Question

the table shows the number of cars and trucks that used a certain toll road on a particular day. the number of cars and trucks that used, and did not use, an electronic toll pass on that same day was also recorded.
toll pass
used
did not use
total
cars
trucks
total
537
975
1512
313
666
979
850
1641
2491
a) if one of these vehicles is selected at random, determine the probability that the vehicle was a car.
b) if one of these vehicles is selected at random, determine the probability that the vehicle was a car, given that the vehicle did not use a toll pass.
the probability that the vehicle was a car is
(round to four decimal places as needed.)

Explanation:

Step1: Calculate total number of vehicles

The total number of vehicles is \(2491\) (from the table).

Step2: Calculate number of cars

The number of cars is \(1512\) (from the table).

Step3: Calculate probability

The probability that a randomly - selected vehicle is a car is \(P=\frac{\text{Number of cars}}{\text{Total number of vehicles}}=\frac{1512}{2491}\approx0.6070\)

Answer:

\(0.6070\)