Against All Odds

This book is about the lottery known as lotto, which has one of the longest odds for the big one.

Four main problems are solved.

- Learn principles of chance so you can be in the game but lose less

- Learn that there is no strategy but improve the frequency of small wins

- Use the object called 'spectrum' to compute combined chance of many blocks of numbers

- Teach those who erroneously think that the utility-to-risk ratio is too small in lotteries



While the main text is about odds and ways of playing and is easy reading as a daily newspaper, the large appendix explains the 'why' to the mathematically inclined. The appendix is also a source of probability problems for high school students. Implicit in the chapters on 'lotto designs' is a countable infinity of Ph. D. research problems.



The vast subject of probability began centuries ago with a dice problem solved by great mathematicians. Here now is guidance on lotteries, from a mathematician! Here is help in your play against the long odds in the most popular lottery so it will not be a "lootery" on you!