The following table shows the results of a survey of 350 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | }
\hline & \begin{array} { l }
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l }
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 40 & 10 & 50 \
\hline \text { Unsuccessful } & 140 & 160 & 300 \
\hline \text { Total } & 180 & 170 & 350 \
\hline
\end{array}$$ An author is chosen at random.
Compute the estimated probability of the event that the author is established and successful.

A) $\frac { 4 } { 35 }$
B) $\frac { 1 } { 17 }$
C) $\frac { 17 } { 35 }$
D) $\frac { 1 } { 7 }$
E) $\frac { 1 } { 35 }$

Question

The following table shows the results of a survey of 350 authors by a (fictitious) publishing company: $$\begin{array} { | l | l | l | l | } 
\hline & \begin{array} { l } 
\text { New } \
\text { Authors }
\end{array} & \begin{array} { l } 
\text { Established } \
\text { Authors }
\end{array} & \text { Total } \
\hline \text { Successful } & 40 & 10 & 50 \
\hline \text { Unsuccessful } & 140 & 160 & 300 \
\hline \text { Total } & 180 & 170 & 350 \
\hline
\end{array}$$   An author is chosen at random.
Compute the estimated probability of the event that the author is established and successful.
 
A) $\frac { 4 } { 35 }$
B) $\frac { 1 } { 17 }$
C)   $\frac { 17 } { 35 }$
D)   $\frac { 1 } { 7 }$
E)   $\frac { 1 } { 35 }$

Quizplus · Accepted Answer

The probability of choosing an established and successful author is the number of established and successful authors divided by the total number of authors: $ \frac{10}{350} = \frac{1}{35} $.

The Following Table Shows the Results of a Survey of 350