The following table shows the results of a survey of 410 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | }
\hline & \begin{array} { l }
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l }
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 70 & 30 & 100 \
\hline \text { Unsuccessful } & 130 & 180 & 310 \
\hline \text { Total } & 200 & 210 & 410 \
\hline
\end{array}$$ An author is chosen at random.
Compute the estimated probability of the event that the author is a new author.

A) $\frac { 21 } { 41 }$
B) $\frac { 13 } { 41 }$
C) $\frac { 13 } { 20 }$
D) $\frac { 20 } { 41 }$
E) $\frac { 7 } { 20 }$

Question

The following table shows the results of a survey of 410 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | } 
\hline & \begin{array} { l } 
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l } 
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 70 & 30 & 100 \
\hline \text { Unsuccessful } & 130 & 180 & 310 \
\hline \text { Total } & 200 & 210 & 410 \
\hline
\end{array}$$   An author is chosen at random.
Compute the estimated probability of the event that the author is a new author.
 
A) $\frac { 21 } { 41 }$
B)   $\frac { 13 } { 41 }$
C)   $\frac { 13 } { 20 }$
D)   $\frac { 20 } { 41 }$
E)   $\frac { 7 } { 20 }$

Quizplus · Accepted Answer

The probability of choosing a new author is the number of new authors divided by the total number of authors, which is $ \frac { 200 } { 410 } = \frac { 20 } { 41 } $.

The Following Table Shows the Results of a Survey of 410