In a Straight Pick 3 lottery you choose a 3-digit number. A 3-digit number is chosen at random. If your number matches, you win $250. 1. How many different 3-digit numbers are there? 2. What is the probability that your 3-digit number is the winning number? Enter the exact value of the answer. 3. There are two outcomes in the sample space: { $250, $0 }. Using these, find the expected value (in dollars) of this probability model? Enter the exact value of the answer. Do not write the $ symbol.

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