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Showing posts with label education. Show all posts
Showing posts with label education. Show all posts

Thursday, February 7, 2013

Whittaker's Luck - Explains why two unrelated men won their country's large lottery jackpots!

If you want to win the lottery, perhaps you should change your name to Whittaker.

Within the strange coincidence of luck, we read that two unrelated men with the same last name have both won a large jackpot in different countries. This article explains why they won.

Most recently, James Whittaker of Edmonton Alberta won $15.7 million playing Canada's Lotto 649. James's winning was in the January 16, 2013 drawing.  His numbers were: 14 21 27 34 37 38 (he did not need the Bonus ball 10). James bought his ticket at a 7-Eleven store.

A little more than 10 years ago, Andrew Jackson “Jack” Whittaker won $314.9 million playing the U.S. Powerball lottery. Jack's winning occurred in the December 25 2002 drawing.  His lucky numbers were: 5, 14, 16, 29, 53, and Powerball 7. Jack purchased his ticket at the C&L Super Serve convenience store.

James Whittaker
The lives of these two men are quite a bit different. James is a young and unmarried Canadian. He always wanted to win the lottery, and now that he did, he plans to invest his winnings and do some traveling. Because Canada does not tax lottery winnings, James will get to keep his full $15.7 million.

"Jack" Whittaker
Jack, on the other hand, was a 55 year old United States citizen living in Jumping Branch, WV. He was married and owned a construction company. Although the official lottery picture shows Jack with a check for $314.9 million, Jack chose to take the cash option. After taxes were withheld, Jack received only $93 million (still quite a nice sum).

After winning, Jack had many personal and family problems. Hopefully, young James will learn from Jack's experiences and manage both his money and his life differently so that he avoids the pitfalls that Jack and other lottery winners encountered.

If you're wondering, the name Whittaker is a variation of the common name Whitaker (only 1 "T"). It's origin is from Old English and means "white acre" or "white field" depending on which source is used.

Uniquely though, both Jack and James spell their last name the exact same way (with two "T"s).

So, why did they both win the lottery? The only logical explanation is: Whittaker's Luck!

Now that we know of Whittaker's Luck, maybe we should all rush out: change our last name to Whittaker; and then buy some lottery tickets at a local convenience store. Note that it doesn't matter: if you are married or not, which country you live in; or how old you are. Only your last name and where you buy the ticket are important! But, make sure that your name has 2 "T"s in it.

Gotta go now. I'm rushing off to the courthouse to change my name!

Sources

Tuesday, January 26, 2010

Coming Soon - A When to Play Mega Millions or Powerball Guide

States will begin cross-selling tickets for Powerball and Mega Millions lotteries on January 31, 2010.

To help players on limited budgets decide which game to purchase, we are preparing a "When to Play Guide". It will present a break-even table illustrating which lottery returns the most to the public and offers the best return for your dollars.

In addition, it will discuss the Megaplier and Power Play options, and let you know if and when you should buy them.

We expect to publish this new report early next week, so stay tuned!

Friday, September 26, 2008

Chances of Duplicate Lottery Tickets - Special Edition

Introduction
We've often wondered what the likelihood of different lottery players having the same combinations in a single drawing actually was. Looking for an answer, we searched the internet, but could not find it. So, we decided to conduct our own research. This was performed by studying the classic Identical Birthday Problem, identifying the underlying mathematical formula, applying this formula to individual lotteries, and summarizing our results.

Birthday Problem
How often have you been in a group of people and discovered that two of you shared the same birthday? Was this purely coincidence, a random event? Or, was it in fact highly likely?

The classic form of the Birthday Problem, which is familiar to most everyone, quantifies the chances of two people sharing the same birthday. Given a probability of certainty, the Birthday Problem solution calculates the size of smallest group necessary to meet that probability.

Thus, when in a group of 23 (22.5 actually) people, you can be 50% certain that two or more of you share the same birthday. To be 99.9% sure, you need a group of 71 people!

The Mathematics
The formula behind this solution is fairly simple, and in terms of Excel is written as:

SQRT(2*PopulationSize*LN(1/(1-Probability)))

We solve the Birthday Problem by substituting the PopulationSize with 365 days and the Probability of 0.50 or 0.999 to acheive the answers above.

Calculating the Chances of Duplicate Lottery Tickets
We applied the formula above to the various lottery games that we cover and produced the Chance of Duplicates Table below.

The first column identifies the lottery Game. Next is the Population (total number of possible combinations) for that game. The 3rd and 4th columns are our results. Column A identifies the minimum number of tickets that must be issued in order to be 50% sure that there at least one duplicate. Column B is similar, but identifies the minimum number of tickets that must be issued in order to be 99.9% sure that there at least one duplicate.

Chance of Duplicates
GamePopulationCol A
50%
Sure
Col B
99.9%
Sure
Powerball146,107,96214,232.044,928.3
Powerball (Jan 09)195,249,05416,452.151,937.1
Mega Millions175,711,53615,607.349,270.1
Lotto 64913,983,8164,402.913,899.4
Super 762,891,4999,377.429,476.7
Super Lotto Plus41,416,3537,577.323,920.5
Hot Lotto10,939,3833,894.312,293.6
EuroMillions76,275,36010,283.032,462.0
Irish Lotto8,145,0603,360.310,607.9
UK Lotto13,983,8164,402.913,899.4
Thunderball3,895,5842,323.97,336.2
Birthdays36522.571.0

The Chances
As shown, the chances that duplicate lottery tickets will be sold are very likely. For example, there is a 50% chance that duplicate Powerball tickets will be issued when only 14,232 tickets are sold. And, you can be 99.9% sure that there are duplicates when only 45,000 tickets are sold. When Powerball changes format in January 2009, the total number of possible combinations will increase by over 49 million. Even so, you can be 99.9% sure that there will be duplicates when only 52,000 tickets are sold. By reading the table above, you can determine the likelihood of duplicate tickets in your favorite lottery, whether it be: Powerball, Mega Millions, Super Lotto Plus, Hot Lotto, EuroMillions, Irish Lotto, UK Lotto, or Thunderball.

Summary
This study identifies the number of tickets that must be sold in order to be 50% and 99.9% mathematically certain that one or more people will have duplicate combinations. While this information is not sufficient to estimate the total number of duplicate tickets, it provides a guideline to understand the chances. If you live in a small town of around 50,000 people, and everyone buys 1 lottery ticket, don't be surprised if you discover that someone else has the same combination as yours.

JL .........




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