Question

Cars5439561499TotalThe 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 PassTrucks TotalUsed341Did not use61015669512450by one of these vehicles is selected at random, determine the probability that the vehicle did not use a toll pass given that the vehicle was a truck.one of these vehicles in selected at random, determine the probability that the vehicle did not use a toll pass.The probability that the randomly selected vehicle did not use a toll pass in(Round to four decimal places as needed.)The probability that the vehicle did not use a toll pass given that the vehicle is a truck, is(Round to four decimal places as needed.)

Answer 1

a) The total number of vehicles is 2450, and the number of vehicles that didn't use a toll pass is 1566, so the probability is:

$P=\frac{1566}{2450}=0.6392$

b) If it's given that the vehicle is a truck, the number of trucks is 951, and the number of trucks that didn't use a toll pass is 610, so the probability is:

$P=\frac{610}{951}=0.6414$