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Parameters of the lottery matrices To each lottery we can attach a set of basic numerical parameters through which that lottery is uniquely identified. These parameters are as follows: - the total number of the numbers from the urn, further denoted by m; - the number of numbers of a draw, further denoted by n; - the number of numbers on a simple playing ticket (or the number of numbers of a simple line), further denoted by p; - the number of winning categories, further denoted by q; - the minimum number of winning numbers for each winning category, further denoted by n , n ,, n (in decreasing order of the 12q amount of the prize); - the price of a simple ticket (simple line), further denoted by c; - the percentage from sales for the prize fund, further denoted by f; - the percentages in which the prize fund is distributed to each winning category, further denoted by f1, f2,, fq . Any numerical instance of the vector (m,n,p,q,n,n,,n,c,f, f,f,,f)willbecalledalottery 12q12q matrix. The parameters that determine the technical progress of the game in a certain lottery matrix and which are taken into account in the construction of the general probability formulas are (m,n,p,q,n,n ,,n ). 12q The initial conditions these parameters must fit for the represented lottery matrix to be mathematically valid are: m,n,p,q,n1,n2,,nq ∈ 1≤ p≤nPDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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