The table shows the results of a survey of 99 authors by a publishing company. Compute the conditional probability: An author is established, given that she is successful. $$\begin{array} { | l | l | l | l | }
\hline & \text { New Authors } & \begin{array} { l }
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 5 & 26 & 31 \
\hline \text { Unsuccessful } & 14 & 54 & 68 \
\hline \text { Total } & 19 & 80 & 99 \
\hline
\end{array}$$
A) $\frac { 25 } { 33 }$
B) $\frac { 5 } { 31 }$
C) $\frac { 3 } { 13 }$
D) $\frac { 26 } { 31 }$
E) $\frac { 26 } { 99 }$

Question

The table shows the results of a survey of 99 authors by a publishing company. Compute the conditional probability: An author is established, given that she is successful. $$\begin{array} { | l | l | l | l | } 
\hline & \text { New Authors } & \begin{array} { l } 
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 5 & 26 & 31 \
\hline \text { Unsuccessful } & 14 & 54 & 68 \
\hline \text { Total } & 19 & 80 & 99 \
\hline
\end{array}$$  
A) $\frac { 25 } { 33 }$
B) $\frac { 5 } { 31 }$
C) $\frac { 3 } { 13 }$
D) $\frac { 26 } { 31 }$
E) $\frac { 26 } { 99 }$

Quizplus · Accepted Answer

The conditional probability that an author is established given that she is successful is calculated by dividing the number of successful established authors by the total number of successful authors, which is $\frac{26}{31}$.

The Table Shows the Results of a Survey of 99