Consider a lottery game in which you have a chance to receiv

Consider a lottery game in which you have a chance to receive $0, $1, or $100. The probabilities for each possible result are as follows: p(0) = 0.8, p(1) = 0.18, and p(100) = 0.02. (a) Suppose that you need to pay $2 each time you play this game. In the long run, would the company (or state) running this lottery game make money or lose money? (Hint: think in terms of expectation of a random variable.)

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