Math Problem Statement
After giving a test to a group of students, below is the summary of grades by gender.
A B C Total Male 13 9 7 29 Female 8 5 20 33 Total 21 14 27 62
If a student was randomly chosen, find the probability that the student earned a C. Leave your answer as a reduced fraction.
Solution
To find the probability that a randomly chosen student earned a grade of C, we need to focus on the total number of students who earned a C and divide that by the total number of students in the group.
Here is the breakdown:
- Total number of students who earned a C: (both male and female).
- Total number of students in the group: .
Thus, the probability that a randomly chosen student earned a C is:
The fraction is already in its simplest form because 27 and 62 have no common factors other than 1.
So, the probability that a randomly chosen student earned a C is:
Would you like further clarification or details? Here are some related questions to consider:
- What is the probability that a randomly chosen student is male?
- What is the probability that a randomly chosen student is female?
- What is the probability that a randomly chosen student earned an A?
- What is the probability that a randomly chosen male student earned a B?
- What is the probability that a randomly chosen female student earned an A?
Tip: When calculating probabilities, always ensure the total number of possible outcomes is correct to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Probability
Fractions
Ratios
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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