SOLUTION: Don’t even know if this is the right category... what is the expected value of a raffle ticket purchased for $4 if 1000 tickets are sold, the grand prize is valued at $750, an

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Question 1158979: Don’t even know if this is the right category...
what is the expected value of a raffle ticket purchased for $4 if 1000 tickets are sold, the grand prize is valued at $750, and there are five second place prizes each valued at $250?

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.

Probability to win $750 is  1%2F1000.


Probability to win either of five prizes at $250 is 5%2F1000.


Hence, the money expectation to win is  750%2F1000+%2B+%285%2A250%29%2F1000 = 2000%2F1000.


From it, you should subtract  $4 which you pay for the ticket, and then you get expected value of the game  


    2000%2F1000+-+4 = - $2.00.


It is EXTREMELY unfair game.


Statistically, you lose $2.00 in each game.

Is everything clear to you ?