Jay Seago is suing the manufacturer of his car for $$3\mathrm{.}5$ million because of a defect that he believes caused him to have an accident. The accident kept him out of work for a year. The company has offered him a settlement of $$700,000,0$ which Jay would receive $$600,000$ after attorney's fees. His attorney has advised him that he has a $50\%$ chance of winning his case. If he loses, he will incur attorney's fees and court costs of $$75,000.$ If he wins, he is net guaranteed his full requested settlement, in which case Jay would realize $$2$ million after his attorney takes his cut, and a $50\%$ chance that the jury will award him a lesser amount of $$1$ million, of which Jay would get $$500,000.$ What is the expected payoff if Jay wins the lawsuit?

$$1,350,000$

$$2,500,000$

$$600,000$

$$75,000$

None of the above