Against All Odds

<p>This book is about the lottery known as lotto which has one of the longest odds for the big one. </p><p>Four main problems are solved. </p><p>- Learn principles of chance so you can be in the game but lose less</p><p>- Learn that there is no strategy but improve the frequency of small wins</p><p>- Use the object called 'spectrum' to compute combined chance of many blocks of numbers </p><p>- Teach those who erroneously think that the utility-to-risk ratio is too small in lotteries</p><p> </p><p>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. </p><p> </p><p>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!</p>