Step 1 :Define the total number of vehicles as 2445, the total number of cars as 1446, and the number of cars that used a toll pass as 502.
Step 2 :Calculate the probability of both events A and B occurring, denoted as P(A ∩ B), which is the number of cars that used a toll pass divided by the total number of vehicles. The calculation is \(\frac{502}{2445} = 0.20531697341513291\).
Step 3 :Calculate the probability of event B, denoted as P(B), which is the total number of cars divided by the total number of vehicles. The calculation is \(\frac{1446}{2445} = 0.5914110429447853\).
Step 4 :Calculate the conditional probability of event A given event B, denoted as P(A|B), using the formula P(A|B) = P(A ∩ B) / P(B). The calculation is \(\frac{0.20531697341513291}{0.5914110429447853} = 0.34716459197787\).
Step 5 :Round the result to four decimal places to get the final answer. The probability that the vehicle used a toll pass, given that the vehicle is a car, is \(\boxed{0.3472}\).