Roll up the Rim: Part A When Tim Hortons used physical cups for their Roll up the Rim contest (before switching over to "digital cups") they printed the cups so that 1 out of every 6 cups would be a winner. If the winning cups are truly randomly spread throughout the country, what is the expected number of cups you would need to buy until you found a winning cup? Roll up the Rim: Part B What would represent a significant difference from the expected number of cups purchased before a successful cup is purchased?  In other words, what is the standard deviation for the number of cups needed before a winning cup is found?   Roll up the Rim: Part C A person feels they are particularly unlucky when it came to buying Tim Hortons coffee and winning Roll up the Rim. They often tell the story about how they kept buying losing coffee cups until the 19th cup was their first winning cup. What is the probability that someone could purchase this many cups and only win on the 19th cup?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Roll up the Rim: Part A

When Tim Hortons used physical cups for their Roll up the Rim contest (before switching over to "digital cups") they printed the cups so that 1 out of every 6 cups would be a winner. If the winning cups are truly randomly spread throughout the country, what is the expected number of cups you would need to buy until you found a winning cup?

Roll up the Rim: Part B

What would represent a significant difference from the expected number of cups purchased before a successful cup is purchased?  In other words, what is the standard deviation for the number of cups needed before a winning cup is found?  

Roll up the Rim: Part C

A person feels they are particularly unlucky when it came to buying Tim Hortons coffee and winning Roll up the Rim. They often tell the story about how they kept buying losing coffee cups until the 19th cup was their first winning cup. What is the probability that someone could purchase this many cups and only win on the 19th cup?

 

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Roll up the Rim: Part D

What is the probability of buying a winning cup within your first 3 cups?

 

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