2. EuroMillions is a lottery in which you pick five numbers from 1 to 50 and two Lucky Star numbers from 1 to 12. On February 11th 2022, someone in County Clare won the €30.9m jackpot with the numbers 13, 18, 38, 42, 45 and lucky stars 07 and 11. Let's assume that the EuroMillions is without replacement, find: a. If we assume that the numbers are replaced after being chosen, what is the probability of getting the five numbers 13, 18, 38, 42, 45? How does that change if they are not replaced but removed from the sample? b. What is the probability of getting the lucky starts numbers 07 and 11? C. What is the probability of winning the lottery, i.e. getting the numbers 13, 18, 38, 42, 45 and lucky stars 07 and 11? In a letter to EuroMillions, someone suggests changing the rules for the Lucky Star. The suggestions is that, for the Lucky Stars to be truly lucky, the order in the numbers should not matter. This would imply that a person with the numbers 11 and 07 in the lucky stars could have also won the lottery. d. What would be the probability of winning the lottery if the suggestions is implemented? That is to say what is the probability of getting the numbers 13, 18, 38, 42, 45 and lucky stars 07 and 11 or getting the numbers 13, 18, 38, 42, 45 and lucky stars 11 and 07?
2. EuroMillions is a lottery in which you pick five numbers from 1 to 50 and two Lucky Star numbers from 1 to 12. On February 11th 2022, someone in County Clare won the €30.9m jackpot with the numbers 13, 18, 38, 42, 45 and lucky stars 07 and 11. Let's assume that the EuroMillions is without replacement, find: a. If we assume that the numbers are replaced after being chosen, what is the probability of getting the five numbers 13, 18, 38, 42, 45? How does that change if they are not replaced but removed from the sample? b. What is the probability of getting the lucky starts numbers 07 and 11? C. What is the probability of winning the lottery, i.e. getting the numbers 13, 18, 38, 42, 45 and lucky stars 07 and 11? In a letter to EuroMillions, someone suggests changing the rules for the Lucky Star. The suggestions is that, for the Lucky Stars to be truly lucky, the order in the numbers should not matter. This would imply that a person with the numbers 11 and 07 in the lucky stars could have also won the lottery. d. What would be the probability of winning the lottery if the suggestions is implemented? That is to say what is the probability of getting the numbers 13, 18, 38, 42, 45 and lucky stars 07 and 11 or getting the numbers 13, 18, 38, 42, 45 and lucky stars 11 and 07?
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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Transcribed Image Text:2. EuroMillions is a lottery in which you pick five numbers from 1 to 50 and two Lucky Star numbers
from 1 to 12. On February 11th 2022, someone in County Clare won the €30.9m jackpot with the
numbers 13, 18, 38, 42, 45 and lucky stars 07 and 11. Let's assume that the EuroMillions is
without replacement, find:
a. If we assume that the numbers are replaced after being chosen, what is
the probability of getting the five numbers 13, 18, 38, 42, 45? How does that change
if they are not replaced but removed from the sample?
What is the probability of getting the lucky starts numbers 07 and 11?
What is the probability of winning the lottery, i.e. getting the numbers 13, 18, 38, 42,
45 and lucky stars 07 and 11?
b.
C.
In a letter to EuroMillions, someone suggests changing the rules for the Lucky Star. The
suggestions is that, for the Lucky Stars to be truly lucky, the order in the numbers should not
matter. This would imply that a person with the numbers 11 and 07 in the lucky stars could have
also won the lottery.
d. What would be the probability of winning the lottery if the suggestions is
implemented? That is to say what is the probability of getting the numbers 13, 18,
38, 42, 45 and lucky stars 07 and 11 or getting the numbers 13, 18, 38, 42, 45 and
lucky stars 11 and 07?
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