{"product_id":"against-all-odds-how-to-play-lotteries-if-you-must-hardcover","title":"Against All Odds: How to Play LOTTERIES, If You Must - Hardcover","description":"\u003cp\u003eby \u003cb\u003eG. Rubin Thomas\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 448\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.13 x 9 x 6 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 13, 2020\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42735342682175,"sku":"9780228822943","price":38.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/8f59432f928ee7d9900703b7eda30b33.webp?v=1765143124","url":"https:\/\/dhl-adrianne.myshopify.com\/products\/against-all-odds-how-to-play-lotteries-if-you-must-hardcover","provider":"BBB","version":"1.0","type":"link"}