Ina state's Pick 3 lottery game, you pay $0.84 to select a sequence of three digits (from 0 to 9), such as 277. If you select the same sequence of three digits that are drawn, you win and collect $261.73. 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. f 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. f you bet $0.84 in a certain state's Pick 4 game, the expected value is -$0.58. Which bet is better, a $0.84 bet in the Pick 3 game or a $0.84 bet in the Pick 4 game? Explain. OA. The Pick 3 game is a better bet because it has a larger expected vallue OB. Neither bet is better because both games have the same expected value. OC. The Pick 4 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 $0.84 to select a sequence of three digits (from 0 to 9), such as 277. If you select the same sequence of three digits that are drawn, you win and collect $261.73. 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 $0.84 in a certain state's Pick 4 game, the expected value is
$0.58. Which bet is better, a $0.84 bet in the Pick 3 game or a $0.84 bet in the Pick 4 game? Explain.
O A. The Pick 3 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.
C. The Pick 4 game is a better bet because it has a larger expected value.
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Transcribed Image Text:In a state's Pick 3 lottery game, you pay $0.84 to select a sequence of three digits (from 0 to 9), such as 277. If you select the same sequence of three digits that are drawn, you win and collect $261.73. 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 $0.84 in a certain state's Pick 4 game, the expected value is $0.58. Which bet is better, a $0.84 bet in the Pick 3 game or a $0.84 bet in the Pick 4 game? Explain. O A. The Pick 3 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. C. The Pick 4 game is a better bet because it has a larger expected value. Textbook StatCrunch O Time Remaining: 00:33:25 Next OCT 25 MacBook COns lock H. N.
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