{"product_id":"against-all-odds-how-to-play-lotteries-if-you-must-9780228822943","title":"Against All Odds: How to Play LOTTERIES, If You Must","description":"\u003cp\u003eThis book is about the lottery known as lotto, which has one of the longest odds for the big one. \u003c\/p\u003e\u003cp\u003eFour main problems are solved. \u003c\/p\u003e\u003cp\u003e- Learn principles of chance so you can be in the game but lose less\u003c\/p\u003e\u003cp\u003e- Learn that there is no strategy but improve the frequency of small wins\u003c\/p\u003e\u003cp\u003e- Use the object called 'spectrum' to compute combined chance of many blocks of numbers \u003c\/p\u003e\u003cp\u003e- Teach those who erroneously think that the utility-to-risk ratio is too small in lotteries\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eWhile 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. \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe 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 \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003e\u003ci\u003eThomas, G. Rubin:\u003c\/i\u003e\u003c\/b\u003e - \"Dr. Thomas is a research mathematician whose life work has been the mentoring of students - 7 to 18 years of age - showing high promise in mathematics. He founded several summer programs in Canada, USA, and China for these students. This book is his mentoring campaign for the general adult public..\"","brand":"Tellwell Talent","offers":[{"title":"Default Title","offer_id":51181928579346,"sku":"9780228822943","price":24.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_e075086f-5d81-4f53-ac26-073da29ddabb.jpg?v=1744409443","url":"https:\/\/surprise-castle.myshopify.com\/products\/against-all-odds-how-to-play-lotteries-if-you-must-9780228822943","provider":"Surprise Castle","version":"1.0","type":"link"}