The probability that yours is the one selected is:
[tex]\dfrac{1}{17576000}[/tex]
It is given that:
Your vehicle is licensed in a state that issues license plates that consist of three digits (between 0 and 9) followed by three letters (between A and Z).
The total number of license plates that are possible are:
10×10×10×26×26×26=17576000
Now, the probability that yours is the one selected is:
[tex]\dfrac{1}{17576000}[/tex]