Math Problem Statement

tell me js the answer

What is the probability a student has access to a car based on the data provided in the diagram?

Solution

To determine the probability P(car)P(\text{car}), we add the number of students who have access to a car (regardless of whether they have a license or not) and divide by the total number of students.

From the diagram:

  • Students with a license and a car: 215215
  • Students with no license and a car: 8585
  • Total students = 575+425=1000575 + 425 = 1000

Total number of students with access to a car:

215+85=300215 + 85 = 300

Probability a student has access to a car:

P(car)=3001000=0.3P(\text{car}) = \frac{300}{1000} = 0.3

The answer is 3001000\frac{300}{1000} or 0.30.3.

Would you like me to explain further or break down any part of this?

Here are 5 related questions to explore further:

  1. What is the probability a student does not have access to a car?
  2. What is the probability a student has a license but no car?
  3. What is the probability a student has no license and no car?
  4. What is the total number of students without a car?
  5. How do conditional probabilities work for this dataset (e.g., P(car | license)P(\text{car | license}))?

Tip: When calculating probabilities, ensure the total population aligns with the sum of all categories!

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Math Problem Analysis

Mathematical Concepts

Probability
Ratios
Basic Arithmetic

Formulas

P(event) = Number of favorable outcomes / Total number of outcomes

Theorems

Basic Probability Principles

Suitable Grade Level

Grades 6-9