Discuss an estimate of the chances of winning


Discuss the below:

Q- In a certain state lottery, a lottery ticket cost $8. 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 alternative

Wins s1

Lose s2

Purchase lottery ticket d1

290,000

-8

Do not purchase lottery ticket d2

0

0

1. A realistic estimate of the chances of winning are 1 in 290,000. Use the expected value  approach  to recommend a decision.

2. If a particular decision maker assigns an indifference probability  of 0,00004 to the $0 payoff, would this individual purchase a lottery ticket? Use the expected utility to justify your answer.

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Basic Statistics: Discuss an estimate of the chances of winning
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