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Contents (of the complete edition) Introduction ...................................................................................... 5 The Rules of Lottery ....................................................................... 11 Supporting Mathematics ................................................................ 15 Probability space .......................................................................... 16 Probability properties and formulas used ..................................... 19 Combinatorics ............................................................ 22 Parameters of the lottery matrices ....................................... 25 Number Combinations ........................................................ 27 Probabilities of Winning with Simple Lines .................................. 37 General formula of the winning probability ............................ 37 Cumulated winning probabilities ....................................... 53 Intermediary probabilities .............................................. 67 Enhancing the Winning Probability ........................................ 75 Probabilities of winning with systems .................................. 76 Probability thresholds ................................................... 91 Compound Lines ................................................................. 107 Unfolding compound lines ................................................. 108 Winning probabilities ..................................................... 111 The number of prizes ................................................... 127 Systems of compound lines ........................................................... 136 Bridgehead Systems ....................................................... 141 Winning probabilities ..................................................... 142 The number of prizes ................................................... 155 Reduced Systems ............................................................. 159 Obtaining the reduced systems ......................................... 161 Winning probabilities ..................................................... 173 Probabilities of Repeated Events ......................................... 177 The Strategy of Choosing ................................................ 191 References ......................................................................................... 203 3PDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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