For many years, organized crime ran a numbers game that is now run legally by many state governments. The player selects a three-digit number from 000 to 999. There are 1000 such numbers. A bet of $3 is placed on a number, say number 115. If the number is selected, the player wins $1200 If any other number is selected, the player wins nothing. Find the expected value for this game and describe what this means.

The expected value of the numbers game is