One hundred fifty tickets for a raffle are sold for $20 per ticket. The 4 winning prizes are $300, $150, and two $50 prizes. Find the expected value per ticket
Question
One hundred fifty tickets for a raffle are sold for 300, 50 prizes. Find the expected value per ticket
Solution
To calculate the expected value per ticket, we need to follow these steps:
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Calculate the total revenue from the sale of the tickets. This is done by multiplying the number of tickets sold by the price per ticket. In this case, 150 tickets were sold at 20 = $3000.
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Calculate the total cost of the prizes. This is done by adding up the value of all the prizes. In this case, the prizes are 150, and two 300 + 50 + 550.
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Subtract the total cost of the prizes from the total revenue to find the net profit. In this case, the net profit is 550 = $2450.
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Divide the net profit by the number of tickets sold to find the expected value per ticket. In this case, the expected value per ticket is 16.33.
So, the expected value per ticket is $16.33.
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