{"product_id":"against-all-odds-book-g-rubin-thomas-9780228822905","title":"Against All Odds","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","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49629865246993,"sku":"GOR013738773","price":6.9,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51000345002257,"sku":"NIN9780228822905","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52477245686033,"sku":"NLS9780228822905","price":19.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0228822904.jpg?v=1750876668","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/against-all-odds-book-g-rubin-thomas-9780228822905","provider":"World of Books ","version":"1.0","type":"link"}