Question

A math class has 12 female students. Out of a total of 20 students in a the class hat is the probability of randomly selecting a male student from the class?

Answer 1

To find the probability of randomly selecting a male student from the class, we first need to determine the number of male students.

Given:
- Total number of students in the class = 20
- Number of female students = 12

To find the number of male students, we subtract the number of female students from the total number of students:

\[
\text{Number of male students} = \text{Total students} - \text{Female students} = 20 - 12 = 8
\]

Now, the probability \( P \) of randomly selecting a male student is given by the ratio of the number of male students to the total number of students:

\[
P(\text{male student}) = \frac{\text{Number of male students}}{\text{Total number of students}} = \frac{8}{20}
\]

To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

\[
P(\text{male student}) = \frac{8 \div 4}{20 \div 4} = \frac{2}{5}
\]

Thus, the probability of randomly selecting a male student from the class is:

\[
\frac{2}{5}
\]