[Step-by-Step] In a certain state lottery, a lottery ticket costs $2. In terms of the decision to purchase or not to purchase a lottery ticket, suppose


Question: In a certain state lottery, a lottery ticket costs $2. In terms of the decision to purchase or not to purchase a lottery ticket, suppose that the following payoff table applies:

State of Nature
Decision Alternatives Win s 1 Loses s 2
Purchase Lottery ticket, d 1 300,000 -2
Do not purchase lottery ticket, d 2 0 0
  1. A realistic estimate of the chance s of winning is 1 in 250,000. Use the expected value approach to recommend a decision.
  2. If a particular decision maker assigns an indifference probability of 0.000001 to the $0 payoff, would this individual purchase a lottery ticket? Use the expected utility to justify your answer.

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