A safe is randomly assigned a four-digit code. The company selling the safe sponsors a contest whereby contestants pick four digits (0 through 9) to make a 4-digit code. If the code opens the safe, the contestant wins $100. Otherwise, the contestant wins nothing. Let X be the random variable defined by the amount of money a contestant wins by picking one code. How many distinct values of X are there?

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A safe is randomly assigned a four-digit code. The company selling the safe sponsors a contest whereby contestants pick four digits (0 through 9) to make a 4-digit code. If the code opens the safe, the contestant wins $100. Otherwise, the contestant wins nothing. Let X be the random variable defined by the amount of money a contestant wins by picking one code. How many distinct values of X are there?

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