involving the selection of two numbers. Assume that you select two 4-digit numbers at random from the set of consecutive integers from 0000 through 9999. The selections are made with replacement and are independent of one another. If the two numbers are the same, you make $250. If they are different, you lose $1. A random variable X is defined as your gain or loss. How many different values are possible for the random variable X?

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involving the selection of two numbers. Assume that you select two 4-digit numbers at random from the set of consecutive integers from 0000 through 9999. The selections are made with replacement and are independent of one another. If the two numbers are the same, you make $250. If they are different, you lose $1. A random variable X is defined as your gain or loss.

How many different values are possible for the random variable X? 

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