Final answer:
There are 1,369,664 different license plates that can be made in the given form. The probability of a randomly selected license plate ending with 00 is approximately 0.85%.
Step-by-step explanation:
The license plates can be made in the form xzz-zzz, where x is a digit from 1 to 9 and z is a digit from 0 to 9 or a letter from a to z. Since x can take on 9 different values and each z can take on 36 different values (10 digits + 26 letters), there are a total of 9 * 36 * 36 * 36 = 1,369,664 different license plates that can be made. To find the probability that a randomly selected license plate will end with 00 (xzz-z00), we need to count how many of the possible license plates end with 00. Since there are 9 possible values for x and 36 possible values for each z, there are a total of 9 * 36 * 36 = 11,664 different license plates that end with 00. The probability is then 11,664 / 1,369,664 = 0.00852 or approximately 0.85%.