A group of people were asked if they had run a red light in the last year. 243 responded "yes", and 224 responded "no".

Find the probability that if a person is chosen at random, they have run a red light in the last year.

  

Give your answer as a fraction or decimal accurate to at least 3 decimal places

To find the probability that a randomly chosen person has run a red light in the last year, we use the formula for probability:

\[
P(\text{run red light}) = \frac{\text{number of "yes" responses}}{\text{total number of responses}}
\]

Given:
- Number of "yes" responses = 243
- Number of "no" responses = 224
- Total number of responses = 243 + 224 = 467

Now, the probability is:

\[
P(\text{run red light}) = \frac{243}{467} \approx 0.520
\]

So, the probability that a randomly chosen person has run a red light in the last year is approximately \( 0.520 \) or \( \frac{243}{467} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the probability that a randomly chosen person has **not** run a red light in the last year?
2. How would the probability change if 50 more people responded "yes"?
3. If another survey was conducted with double the number of respondents, how might the results differ?
4. How can probabilities be used to predict future survey outcomes?
5. What is the probability if 75% of the people had run a red light?

**Tip**: Probabilities are always between 0 and 1, where 1 means the event is certain to happen, and 0 means it is impossible.

A group of people were asked if they had run a red light in the last year. 243 responded 'yes', and 224 responded 'no'. Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places.

This probability problem involves a survey where 243 people responded 'yes' and 224 responded 'no' to the question of running a red light in the last year. Learn how to calculate the probability of a randomly chosen person running a red light, expressed as a fraction and decimal to three decimal places. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation