The table below describes the smoking habits of a group of asthma sufferers. $$\begin{array} { r | c r r r }
& & \text { Light } & \text { Heavy } \
& \text { Nonsmoker } & \text { smoker } & \text { smoker } & \text { Total } \
\hline \text { Men } & 399 & 69 & 79 & 547 \
\text { Women } & 397 & 85 & 60 & 542 \
\text { Total } & 796 & 154 & 139 & 1089
\end{array}$$ If one of the 1089 subjects is randomly selected, find the probability that the person chosen is a woman given that the person is a light smoker.
A)0.241
B)0.157
C)0.552
D)0.078

Question

The table below describes the smoking habits of a group of asthma sufferers. $$\begin{array} { r | c r r r } 
& & \text { Light  } & \text { Heavy }  \
& \text { Nonsmoker } & \text { smoker  } & \text { smoker } & \text {  Total } \
\hline \text { Men } & 399 & 69 & 79 & 547 \
\text { Women } & 397 & 85 & 60 & 542 \
\text { Total } & 796 & 154 & 139 & 1089
\end{array}$$ If one of the 1089 subjects is randomly selected, find the probability that the person chosen is a woman given that the person is a light smoker.
A)0.241
B)0.157
C)0.552
D)0.078

Quizplus · Accepted Answer

The probability that the person chosen is a woman given that the person is a light smoker is calculated using conditional probability. There are 154 light smokers in total, and 85 of them are women. So, the probability is $ \frac{85}{154} = 0.552 $.

The Table Below Describes the Smoking Habits of a Group