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Expected Value of a Lottery Ticket

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A charity sells 10,000 lottery tickets for $1 each. There is one prize. The table provided shows the probability distribution for the net payoff for a person who buys one ticket. If the prize money were doubled, what would be the new expected value of the net payoff per ticket?

OutcomeNet PayoffProbability
Win749974991/100001/10000
Lose−1-19999/100009999/10000
A

The expected value becomes approximately +0.50+0.50 per ticket.

B

The expected value becomes +7.50+7.50 per ticket.

C

The expected value remains a 0.250.25 loss per ticket.

D

The expected value becomes exactly +7.4999+7.4999 per ticket.

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