Question

Log In a survey of a town, 63% of residents own a car, 20% of residents own a truck, and 4% of residents own both a car and a truck. What is the conditional probability that a person who owns a car also owns a truck? Round to the nearest whole number.

Answer 1

Let C and T represent the residents that own a car and truck respectively.

Therefore,

`Pr(C|T)=(Pr(C\cap T))/(Pr(T))`
`\begin{gathered} Pr(C\cap T)=(1)/(100) \\ Pr(T)=(20)/(100) \end{gathered}`
`Pr(C|T)=((1)/(100))/((20)/(100))=(1)/(20)=0.05=5\text{ \%}`

Hence, the conditional probability that a person who owns a car also owns a truck is 5%.