The table shows the results of a survey of 99 authors by a publishing company. Compute the conditional probability: An unsuccessful author is established. $$\begin{array} { | l | l | l | l | }
\hline & \text { New Authors } & \begin{array} { l }
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 5 & 25 & 30 \
\hline \text { Unsuccessful } & 15 & 54 & 69 \
\hline \text { Total } & 20 & 79 & 99 \
\hline
\end{array}$$
A) $\frac { 5 } { 69 }$
B) $\frac { 5 } { 23 }$
C) $\frac { 18 } { 23 }$
D) $\frac { 25 } { 69 }$
E) $\frac { 6 } { 25 }$

Question

The table shows the results of a survey of 99 authors by a publishing company. Compute the conditional probability: An unsuccessful author is established. $$\begin{array} { | l | l | l | l | } 
\hline & \text { New Authors } & \begin{array} { l } 
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 5 & 25 & 30 \
\hline \text { Unsuccessful } & 15 & 54 & 69 \
\hline \text { Total } & 20 & 79 & 99 \
\hline
\end{array}$$  
A) $\frac { 5 } { 69 }$
B) $\frac { 5 } { 23 }$
C) $\frac { 18 } { 23 }$
D) $\frac { 25 } { 69 }$
E) $\frac { 6 } { 25 }$

Quizplus · Accepted Answer

The conditional probability that an unsuccessful author is established is calculated by dividing the number of unsuccessful established authors by the total number of unsuccessful authors: $\frac{54}{69} = \frac{18}{23}$.

The Table Shows the Results of a Survey of 99