MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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This is a Statistics problem. Please explain each step thoroughly.

The problem I'm having issues with is shown below:

3.14
To play the Missouri lottery Pick 3, you choose three digits 0-9 in order. Later, the lottery selects three
digits at random, and you win if your choices match the lottery values in some way. Here are some
possible bets you can play:
a. $1 Straight wins if you correctly guess all three digits, in order. It pays $600.
b. $1 Front Pair wins if you correctly guess the first two digits. It pays $60.
c. $1 Back Pair wins if you correctly guess the last two digits. It pays $60.
d. $6 6-way combo wins if the three digits are different and you guess all three in any order. It pays
$600.
e. $3 3-way combo wins if two of the three digits are the same, and you guess all three in any order. It
pays $600.
f. $1 1-off lets you win if some of your digits are off by one (9 and 0 are considered to be one off from
each other). If you get the number exactly correct, you win $300. If you have one digit off by one,
you win $29. If you have two digits off by one, you win $4, and if all three of your digits are off by
one you win $9.
Consider the value of your bet to be your expected winnings per dollar bet. What value do each of these
bets have?
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Transcribed Image Text:3.14 To play the Missouri lottery Pick 3, you choose three digits 0-9 in order. Later, the lottery selects three digits at random, and you win if your choices match the lottery values in some way. Here are some possible bets you can play: a. $1 Straight wins if you correctly guess all three digits, in order. It pays $600. b. $1 Front Pair wins if you correctly guess the first two digits. It pays $60. c. $1 Back Pair wins if you correctly guess the last two digits. It pays $60. d. $6 6-way combo wins if the three digits are different and you guess all three in any order. It pays $600. e. $3 3-way combo wins if two of the three digits are the same, and you guess all three in any order. It pays $600. f. $1 1-off lets you win if some of your digits are off by one (9 and 0 are considered to be one off from each other). If you get the number exactly correct, you win $300. If you have one digit off by one, you win $29. If you have two digits off by one, you win $4, and if all three of your digits are off by one you win $9. Consider the value of your bet to be your expected winnings per dollar bet. What value do each of these bets have?
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