30. Expected Value in North Carolina's Pick 4 Game In North Carolina's Pick 4 lottery game, you can pay $1 to select a four-digit number from 0000 through 9999. If you select the same sequence of four digits that are drawn, you win and collect $5000. a. How many different selections are possible? b. What is the probability of winning? c. If you win, what is your net profit?

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30. Expected Value in North Carolina's Pick 4 Game In North Carolina's Pick 4 lottery
game, you can pay $1 to select a four-digit number from 0000 through 9999. If you select the
same sequence of four digits that are drawn, you win and collect $5000.
a. How many different selections are possible?
b. What is the probability of winning?
c. If you win, what is your net profit?
d. Find the expected value.
e. If you bet $1 in North Carolina's Pick 3 game, the expected value is -50¢. Which bet is bet-
ter in the sense of a producing a higher expected value: A $1 bet in the North Carolina Pick 4
game or a $1 bet in the North Carolina Pick 3 game?
19digen
gia
Transcribed Image Text:30. Expected Value in North Carolina's Pick 4 Game In North Carolina's Pick 4 lottery game, you can pay $1 to select a four-digit number from 0000 through 9999. If you select the same sequence of four digits that are drawn, you win and collect $5000. a. How many different selections are possible? b. What is the probability of winning? c. If you win, what is your net profit? d. Find the expected value. e. If you bet $1 in North Carolina's Pick 3 game, the expected value is -50¢. Which bet is bet- ter in the sense of a producing a higher expected value: A $1 bet in the North Carolina Pick 4 game or a $1 bet in the North Carolina Pick 3 game? 19digen gia
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