There are 25 students in a sixth-grade class. On a cold winter day in February, many of the students had runny noses and sore throats. After examining each student, the school nurse constructed the following table:

$\begin{array} { l c c }
& \text { Sore throat } & \text { No sore throat } \
\text { Runny nose } & 3 & 2 \
\text { No runny nose } & 6 & 14
\end{array}$

Find the probability that a randomly-selected student has a sore throat.
A) 0.36
B) 0.24
C) 0.20
D) 0.50

Question

There are 25 students in a sixth-grade class. On a cold winter day in February, many of the students had runny noses and sore throats. After examining each student, the school nurse constructed the following table:

$\begin{array} { l c c } 
& \text { Sore throat } & \text { No sore throat } \
\text { Runny nose } & 3 & 2 \
\text { No runny nose } & 6 & 14
\end{array}$
 
Find the probability that a randomly-selected student has a sore throat.
A) 0.36
B) 0.24
C) 0.20
D) 0.50

Quizplus · Accepted Answer

The probability that a randomly-selected student has a sore throat is calculated by dividing the total number of students with a sore throat by the total number of students. There are 3 students with both a runny nose and a sore throat, and 6 students with a sore throat but no runny nose, making a total of 9 students with a sore throat. There are 25 students in total. Thus, the probability is $ \frac{9}{25} = 0.36 $.

There Are 25 Students in a Sixth-Grade Class Find the Probability That a Randomly-Selected Student Has a Sore