The table below describes the smoking habits of a group of asthma sufferers. $$\begin{array} { r | c r r r }
& & \text { Light} & \text { Heavy } \
& \text { Nonsmoker } & \text { smoker} & \text { smoker} & \text { Total } \
\hline \text { Men } & 344 & 61 & 77 & 482 \
\text { Women } & 374 & 74 & 62 & 510 \
\text { Total } & 718 & 135 & 139 & 992
\end{array}$$ If one of the 992 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that it is a woman. Round to the nearest thousandth.
A)0.414
B)0.521
C)0.733
D)0.377

Question

The table below describes the smoking habits of a group of asthma sufferers. $$\begin{array} { r | c r r r } 
&  & \text { Light} & \text { Heavy }  \
& \text { Nonsmoker } & \text { smoker} & \text { smoker} & \text { Total } \
\hline \text { Men } & 344 & 61 & 77 & 482 \
\text { Women } & 374 & 74 & 62 & 510 \
\text { Total } & 718 & 135 & 139 & 992
\end{array}$$ If one of the 992 subjects is randomly selected, find the probability that the person chosen is a nonsmoker given that it is a woman. Round to the nearest thousandth.
A)0.414
B)0.521
C)0.733
D)0.377

Quizplus · Accepted Answer

The probability that the person chosen is a nonsmoker given that it is a woman is calculated by dividing the number of nonsmoking women by the total number of women. This gives $ \frac{374}{510} \approx 0.733 $.

The Table Below Describes the Smoking Habits of a Group