The following table shows the results of a survey of 360 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | }
\hline & \begin{array} { l }
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l }
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 40 & 20 & 60 \
\hline \text { Unsuccessful } & 140 & 160 & 300 \
\hline \text { Total } & 180 & 180 & 360 \
\hline
\end{array}$$ An unsuccessful author is chosen at random.
Compute the estimated probability of the event that the unsuccessful author is established.

A) $\frac { 4 } { 9 }$
B) $\frac { 8 } { 15 }$
C) $\frac { 7 } { 15 }$
D) $\frac { 5 } { 9 }$
E) $\frac { 8 } { 9 }$

Question

The following table shows the results of a survey of 360 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | } 
\hline & \begin{array} { l } 
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l } 
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 40 & 20 & 60 \
\hline \text { Unsuccessful } & 140 & 160 & 300 \
\hline \text { Total } & 180 & 180 & 360 \
\hline
\end{array}$$   An unsuccessful author is chosen at random.
Compute the estimated probability of the event that the unsuccessful author is established.
 
A) $\frac { 4 } { 9 }$
B)   $\frac { 8 } { 15 }$
C)   $\frac { 7 } { 15 }$
D)   $\frac { 5 } { 9 }$
E)   $\frac { 8 } { 9 }$

Quizplus · Accepted Answer

The probability that an unsuccessful author is established is the number of unsuccessful established authors divided by the total number of unsuccessful authors: $ \frac{160}{300} = \frac{8}{15} $.

The Following Table Shows the Results of a Survey of 360