In a state's Pick 3 lottery game, you pay $1.16 to select a sequence of three digits (from 0 to 9), such as 988. If you select the same sequence of three digits that are drawn, you win and collect $416.56. Complete parts (a) through (e). a. How many different selections are possible? b. What is the probability of winning? OType an integer or a decimal.) c. If you win, what is your net profit? $ (Type an integer or a decimal.) d. Find the expected value. S (Round to the nearest hundredth as needed.) e. If you bet $1.16 in a certain state's Pick 4 game, the expected value is -$0.74. Which bet is better, a $1.16 bet in the Pick 3 game or a $1.16 bet in the Pick 4 game? Explain. O A. The Pick 4 game is a better bet because it has a larger expected value. O B. Neither bet is better because both games have the same expected value. O C. The Pick 3 game is a better bet because it has a larger expected value.

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In a state's Pick 3 lottery game, you pay $1.16 to select a sequence of three digits (from 0 to 9), such as 988. If you select the same sequence of three digits that are drawn, you win and collect $416.56. Complete parts (a) through (e).
a. How many different selections are possible?
b. What is the probability of winning?
(Type an integer or a decimal.)
c. If you win, what is your net profit?
$
(Type an integer or a decimal.)
d. Find the expected value.
$ (Round to the nearest hundredth as needed.)
e. If you bet $1.16 in a certain state's Pick 4 game, the expected value is - $0.74. Which bet is better, a $1.16 bet in the Pick 3 game or a $1.16 bet in the Pick 4 game? Explain.
A. The Pick 4 game is a better bet because it has a larger expected value.
B. Neither bet is better because both games have the same expected value.
O C. The Pick 3 game is a better bet because it has a larger expected value.
Transcribed Image Text:In a state's Pick 3 lottery game, you pay $1.16 to select a sequence of three digits (from 0 to 9), such as 988. If you select the same sequence of three digits that are drawn, you win and collect $416.56. Complete parts (a) through (e). a. How many different selections are possible? b. What is the probability of winning? (Type an integer or a decimal.) c. If you win, what is your net profit? $ (Type an integer or a decimal.) d. Find the expected value. $ (Round to the nearest hundredth as needed.) e. If you bet $1.16 in a certain state's Pick 4 game, the expected value is - $0.74. Which bet is better, a $1.16 bet in the Pick 3 game or a $1.16 bet in the Pick 4 game? Explain. A. The Pick 4 game is a better bet because it has a larger expected value. B. Neither bet is better because both games have the same expected value. O C. The Pick 3 game is a better bet because it has a larger expected value.
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