Provide an appropriate response.
-A group of students were asked if they carry a credit card. The responses are listed in the table. $$\begin{array} { l | c | c | c }
{ \text { Class } } & \begin{array} { c }
\text { Credit Card } \
\text { Carrier }
\end{array} & \begin{array} { c }
\text { Not a Credit Card } \
\text { Carrier }
\end{array} & \text { Total } \
\hline \text { Freshman } & 21 & 39 & 60 \
\text { Sophomore } & 18 & 22 & 40 \
\text { Total } & 39 & 61 & 100
\end{array}$$ If a student is selected at random, find the probability that he or she is a sophomore given that the student owns a credit card. Round your answers to three decimal places.
A)0.462
B)0.538
C)0.975
D)0.180

Question

Provide an appropriate response.
-A group of students were asked if they carry a credit card. The responses are listed in the table. $$\begin{array} { l | c | c | c } 
{ \text { Class } } & \begin{array} { c } 
\text { Credit Card } \
\text { Carrier }
\end{array} & \begin{array} { c } 
\text { Not a Credit Card } \
\text { Carrier }
\end{array} & \text { Total } \
\hline \text { Freshman } & 21 & 39 & 60 \
\text { Sophomore } & 18 & 22 & 40 \
\text { Total } & 39 & 61 & 100
\end{array}$$ If a student is selected at random, find the probability that he or she is a sophomore given that the student owns a credit card. Round your answers to three decimal places.
A)0.462
B)0.538
C)0.975
D)0.180

Quizplus · Accepted Answer

The probability that a student is a sophomore given that the student owns a credit card is calculated using conditional probability: P(Sophomore | Credit Card) = P(Sophomore and Credit Card) / P(Credit Card) = 18/39 = 0.462.

Provide an Appropriate Response If a Student Is Selected at Random, Find the Probability