In the question, it is stated that 17% of the vehicles passing through the tollbooth have out-of-state plates, whereas we are interested in the total number of vehicles passing through until two vehicles with out-of-state plates are seen.
We have,
Therefore, the given rows from the random digits given in the tables are as:

We'll start with the first trial now.
The first two-digit number will be chosen. The vehicle has out-of-state plates if the digit is between and (inclusive); otherwise, the vehicle does not have out-of-state plates. This process will be repeated until two vehicles with out-of-state plates have been obtained.
Vehicles do not have out-of-state plates
Vehicles have out-of-state plates
Vehicles have out-of-state plates
Then we note that we'll need three vehicles until we can get two with out-of-state license plates.
We will now conduct a second trial as follows:
The first two-digit number will be chosen. The vehicle has out-of-state plates if the digit is between and (inclusive); otherwise, the vehicle does not have out-of-state plates. This process will be repeated until two vehicles with out-of-state plates have been obtained.
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
59鈬扸ehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles do not have out-of-state plates
Vehicles have out-of-state plates
Then, until we get two vehicles with out-of-state plates, we'll need vehicles.
We will now proceed to the third trial, as follows:
The first two-digit number will be chosen. The vehicle has out-of-state plates if the digit is between and (inclusive); otherwise, the vehicle does not have out-of-state plates. This process will be repeated until two vehicles with out-of-state plates have been obtained.
Vehicles do not have out-of-state plates
44鈬扸ehicles do not have out-of-state plates
69鈬扸ehicles do not have out-of-state plates
94鈬扸ehicles do not have out-of-state plates
86鈬扸ehicles do not have out-of-state plates
85鈬扸ehicles do not have out-of-state plates
79鈬扸ehicles do not have out-of-state plates
67鈬扸ehicles do not have out-of-state plates
05鈬扸ehicles have out-of-state plates
81鉄筕ehicles do not have out-of-state plates
18鈬扸ehicles do not have out-of-state plates
45鈬扸ehicles do not have out-of-state plates
14鈬 Vehicles have out-of-state plates
Then we note that we'll need vehicles until we get two with out-of-state plates.