Final answer:
The probability of generating a three-digit number by the state of Michigan is 1/900 because there are 900 possible three-digit numbers from 100 to 999 out of a total of 1000 numbers from 000 to 999. Option B is correct.
Step-by-step explanation:
The probability of generating a three-digit number, considering that all numbers from 000 to 999 are equally likely, gives us 1000 different possible outcomes (since we count 000 as a three-digit number for this kind of draw).
However, the first digit cannot be 0 for it to be a three-digit number, so we have numbers from 100 to 999 which equals 900 possible three-digit numbers out of 1000 total possibilities. Therefore, the probability is the number of favorable outcomes (900 three-digit numbers) divided by the total number of possible outcomes (1000 numbers total).
Probability of generating a three-digit number = Number of three-digit numbers (900) / Total possible numbers (1000) = 900/1000
Thus, the correct answer is 1/900, which simplifies from the fraction 900/1000.