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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 20perticket.The4winningprizesare20 per ticket. The 4 winning prizes are 300, 150,andtwo150, and two 50 prizes. Find the expected value per ticket

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Solution

To calculate the expected value per ticket, we need to follow these steps:

  1. 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 20each,sothetotalrevenueis15020 each, so the total revenue is 150 * 20 = $3000.

  2. 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 300,300, 150, and two 50prizes,sothetotalcostoftheprizesis50 prizes, so the total cost of the prizes is 300 + 150+150 + 50 + 50=50 = 550.

  3. Subtract the total cost of the prizes from the total revenue to find the net profit. In this case, the net profit is 30003000 - 550 = $2450.

  4. 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 2450/150=2450 / 150 = 16.33.

So, the expected value per ticket is $16.33.

This problem has been solved

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