Question

The survey has been undertaken to determine whether there is a relationship between the place of residence and ownership of an automobile. A random sample of car owners, $200$ from large cities, $150$ from suburbs and $150$ from rural areaswere selected and tabulated as follow

Car ownership/ Type of Area	Large city	Suburb	Rural
Own a foreign car	$90$	$60$	$25$
Do not own a foreign car	$110$	$90$	$125$

If a car owner was selected at random, what is the probability that he/she owns a foreign car

• A. $\frac{7}{20}$
• B. $\frac{3}{20}$
• C. $\frac{2}{20}$
• D. None of these

Answer 1

Answer: (A)

$\frac{7}{20}$

Total $=500$ P(own foreign car ) $=\frac{OwnForeignCar}{500}$

$=\frac{175}{500}=\frac{7}{20}$