In a​ state's Pick 3 lottery​ game, you pay ​$1.29 to select a sequence of three digits​ (from 0 to​ 9), such as 433. If you select the same sequence of three digits that are​ drawn, you win and collect ​$274.03. Complete parts​ (a) through​ (e).       Question content area bottom Part 1 a. How many different selections are​ possible?   10001000 Part 2 b. What is the probability of​ winning?   0.0010.001 ​(Type an integer or a​ decimal.) Part 3 c. If you​ win, what is your net​ profit?   ​$272.74272.74 ​(Type an integer or a​ decimal.) Part 4 d. Find the expected value.   ​$enter your response here  ​(Round to the nearest hundredth as​ needed.)

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