Question

A university class has 12 students enrolled, 2 of whom are graduate students.
What is the probability that a randomly chosen student will be a graduate student?
Write your answer as a fraction or whole number.
P(graduate student)=

Answer 1

To find the probability that a randomly chosen student from the class is a graduate student, you can use the formula for probability:

\[
P(\text{graduate student}) = \frac{\text{number of graduate students}}{\text{total number of students}}
\]

In this case, the number of graduate students is 2, and the total number of students is 12. Therefore,

\[
P(\text{graduate student}) = \frac{2}{12}
\]

To simplify this fraction, divide the numerator and the denominator by their greatest common divisor, which is 2:

\[
P(\text{graduate student}) = \frac{2 \div 2}{12 \div 2} = \frac{1}{6}
\]

Thus, the probability that a randomly chosen student will be a graduate student is:

\[
P(\text{graduate student}) = \frac{1}{6}
\]