You are considering playing a game called “Pick Three V2.” To play, you select any three digit number. Then three digits are randomly drawn to create a winning number. If your three digits match the winning number, you receive $300. If one or two of your digits matches, you receive $10 (total, not $10 per match). The game costs $5 to play, and win or lose, you do not get the $5 back.



What is the probability that you get all three of the digits wrong? (Enter your answer as a decimal, without rounding.)