1. Consider a weekly lottery where the probability of winning is - week, forever, you will eventually win. But what is the smallest number of weeks you would have to play to have a greater than 50% chance of winning? You may find the following result useful – or you may not need to use it at all (a closely related result was demonstrated in class). If q is a number between 0 and 1, then for any positive value of n we have: If you play 1,000,000 every 1- qn+1 п Σ q* k=0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...
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1. Consider a weekly lottery where the probability of winning is -
week, forever, you will eventually win. But what is the smallest number of weeks you would
have to play to have a greater than 50% chance of winning?
You may find the following result useful – or you may not need to use it at all (a closely
related result was demonstrated in class). If q is a number between 0 and 1, then for any positive
value of n we have:
If you play
1,000,000
every
1- qn+1
п
Σ
q*
k=0
Transcribed Image Text:1. Consider a weekly lottery where the probability of winning is - week, forever, you will eventually win. But what is the smallest number of weeks you would have to play to have a greater than 50% chance of winning? You may find the following result useful – or you may not need to use it at all (a closely related result was demonstrated in class). If q is a number between 0 and 1, then for any positive value of n we have: If you play 1,000,000 every 1- qn+1 п Σ q* k=0
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