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The Manager of a Used Car Lot Took Inventory of the Automobiles

Question 232

Multiple Choice

The manager of a used car lot took inventory of the automobiles on his lot and constructed the following tablebased on the age of his car and its make (foreign or domestic) . Age of Car (in years)   Make 0235610 over 10 Total  Foreign 42241321100 Domestic 36231130100 Total 78472451200\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad Age of Car (in years) }\\\begin{array} { r | c c c c | c } { \text { Make } } & 0 - 2 & 3 - 5 & 6 - 10 & \text { over } 10 & \text { Total } \\\hline \text { Foreign } & 42 & 24 & 13 & 21 & 100 \\\text { Domestic } & 36 & 23 & 11 & 30 & 100 \\\hline \text { Total } & 78 & 47 & 24 & 51 & 200\end{array}\end{array} A car was randomly selected from the lot. Given that the car selected is older than two years old, find theprobability that it is not a foreign car.


A) 3261\frac { 32 } { 61 }
B) 2961\frac { 29 } { 61 }
C) 1625\frac { 16 } { 25 }
D) 2950\frac { 29 } { 50 }
Find the indicated probability. Give your answer as a decimal rounded to the nearest thousandth.

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