PDF Publication Title:
Text from PDF Page: 028
28 Figure 1. Nunnikhoven finds that the probability of a match with 23 people, using this actual distribution, agrees with value found for the uniform distribution to three decimal places. It can be shown that a non-uniform distribution of birthdays can only increase the probability for a match with 23 people. To apply results on the birthday problem to the lottery, we should think of living on a planet where there are b = 80,089,128 possible birthdays. We must live a very long time! Here birthdays correspond to picks of the six numbers. Assuming all birthdays equally likely corresponds to assuming that all picks are equally likely. This will be true for the group who use the Easy Pick method (Powerball officials say that this is about 70% of the buyers) but not for the other 30% who pick their own numbers. There are a number of approximate methods for answering birthday problems when the number of possible birthdays m is large. In the appendix, we illustrate a Poisson approximation showing that the number of people necessary to make it a fair bet that at least two people have the same birthday is approximately 1.2 m . Choosing m = 80,089,128 we find that only 10,740 Easy Pick tickets have to be sold before there is a better than even chance that at least two of these picks are the same, even though there are more than 80 million possible picks!PDF Image | USING LOTTERIES IN TEACHING A CHANCE COURSE
PDF Search Title:
USING LOTTERIES IN TEACHING A CHANCE COURSEOriginal File Name Searched:
using_lotteries.pdfDIY PDF Search: Google It | Yahoo | Bing
Cruise Ship Reviews | Luxury Resort | Jet | Yacht | and Travel Tech More Info
Cruising Review Topics and Articles More Info
Software based on Filemaker for the travel industry More Info
The Burgenstock Resort: Reviews on CruisingReview website... More Info
Resort Reviews: World Class resorts... More Info
The Riffelalp Resort: Reviews on CruisingReview website... More Info
| CONTACT TEL: 608-238-6001 Email: greg@cruisingreview.com | RSS | AMP |