A group of people were asked if they had run a red light in the last year. 389 responded "yes", and 408 responded "no".

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

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

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

Here, the "favorable outcome" is someone who responded "yes" (i.e., they ran a red light), and the total number of outcomes is the total number of people surveyed.

Given:
- Number of people who said "yes" = 389
- Number of people who said "no" = 408

Total number of people surveyed = 389 + 408 = 797

So, the probability \( P \) that a randomly selected person has run a red light is:

\[
P(\text{run red light}) = \frac{389}{797} \approx 0.4881
\]

Thus, the probability is approximately 0.4881, or 48.81%.

Would you like further details or have any other questions?

---

Here are 5 related questions:
1. What is the probability that a randomly chosen person has **not** run a red light?
2. How would the probability change if 50 more people had said "yes"?
3. What is the complement of the event that a person has run a red light?
4. How do you calculate probability if the sample size changes?
5. Can we consider this survey to be a good representation of the whole population?

**Tip:** Probabilities are always between 0 and 1, with 0 meaning impossible and 1 meaning certain.

A group of people were asked if they had run a red light in the last year. 389 responded 'yes', and 408 responded 'no'. Find the probability that if a person is chosen at random, they have run a red light in the last year.

Find the probability that a randomly selected person has run a red light, given a survey where 389 people responded 'yes' and 408 responded 'no'. Learn how to apply basic probability concepts and formulas in this problem, suitable for 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