Answer: The required probability is 0.1%.
Step-by-step explanation: Given that we have decided to play a Pick 3 lottery game in which we have to guess the exact order of the three numbers.
We are to find the probability of winning.
Let S denotes the sample space for choosing 3 numbers out of 10, .i.e., from 0 to 9. And A denote the event that we chose the exact order of the three numbers.
Since a number can be chosen more than once, so

Therefore, the probability of event A will be

Thus, the required probability is 0.1%.