100.

Once you count the values from the Venn diagram:

1. Identify the number of people who prefer sprinkles only, chocolate only, both, and neither.
2. Use these counts in the formula to find \( n(S \cup C) \).

Finally, calculate the probability:

\[ P(S \cup C) = \frac{n(S \cup C)}{100} \]

Plug in the correct counts to get your answer as a fraction. If you provide the counts from the diagram, I could help you further in computing the probability!