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A man buys a racehorse for $20,000 and enters it in two races. He hopes to make a profit from selling the horse after the
A man buys a racehorse for $20,000 and enters it in two races. He hopes to make a profit from selling the horse after the two races. If the horse wins both races, its value will jump to $100,000. If it wins one of the races, it will be worth $60,000. If, however, it loses both races, it will be worth only $15,000. The man believes there is a 25% 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 indepent events, find the man's expected profit.
The expected profit is $
( nearest dollar)
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