The table below describes the smoking habits of a group of asthma sufferers.
$\begin{array}{r|crrr}
&&\text { Light}&\text { Heavy }\
& \text { Nonsmoker } & \text { smoker} & \text { smoker } & \text { Total } \
\hline \text { Men } & 385 & 77 & 77 & 539 \
\text { Women } & 350 & 70 & 67 & 487 \
\text { Total } & 735 & 147 & 144 & 1026
\end{array}$
If one of the 1026 subjects is randomly selected, find the probability that the person chosen is a woman given that the person is a light smoker. Round to the nearest thousandth.
A) 0.476
B) 0.068
C) 0.243
D) 0.144

Question

The table below describes the smoking habits of a group of asthma sufferers.
 $\begin{array}{r|crrr} 
&&\text { Light}&\text { Heavy }\
& \text { Nonsmoker } & \text { smoker} & \text { smoker } & \text { Total } \
\hline \text { Men } & 385 & 77 & 77 & 539 \
\text { Women } & 350 & 70 & 67 & 487 \
\text { Total } & 735 & 147 & 144 & 1026
\end{array}$
 If one of the 1026 subjects is randomly selected, find the probability that the person chosen is a woman given that the person is a light smoker. Round to the nearest thousandth.
A) 0.476
B) 0.068
C) 0.243
D) 0.144

Quizplus · Accepted Answer

The probability that the person chosen is a woman given that the person is a light smoker is calculated by dividing the number of women who are light smokers by the total number of light smokers: $ \frac{70}{147} \approx 0.476 $.

The Table Below Describes the Smoking Habits of a Group