Math Problem Statement
Giving a test to a group of students, the grades and gender are summarized below
Grades vs. Gender ABCMale
5
9
10
Female
11
17
8
If one student was chosen at random, find the probability that the student was male.
Probability = (Round to 4 decimal places)
Solution
To find the probability that a randomly chosen student is male, we need to use the formula for probability:
Step 1: Determine the number of male students.
From the table:
- Male students with grade A = 5
- Male students with grade B = 9
- Male students with grade C = 10
Total number of male students:
Step 2: Determine the number of female students.
From the table:
- Female students with grade A = 11
- Female students with grade B = 17
- Female students with grade C = 8
Total number of female students:
Step 3: Calculate the total number of students.
Step 4: Calculate the probability.
Thus, the probability that the randomly chosen student is male is:
Would you like more details or have any questions?
Here are 5 related questions you could explore:
- What is the probability that the student has a grade of A?
- What is the probability that the student is female?
- What is the probability that a male student has a grade of C?
- What is the probability that a female student has a grade of B?
- If two students are chosen randomly, what is the probability that both are male?
Tip: Probabilities are always between 0 and 1. If your result is higher or lower, double-check your calculations!
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Math Problem Analysis
Mathematical Concepts
Probability
Basic Statistics
Formulas
P(Event) = (Number of favorable outcomes) / (Total number of outcomes)
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 6-8