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The problem asks to find the probability that someone *doesn't have red shoes* and *likes basketball*.

From the table, we can see:

- The number of people who like basketball and don't have red shoes is **5** (from the row "Like basketball" and column "Don't have red shoes").
- The total number of people surveyed is **23** (bottom-right corner of the table).

The probability is calculated by dividing the favorable outcomes (those who like basketball and don't have red shoes) by the total number of people.

\[
P(\text{Doesn't have red shoes and likes basketball}) = \frac{5}{23}
\]

So, the probability is:

\[
\frac{5}{23}
\]

Let me know if you'd like more details or have any questions!

Here are 5 related questions:
1. What is the probability that someone has red shoes and likes basketball?
2. What is the probability that someone does not like basketball, given that they have red shoes?
3. What is the probability that someone likes basketball?
4. What is the probability that someone has red shoes, regardless of whether they like basketball?
5. What is the probability that someone does not like basketball and does not have red shoes?

**Tip:** In probability, when working with two-way tables, it’s important to carefully identify both the specific condition you're focusing on and the total number of outcomes in the entire sample.

What is the probability that someone doesn't have red shoes and likes basketball?

Learn how to calculate the probability that someone doesn't have red shoes and likes basketball using a two-way table. This problem covers key probability concepts and involves finding the ratio of favorable outcomes to total outcomes. Suitable for students in Grades 6-8.

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