Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
-The following table contains data from a study of two airlines which fly to Small Town, USA. $$\begin{array} { c | c c }
&{ \text { Number of flights Number of flights } } \
& \text { which were on time } & \text { which were late } \
\hline \text { Podunk Airlines } & 33 & 6 \
\text { Upstate Airlines } & 43 & 5
\end{array}$$ If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight.
A) $\frac { 11 } { 76 }$
B) $\frac { 43 } { 87 }$
C) $\frac { 43 } { 48 }$
D) None of the above is correct.

Question

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
-The following table contains data from a study of two airlines which fly to Small Town, USA. $$\begin{array} { c | c c } 
&{ \text { Number of flights Number of flights } } \
& \text { which were on time } & \text { which were late } \
\hline \text { Podunk Airlines } & 33 & 6 \
\text { Upstate Airlines } & 43 & 5
\end{array}$$ If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight. 
A) $\frac { 11 } { 76 }$
B) $\frac { 43 } { 87 }$
C) $\frac { 43 } { 48 }$
D) None of the above is correct.

Quizplus · Accepted Answer

The probability that a flight was on time given it was an Upstate Airlines flight is calculated by dividing the number of on-time Upstate Airlines flights by the total number of Upstate Airlines flights: $ \frac{43}{43+5} = \frac{43}{48} $.

Find the Indicated Probability If One of the 87 Flights Is Randomly Selected, Find