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:
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:
Now, we compute this and round it to three decimal places.
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:
- What is the probability that a randomly chosen student is male?
- What is the probability that a randomly chosen student is female and earned a B?
- What is the probability that a randomly chosen student earned an A?
- What is the probability that a male student earned a C?
- 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
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