Roulette Odds and Profits: The Mathematics of Complex BetsINFAROM Publishing, 2008 - 212 Continuing his series of books on the mathematics of gambling, the author shows how a simple-rule game such as roulette is suited to a complex mathematical model whose applications generate improved betting systems that take into account a player's personal playing criteria. The book is both practical and theoretical, but is mainly devoted to the application of theory. About two-thirds of the content is lists of categories and sub-categories of improved betting systems, along with all the parameters that might stand as the main objective criteria in a personal strategy - odds, profits and losses. The work contains new and original material not published before. The mathematical chapter describes complex bets, the profit function, the equivalence between bets and all their properties. All theoretical results are accompanied by suggestive concrete examples and can be followed by anyone with a minimal mathematical background because they involve only basic algebraic skills and set theory basics. The reader may also choose to skip the math and go directly to the sections containing applications, where he or she can pick desired numerical results from tables. The book offers no new so-called winning strategies, although it discusses them from a mathematical point of view. It does, however, offer improved betting systems and helps to organize a player's choices in roulette betting, according to mathematical facts and personal strategies. It is a must-have roulette handbook to be studied before placing your bets on the turn of either a European or American roulette wheel. |
Spis treści
Introduction | 5 |
The Supporting Mathematics | 13 |
Betting on a colour and on numbers of the opposite colour | 63 |
Betting on a column and on outside numbers | 83 |
Betting on the third column and on the colour black | 107 |
Betting on corners and on the opposite of the predominant | 121 |
Betting on a colour and on splits of the opposite colour | 129 |
Betting on HighLow and on splits of lowhigh numbers | 139 |
Betting on first and third columns and on the colour black | 157 |
Kluczowe wyrazy i wyrażenia
00 occurs 1stC American roulette basic stake according betting behaviors black number colour red colour Winning complex bet criteria denotations disjointed elementary events equivalent bets European roulette events are mutually example exclusive and exhaustive expect to lose field of events find the probability finite formulas return happens high number inclusion-exclusion principle increases by increments intersections Let us find lose on average mathematical expectation medium runs mutually exclusive n c Odds non-negative profit number Not winning numerical returns occur exactly occur with probability occurring is P(A Odds Profit Odds partition payout player loses player wins players to replace possible placements probability for event probability of losing probability of winning probability q Profit Odds Loss Profit Odds Profit red number roulette wheel sample space second column simple bet simple bets someone should expect stair function straight-up bets table note unique placements variable for players wins or loses

