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    Probability: Calculating the Expected Value

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    You give $3 for a bet in a casino game and there is a 253/495 probability that you will lose your $3 and there is a 242/495 probability that you will make a net gain of $3 (If you win the casino gives you $3 and you keep your $3 bet so the net gain is $3).

    1. What is your expected value?
    2. In the long run how much do you lose for each dollar bet?

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    This solution provides steps to calculate the expected value.