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15 May, 11:09

You buy a lottery ticket to a lottery that costs $10 per ticket. There are only 100 tickets available to be sold in this lottery. In this lottery there are one $450 prize, two $110 prizes, and four $25 prizes. Find your expected gain or loss. (Round your answer to two decimal places.)

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  1. 15 May, 11:22
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    Answer: The expected loss is $2.3

    Explanation:

    Total number of tickets to be sold = 100 tickets

    one $450 prize, the expected gain = 450 x (1/100) = $4.5

    two $110 prizes, the expected gain = 110 x (2/100) = $2.2

    four $25 prizes. the expected gain = 25 x (4/100) = $1

    Expected gain (loss) = Total expected gain - Cost of the ticket

    = (4.5 + 2.2 + 1) - 10

    = (2.3)

    The expected loss is $2.3
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