Math Problem Statement

After giving a test to a group of students, below is the summary of grades and gender.

A B C Total Male 19 18 20 57 Female 8 16 7 31 Total 27 34 27 88

If a student was randomly chosen, find the probability that the student earned a B. Round your answer to three decimal places.

Solution

To find the probability that a randomly chosen student earned a grade of B, we need to use the formula for probability:

P(B)=Number of students who earned BTotal number of studentsP(\text{B}) = \frac{\text{Number of students who earned B}}{\text{Total number of students}}

From the data provided, the total number of students who earned a grade of B is 34, and the total number of students in the group is 88.

Thus, the probability is:

P(B)=3488P(\text{B}) = \frac{34}{88}

Now, we compute this and round it to three decimal places.

P(B)34880.386P(\text{B}) \approx \frac{34}{88} \approx 0.386

So, the probability that a randomly chosen student earned a B is approximately 0.386.

Would you like further details on this calculation or have any other questions?

Here are 5 related questions:

  1. What is the probability that a randomly chosen student is male?
  2. What is the probability that a randomly chosen student is female and earned a B?
  3. What is the probability that a randomly chosen student earned an A?
  4. What is the probability that a male student earned a C?
  5. What is the probability that a randomly chosen student is either male or earned an A?

Tip: Always express probabilities as ratios of favorable outcomes to total possible outcomes when solving probability questions.

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics

Formulas

P(event) = (number of favorable outcomes) / (total number of outcomes)

Theorems

Basic Probability Theorem

Suitable Grade Level

Grades 6-8