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A non-profit organization plans to hold a raffle to raise funds for its operations. A total of 1,000 raffle tickets will be sold for $1.00 each. After all the tickets are sold, one ticket will be selected at random and its owner will receive $50.00. The expected value for the net gain for each ticket is -$0.95. What is the meaning of the expected value in this context?
A. The ticket owners lose an average of $0.05 per raffle ticket.
B. The ticket owners lose an average of $0.95 per raffle ticket.
C. Each ticket owner will lose $0.95 per raffle ticket.
D. A ticket owner would have to purchase 19 more tickets for the expected value of his or her net gain to increase to $0.00.
E. A ticket owner has a 95 percent chance of having a ticket that is not selected.

Respuesta :

Answer:

The answer is "Option b".

Step-by-step explanation:

In the given question, 1000 ticket were sold for [tex]\$1[/tex] and the owner who receives tickets which are  randomly chosen that wins [tex]\$50[/tex].

[tex]Net\ profit = 1000\times 1-1\timesv 50 = \$950\\\\Net \ profit \ for\ ticket = \frac{\$950}{1000} = \$0.95[/tex]

The probability in which each ticket owners win [tex]= 0.001[/tex]

therefore the ticket owner net profit = [tex]= -1+0.001\times 50 = -0.95\\\\[/tex]

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