A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 10 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Choose the correct choice from the following:
A) 18/79	B) 1/6	C) 1/25	D) 1/50	E) 1/900
If it takes 10 minutes to inspect one vehicle, the # of vehicles that can be inspected in 3 hours (180 minutes) = 180/10= 
<gadget id="calculator">180/10</gadget>
<output>18</output>
18. Hence, for calculating the probability that the police will find the transmitter within three hours, the favorable cases= 18. Now, we need to figure out the total # of cases.   The total # of cases = Total # of such cars possible. The details given about the car is that it starts with 79, which leaves 2 more digits, both of which can be filled by all 10 numbers (0-9). In addition, we have 3 letters, each of which can be filled by any from the set {A,B,C}. Hence the total # of such cars possible = 10*10*3*3= 
<gadget id="calculator">10*10*3*3</gadget>
<output>900</output>
900   So, the probability that the police will find the transmitter within three hours= 18/900 = 1/50. Option 1/50
<result>D</result>
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 10 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?