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A company offers a raffle whose grand prize is a $45,000 new car. Additional prizes are a $900 television and a $400 computer. Tickets cost $18 each. Ticket income over the cost of the prizes will be donated to charity. If 3,000 tickets are sold, what is the expected gain or loss (in dollars) of each ticket

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Answer:

The expected loss in dollars of each ticket is -$3.5

Explanation:

The computation of the expected gain or loss in dollars of each ticket is shown below:

The probability of winning each of them would be

= 1 ÷ 3,000

Now the expected value is

= $45,000 × (1 ÷ 3000) + $900 × (1 ÷ 3000) + $600 × (1 ÷ 3000)

= 15 + 0.3 + 0.2

= 15.5

Now the cost of the ticket is $18

So, the loss would be

= $18 - 15.5

= -$3.5