Math Problem Statement
Giving a test to a group of students, the grades and gender are summarized below
A
B
C
Total
Male
5
15
7
27
Female
3
8
11
22
Total
8
23
18
49
If one student is chosen at random,
Find the probability that the student was male AND got a "B". Write your answer as a reduced fraction.
P(male and "B")=
Solution
To find the probability that a student was male and got a "B," we will use the formula for probability:
Step-by-Step Solution:
- Number of males who got a "B" = 15
- Total number of students = 49
So, the probability is:
The fraction is already in its simplest form, so the final answer is:
Would you like further details, or do you have any questions?
Here are five related questions to explore:
- What is the probability of selecting a student who is female and got a "C"?
- What is the probability that a student got a grade of "A"?
- If a student is chosen randomly, what is the probability that the student is male?
- What is the probability that a student chosen randomly got a "B"?
- What is the probability that a student chosen at random is female?
Tip: When dealing with probability, always ensure fractions are reduced to their simplest form to make interpretation easier.
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Math Problem Analysis
Mathematical Concepts
Probability
Basic Fractions
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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