Racehorse A man buys a racehorse for $20,000 and enters it in two races. He plans to sell the horse after-ward, hoping to make a profit. If the horse wins both races, its value will jump to $100,000. If it wins one ofthe races, it will be worth $50,000. If it loses both races,it will be worth only $10,000. The man believes there’sa 20% chance that the horse will win the first race and a30% chance it will win the second one. Assuming thatthe two races are independent events, find the man’sexpected profit.

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Racehorse A man buys a racehorse for $20,000 and
enters it in two races. He plans to sell the horse after-
ward, hoping to make a profit. If the horse wins both
races, its value will jump to $100,000. If it wins one of
the races, it will be worth $50,000. If it loses both races,
it will be worth only $10,000. The man believes there’s
a 20% chance that the horse will win the first race and a
30% chance it will win the second one. Assuming that
the two races are independent events, find the man’s
expected profit.
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