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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.

Respuesta :

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

Therefore,

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

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

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