Determine the probability of winning

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Tennessee just instituted a state lottery. The initial jackpot is $100,000. If the first week yields no winners, the next week's jackpot goes up, depending on the numbers of previous players who placed the lottery bets. The probability of winning is one in a million (1-10 -6). What must the jackpot be before the expected payoff is worth your $1 Bet? Assume that the state takes 60% of the jackpot in taxes, that no one else is a winner, and you are risk-neutral (i.e. you value the lottery at its expected value).

Reference no: EM13176765

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