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 $430 prize, two $105 prizes, and four $30 prizes. Find your expected gain or loss.

-$2.4

Explanation:

Costs of lottery ticket $10 per ticket.

100 tickets available to be sold

One $430 prize

two $105 prizes

four $30 prizes

100 available tickets -7 prizes= 93

P(430) = 1/100

P(105) = 2/100

P(30) = 4/100

P(-10) = 93/100

-10(93/100) + 30-10 (4/100) + 105-10 (2/100) + 430-10 (1/100)

= -10(93/100) + 20(4/100) + 95(2/100) + 420(1/100)

= -9.3 + 0.8 + 1.9 + 4.2 = -2.4

Therefore the expected loss will be $2.4

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