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 744. If you select the same sequence of three digits that are drawn, you win and collect $313.82. Complete parts (a) through (e). a. How many different selections are possible? 1000 b. What is the probability of winning? 0.001 (Type an integer or a decimal.) c. If you win, what is your net profit? $3112.66 (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 - $0.85. 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. The Pick 3 game is a better bet because it has a larger expected value. OC. Neither bet is better because both games have the same expected value.
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 744. If you select the same sequence of three digits that are drawn, you win and collect $313.82. Complete parts (a) through (e). a. How many different selections are possible? 1000 b. What is the probability of winning? 0.001 (Type an integer or a decimal.) c. If you win, what is your net profit? $3112.66 (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 - $0.85. 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. The Pick 3 game is a better bet because it has a larger expected value. OC. Neither bet is better because both games have the same expected value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 744. If you select the same sequence of three digits that are drawn, you win and collect $313.82. Complete parts (a) through (e).
a. How many different selections are possible?
1000
b. What is the probability of winning?
0.001 (Type an integer or a decimal.)
c. If you win, what is your net profit?
$ 3112.66 (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 - $0.85. 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. The Pick 3 game is a better bet because it has a larger expected value.
C. Neither bet is better because both games have the same expected value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fa41ffc-0925-48af-ab22-761f7a79d610%2Ffc6fb977-2c06-4128-b53c-eb878f4adb0e%2Fyhlidsj_processed.png&w=3840&q=75)
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 744. If you select the same sequence of three digits that are drawn, you win and collect $313.82. Complete parts (a) through (e).
a. How many different selections are possible?
1000
b. What is the probability of winning?
0.001 (Type an integer or a decimal.)
c. If you win, what is your net profit?
$ 3112.66 (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 - $0.85. 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. The Pick 3 game is a better bet because it has a larger expected value.
C. Neither bet is better because both games have the same expected value.
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