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7/47 w r Cr7 4 5 6 7 min.4 min.5 min.6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 8 0.010172 36 0.016901 120 0.025945 330 0.037465 792 0.051514 1716 0.068031 3432 0.086839 6435 0.107652 11440 0.13008 19448 0.153642 31824 0.177786 50388 0.2019 77520 0.225335 116280 0.247426 170544 0.267516 0.00066 0.001408 0.002669 0.004628 0.007493 0.01148 0.016808 0.023683 0.032296 0.0428 0.055311 0.069888 0.086528 0.105156 0.125616 1.74E-05 5.08E-05 0.000124 0.000264 0.000514 0.000928 0.001576 0.002547 0.003947 0.005904 0.00856 0.012079 0.01664 0.022433 0.029659 1.27E-07 5.72E-07 1.91E-06 5.25E-06 1.26E-05 2.73E-05 5.46E-05 0.000102 0.000182 0.000309 0.000506 0.000801 0.001233 0.001849 0.002712 0.010849 0.018361 0.028739 0.042363 0.059534 0.080466 0.105277 0.133984 0.166505 0.202655 0.242163 0.284669 0.329736 0.376864 0.425503 0.000677 0.00146 0.002794 0.004898 0.00802 0.012435 0.018438 0.026332 0.036425 0.049013 0.064377 0.082769 0.104401 0.129438 0.157987 1.75E-05 5.13E-05 0.000125 0.00027 0.000527 0.000955 0.00163 0.002649 0.004129 0.006213 0.009066 0.012881 0.017873 0.024282 0.032371 In the previous tables, the upper value of parameter r has not been chosen through a specific rule; still, we took into account the total number of playing numbers, as well as the fact that, for the listed higher values, the effective play has no practical motivation, since the large numbers of played lines requires a substantial initial investment. Still, for values of r that are not listed in tables, one can calculate any winning probability directly through the general formula presented at the beginning of this section. Examples of how to use the tables: In a 5/55 matrix, let us find the probability of winning with a minimum of 4 numbers of a 12-number compound line. How much does such system cost, if a simple line costs $0.50? In the table corresponding to matrix 5/55, we follow the intersection of row r = 12 with column w = min.4 and we find the probability 0.006346, that is 0.6346%. 43PDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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