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Find the Indicated Probability If Two Different People Are Randomly Selected from the 864

question 140

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Find the indicated probability.
-The table below describes the smoking habits of a group of asthma sufferers.  Light  Heavy  Nonsmoker  smoker  smoker  Total  Men 3033537375 Women 4133145489 Total 7166682864\begin{array} { r | c c c r } && \text { Light }& \text { Heavy } \\& \text { Nonsmoker } & \text { smoker } & \text { smoker } & \text { Total } \\\hline \text { Men } & 303 & 35 & 37 & 375 \\\text { Women } & 413 & 31 & 45 & 489 \\\text { Total } & 716 & 66 & 82 & 864\end{array} If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers. Round to six decimal places.


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