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. a) If one of these vehicles is selected at random, determine the probability that the vehicle used a toll pass. b) If one of these vehicles is selected at random, determine the probability that the vehicle used a toll pass given that the vehicle was a car. The probability that the randomly selected vehicle used a toll pass is (Round to four decimal places as needed.) The probability that the vehicle used a toll pass, given that the vehicle is a car, is (Round to four decimal places as needed.)

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. a) If one of these vehicles is selected at random, determine the probability that the vehicle used a toll pass. b) If one of these vehicles is selected at random, determine the probability that the vehicle used a toll pass given that the vehicle was a car. The probability that the randomly selected vehicle used a toll pass is (Round to four decimal places as needed.) The probability that the vehicle used a toll pass, given that the vehicle is a car, is (Round to four decimal places as needed.)

ANS:

a.

The probability that the randomly selected vehicle used a toll pass is:

Total vehicles with toll pass / Total vehicles
= 542 + 946 / 872 + 1601
= 1488 / 2473
= **0.602** (round to 4 decimal places)

b.

The probability that the vehicle used a toll pass, given that the vehicle is a car, is:

Total cars with toll pass / Total cars
= 542 / 872
= **0.62** (round to 4 decimal places)

Therefore, the answer is:

a. 0.602 b. 0.62

Leave a Comment